Abstract

We investigate common-signal-induced synchronization in two multi-mode semiconductor lasers subject to a bandwidth-limited optical noise signal. Synchronization can be achieved when the number of longitudinal modes is matched between the two lasers. The peak wavelengths need to be matched between the two lasers to achieve synchronization. In contrast, small correlation is observed when the peak wavelengths are mismatched. The synchronization is degraded as the number of longitudinal modes in one of the lasers is decreased. However, large correlation is obtained if the overlapped modes are selected and compared. We discuss the possibility of an unauthorized user reproducing the synchronized waveforms. It is difficult to completely reproduce the synchronized waveforms using synchronization if the bandwidth of the noise drive signal is limited.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref]
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  43. A. Uchida, Y. Liu, I. Fischer, P. Davis, and T. Aida, “Chaotic antiphase dynamics and synchronization in multimode semiconductor lasers,” Phys. Rev. A 64(2), 023801 (2001).
    [Crossref]
  44. J. M. Buldú, J. García-Ojalvo, and M. C. Torrent, “Multimode synchronization and communication using unidirectionally coupled semiconductor lasers,” IEEE J. Quantum Electron. 40(6), 640–650 (2004).
    [Crossref]

2017 (3)

T. Ito, H. Koizumi, N. Suzuki, I. Kakesu, K. Iwakawa, A. Uchida, T. Koshiba, J. Muramatsu, K. Yoshimura, M. Inubushi, and P. Davis, “Physical implementation of oblivious transfer using optical correlated randomness,” Sci. Rep. 7(1), 8444 (2017).
[Crossref] [PubMed]

N. Suzuki, T. Hida, M. Tomiyama, A. Uchida, K. Yoshimura, K. Arai, and M. Inubushi, “Common-signal-induced synchronization in semiconductor lasers with broadband optical noise signal,” IEEE J. Select. Top. Quantum Electron. 23(6), 1800810 (2017).

T. Sasaki, I. Kakesu, Y. Mitsui, D. Rontani, A. Uchida, S. Sunada, K. Yoshimura, and M. Inubushi, “Common-signal-induced synchronization in photonic integrated circuits and its application to secure key distribution,” Opt. Express 25(21), 26029–26044 (2017).
[Crossref] [PubMed]

2016 (2)

2015 (4)

C. Xue, N. Jiang, K. Qiu, and Y. Lv, “Key distribution based on synchronization in bandwidth-enhanced random bit generators with dynamic post-processing,” Opt. Express 23(11), 14510–14519 (2015).
[Crossref] [PubMed]

J. Muramatsu, K. Yoshimura, P. Davis, A. Uchida, and T. Harayama, “Secret-key distribution based on bounded observability,” Proc. IEEE 103(10), 1762–1780 (2015).
[Crossref]

J. Ohtsubo, R. Ozawa, and M. Nanbu, “Synchrony of small nonlinear networks in chaotic semiconductor lasers,” Jpn. J. Appl. Phys. 54(7), 072702 (2015).
[Crossref]

F. Böhm, A. Zakharova, E. Schöll, and K. Lüdge, “Amplitude-phase coupling drives chimera states in globally coupled laser networks,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 91(4), 040901 (2015).
[Crossref] [PubMed]

2014 (1)

S. Sunada, K. Arai, K. Yoshimura, and M. Adachi, “Optical phase synchronization by injection of common broadband low-coherent light,” Phys. Rev. Lett. 112(20), 204101 (2014).
[Crossref]

2013 (1)

2012 (4)

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express 20(11), 11813–11829 (2012).
[Crossref] [PubMed]

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett. 108(7), 070602 (2012).
[Crossref] [PubMed]

J. Tiana-Alsina, K. Hicke, X. Porte, M. C. Soriano, M. C. Torrent, J. García-Ojalvo, and I. Fischer, “Zero-lag synchronization and bubbling in delay-coupled lasers,” Phys. Rev. E 85(2), 026209 (2012).
[Crossref] [PubMed]

M. Nixon, M. Fridman, E. Ronen, A. A. Friesem, N. Davidson, and I. Kanter, “Controlling Synchronization in Large Laser Networks,” Phys. Rev. Lett. 108(21), 214101 (2012).
[Crossref] [PubMed]

2011 (1)

B. Ravoori, A. B. Cohen, J. Sun, A. E. Motter, T. E. Murphy, and R. Roy, “Robustness of optimal synchronization in real networks,” Phys. Rev. Lett. 107(3), 034102 (2011).
[Crossref] [PubMed]

2010 (3)

J. Muramatsu, K. Yoshimura, and P. Davis, “Information theoretic security based on bounded observability,” Lect. Notes Comput. Sci. 5973, 128–139 (2010).
[Crossref]

N. K. Fontaine, R. P. Scott, L. Zhou, F. M. Soares, J. P. Heritage, and S. J. B. Yoo, “Real-time full-field arbitrary optical waveform measurement,” Nat. Photonics 4(4), 248–254 (2010).
[Crossref]

I. Kanter, M. Butkovski, Y. Peleg, M. Zigzag, Y. Aviad, I. Reidler, M. Rosenbluh, and W. Kinzel, “Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography,” Opt. Express 18(17), 18292–18302 (2010).
[Crossref] [PubMed]

2009 (3)

I. Oowada, H. Ariizumi, M. Li, S. Yoshimori, A. Uchida, K. Yoshimura, and P. Davis, “Synchronization by injection of common chaotic signal in semiconductor lasers with optical feedback,” Opt. Express 17(12), 10025–10034 (2009).
[Crossref] [PubMed]

S. Goto, P. Davis, K. Yoshimura, and A. Uchida, “Synchronization of chaotic semiconductor lasers by optical injection with random phase modulation,” Opt. Quantum Electron. 41(3), 137–149 (2009).
[Crossref]

D. Bar-Lev and J. Scheuer, “Enhanced key-establishing rates and efficiencies in fiber laser key distribution systems,” Phys. Lett. A 373(46), 4287–4296 (2009).
[Crossref]

2008 (2)

A. Zadok, J. Scheuer, J. Sendowski, and A. Yariv, “Secure key generation using an ultra-long fiber laser: transient analysis and experiment,” Opt. Express 16(21), 16680–16690 (2008).
[Crossref] [PubMed]

K. Yoshimura, J. Muramatsu, and P. Davis, “Conditions for common-noise-induced synchronization in time delay systems,” Physica D 237(23), 3146–3152 (2008).
[Crossref]

2007 (4)

R. Vicente, C. R. Mirasso, and I. Fischer, “Simultaneous bidirectional message transmission in a chaos-based communication scheme,” Opt. Lett. 32(4), 403–405 (2007).
[Crossref] [PubMed]

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express 15(7), 3974–3980 (2007).
[Crossref] [PubMed]

H. Nakao, K. Arai, and Y. Kawamura, “Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators,” Phys. Rev. Lett. 98(18), 184101 (2007).
[Crossref] [PubMed]

K. Yoshimura, I. Valiusaityte, and P. Davis, “Synchronization induced by common colored noise in limit cycle and chaotic systems,” Phys. Rev. E 75(2), 026208 (2007).
[Crossref] [PubMed]

2006 (2)

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E 74(4), 046201 (2006).
[Crossref] [PubMed]

J. Scheuer and A. Yariv, “Giant fiber lasers: A new paradigm for secure key distribution,” Phys. Rev. Lett. 97(14), 140502 (2006).
[Crossref] [PubMed]

2005 (1)

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref] [PubMed]

2004 (2)

J. N. Teramae and D. Tanaka, “Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators,” Phys. Rev. Lett. 93(20), 204103 (2004).
[Crossref] [PubMed]

J. M. Buldú, J. García-Ojalvo, and M. C. Torrent, “Multimode synchronization and communication using unidirectionally coupled semiconductor lasers,” IEEE J. Quantum Electron. 40(6), 640–650 (2004).
[Crossref]

2003 (1)

A. Uchida, P. Davis, and S. Itaya, “Generation of information theoretic secure keys using a chaotic semiconductor laser,” Appl. Phys. Lett. 83(15), 3213–3215 (2003).
[Crossref]

2002 (1)

C. Zhou and J. Kurths, “Noise-induced phase synchronization and synchronization transitions in chaotic oscillators,” Phys. Rev. Lett. 88(23), 230602 (2002).
[Crossref] [PubMed]

2001 (2)

R. Toral, C. R. Mirasso, E. Hernandez-Garcia, and O. Piro, “Analytical and numerical studies of noise-induced synchronization of chaotic systems,” Chaos 11(3), 665–673 (2001).
[Crossref] [PubMed]

A. Uchida, Y. Liu, I. Fischer, P. Davis, and T. Aida, “Chaotic antiphase dynamics and synchronization in multimode semiconductor lasers,” Phys. Rev. A 64(2), 023801 (2001).
[Crossref]

1998 (2)

G. D. VanWiggeren and R. Roy, “Communication with chaotic lasers,” Science 279(5354), 1198–1200 (1998).
[Crossref] [PubMed]

J.-P. Goedgebuer, L. Larger, and H. Porte, “Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode,” Phys. Rev. Lett. 80(10), 2249–2252 (1998).
[Crossref]

Adachi, M.

S. Sunada, K. Arai, K. Yoshimura, and M. Adachi, “Optical phase synchronization by injection of common broadband low-coherent light,” Phys. Rev. Lett. 112(20), 204101 (2014).
[Crossref]

Aida, H.

Aida, T.

A. Uchida, Y. Liu, I. Fischer, P. Davis, and T. Aida, “Chaotic antiphase dynamics and synchronization in multimode semiconductor lasers,” Phys. Rev. A 64(2), 023801 (2001).
[Crossref]

Annovazzi-Lodi, V.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref] [PubMed]

Arahata, M.

Arai, K.

N. Suzuki, T. Hida, M. Tomiyama, A. Uchida, K. Yoshimura, K. Arai, and M. Inubushi, “Common-signal-induced synchronization in semiconductor lasers with broadband optical noise signal,” IEEE J. Select. Top. Quantum Electron. 23(6), 1800810 (2017).

S. Sunada, K. Arai, K. Yoshimura, and M. Adachi, “Optical phase synchronization by injection of common broadband low-coherent light,” Phys. Rev. Lett. 112(20), 204101 (2014).
[Crossref]

H. Nakao, K. Arai, and Y. Kawamura, “Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators,” Phys. Rev. Lett. 98(18), 184101 (2007).
[Crossref] [PubMed]

K. Arai, K. Yoshimura, S. Sunada, and A. Uchida, “Synchronization induced by common ASE noise in semiconductor lasers,” in Proc. 2014 International Symposium on Nonlinear Theory and Its Applications (NOLTA2014) (2014), pp. 472–477.

Argyris, A.

A. Argyris, M. Bourmpos, and D. Syvridis, “Experimental synchrony of semiconductor lasers in coupled networks,” Opt. Express 24(5), 5600–5614 (2016).
[Crossref] [PubMed]

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref] [PubMed]

Ariizumi, H.

Aviad, Y.

Bar-Lev, D.

D. Bar-Lev and J. Scheuer, “Enhanced key-establishing rates and efficiencies in fiber laser key distribution systems,” Phys. Lett. A 373(46), 4287–4296 (2009).
[Crossref]

Böhm, F.

F. Böhm, A. Zakharova, E. Schöll, and K. Lüdge, “Amplitude-phase coupling drives chimera states in globally coupled laser networks,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 91(4), 040901 (2015).
[Crossref] [PubMed]

Bourmpos, M.

Brunner, D.

Buldú, J. M.

J. M. Buldú, J. García-Ojalvo, and M. C. Torrent, “Multimode synchronization and communication using unidirectionally coupled semiconductor lasers,” IEEE J. Quantum Electron. 40(6), 640–650 (2004).
[Crossref]

Butkovski, M.

Cohen, A. B.

B. Ravoori, A. B. Cohen, J. Sun, A. E. Motter, T. E. Murphy, and R. Roy, “Robustness of optimal synchronization in real networks,” Phys. Rev. Lett. 107(3), 034102 (2011).
[Crossref] [PubMed]

Colet, P.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref] [PubMed]

Davidson, N.

M. Nixon, M. Fridman, E. Ronen, A. A. Friesem, N. Davidson, and I. Kanter, “Controlling Synchronization in Large Laser Networks,” Phys. Rev. Lett. 108(21), 214101 (2012).
[Crossref] [PubMed]

Davis, P.

T. Ito, H. Koizumi, N. Suzuki, I. Kakesu, K. Iwakawa, A. Uchida, T. Koshiba, J. Muramatsu, K. Yoshimura, M. Inubushi, and P. Davis, “Physical implementation of oblivious transfer using optical correlated randomness,” Sci. Rep. 7(1), 8444 (2017).
[Crossref] [PubMed]

J. Muramatsu, K. Yoshimura, P. Davis, A. Uchida, and T. Harayama, “Secret-key distribution based on bounded observability,” Proc. IEEE 103(10), 1762–1780 (2015).
[Crossref]

H. Koizumi, S. Morikatsu, H. Aida, T. Nozawa, I. Kakesu, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Information-theoretic secure key distribution based on common random-signal induced synchronization in unidirectionally-coupled cascades of semiconductor lasers,” Opt. Express 21(15), 17869–17893 (2013).
[Crossref] [PubMed]

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express 20(11), 11813–11829 (2012).
[Crossref] [PubMed]

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett. 108(7), 070602 (2012).
[Crossref] [PubMed]

J. Muramatsu, K. Yoshimura, and P. Davis, “Information theoretic security based on bounded observability,” Lect. Notes Comput. Sci. 5973, 128–139 (2010).
[Crossref]

S. Goto, P. Davis, K. Yoshimura, and A. Uchida, “Synchronization of chaotic semiconductor lasers by optical injection with random phase modulation,” Opt. Quantum Electron. 41(3), 137–149 (2009).
[Crossref]

I. Oowada, H. Ariizumi, M. Li, S. Yoshimori, A. Uchida, K. Yoshimura, and P. Davis, “Synchronization by injection of common chaotic signal in semiconductor lasers with optical feedback,” Opt. Express 17(12), 10025–10034 (2009).
[Crossref] [PubMed]

K. Yoshimura, J. Muramatsu, and P. Davis, “Conditions for common-noise-induced synchronization in time delay systems,” Physica D 237(23), 3146–3152 (2008).
[Crossref]

K. Yoshimura, I. Valiusaityte, and P. Davis, “Synchronization induced by common colored noise in limit cycle and chaotic systems,” Phys. Rev. E 75(2), 026208 (2007).
[Crossref] [PubMed]

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express 15(7), 3974–3980 (2007).
[Crossref] [PubMed]

A. Uchida, P. Davis, and S. Itaya, “Generation of information theoretic secure keys using a chaotic semiconductor laser,” Appl. Phys. Lett. 83(15), 3213–3215 (2003).
[Crossref]

A. Uchida, Y. Liu, I. Fischer, P. Davis, and T. Aida, “Chaotic antiphase dynamics and synchronization in multimode semiconductor lasers,” Phys. Rev. A 64(2), 023801 (2001).
[Crossref]

K. Yoshimura, J. Muramatsu, A. Uchida, and P. Davis, “Spectral characteristics of consistency of a single-mode semiconductor laser injected with broadband random light,” in Proc. 2014 International Symposium on Nonlinear Theory and Its Applications (NOLTA2014) (2014), pp. 545–548.

Fischer, I.

X. Porte, M. C. Soriano, D. Brunner, and I. Fischer, “Bidirectional private key exchange using delay-coupled semiconductor lasers,” Opt. Lett. 41(12), 2871–2874 (2016).
[Crossref] [PubMed]

J. Tiana-Alsina, K. Hicke, X. Porte, M. C. Soriano, M. C. Torrent, J. García-Ojalvo, and I. Fischer, “Zero-lag synchronization and bubbling in delay-coupled lasers,” Phys. Rev. E 85(2), 026209 (2012).
[Crossref] [PubMed]

R. Vicente, C. R. Mirasso, and I. Fischer, “Simultaneous bidirectional message transmission in a chaos-based communication scheme,” Opt. Lett. 32(4), 403–405 (2007).
[Crossref] [PubMed]

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref] [PubMed]

A. Uchida, Y. Liu, I. Fischer, P. Davis, and T. Aida, “Chaotic antiphase dynamics and synchronization in multimode semiconductor lasers,” Phys. Rev. A 64(2), 023801 (2001).
[Crossref]

Fontaine, N. K.

N. K. Fontaine, R. P. Scott, L. Zhou, F. M. Soares, J. P. Heritage, and S. J. B. Yoo, “Real-time full-field arbitrary optical waveform measurement,” Nat. Photonics 4(4), 248–254 (2010).
[Crossref]

Fridman, M.

M. Nixon, M. Fridman, E. Ronen, A. A. Friesem, N. Davidson, and I. Kanter, “Controlling Synchronization in Large Laser Networks,” Phys. Rev. Lett. 108(21), 214101 (2012).
[Crossref] [PubMed]

Friesem, A. A.

M. Nixon, M. Fridman, E. Ronen, A. A. Friesem, N. Davidson, and I. Kanter, “Controlling Synchronization in Large Laser Networks,” Phys. Rev. Lett. 108(21), 214101 (2012).
[Crossref] [PubMed]

García-Ojalvo, J.

J. Tiana-Alsina, K. Hicke, X. Porte, M. C. Soriano, M. C. Torrent, J. García-Ojalvo, and I. Fischer, “Zero-lag synchronization and bubbling in delay-coupled lasers,” Phys. Rev. E 85(2), 026209 (2012).
[Crossref] [PubMed]

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref] [PubMed]

J. M. Buldú, J. García-Ojalvo, and M. C. Torrent, “Multimode synchronization and communication using unidirectionally coupled semiconductor lasers,” IEEE J. Quantum Electron. 40(6), 640–650 (2004).
[Crossref]

Goedgebuer, J.-P.

J.-P. Goedgebuer, L. Larger, and H. Porte, “Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode,” Phys. Rev. Lett. 80(10), 2249–2252 (1998).
[Crossref]

Goto, S.

S. Goto, P. Davis, K. Yoshimura, and A. Uchida, “Synchronization of chaotic semiconductor lasers by optical injection with random phase modulation,” Opt. Quantum Electron. 41(3), 137–149 (2009).
[Crossref]

Goto, S. I.

Gross, N.

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E 74(4), 046201 (2006).
[Crossref] [PubMed]

Harayama, T.

J. Muramatsu, K. Yoshimura, P. Davis, A. Uchida, and T. Harayama, “Secret-key distribution based on bounded observability,” Proc. IEEE 103(10), 1762–1780 (2015).
[Crossref]

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett. 108(7), 070602 (2012).
[Crossref] [PubMed]

Heritage, J. P.

N. K. Fontaine, R. P. Scott, L. Zhou, F. M. Soares, J. P. Heritage, and S. J. B. Yoo, “Real-time full-field arbitrary optical waveform measurement,” Nat. Photonics 4(4), 248–254 (2010).
[Crossref]

Hernandez-Garcia, E.

R. Toral, C. R. Mirasso, E. Hernandez-Garcia, and O. Piro, “Analytical and numerical studies of noise-induced synchronization of chaotic systems,” Chaos 11(3), 665–673 (2001).
[Crossref] [PubMed]

Hicke, K.

J. Tiana-Alsina, K. Hicke, X. Porte, M. C. Soriano, M. C. Torrent, J. García-Ojalvo, and I. Fischer, “Zero-lag synchronization and bubbling in delay-coupled lasers,” Phys. Rev. E 85(2), 026209 (2012).
[Crossref] [PubMed]

Hida, T.

N. Suzuki, T. Hida, M. Tomiyama, A. Uchida, K. Yoshimura, K. Arai, and M. Inubushi, “Common-signal-induced synchronization in semiconductor lasers with broadband optical noise signal,” IEEE J. Select. Top. Quantum Electron. 23(6), 1800810 (2017).

Inubushi, M.

N. Suzuki, T. Hida, M. Tomiyama, A. Uchida, K. Yoshimura, K. Arai, and M. Inubushi, “Common-signal-induced synchronization in semiconductor lasers with broadband optical noise signal,” IEEE J. Select. Top. Quantum Electron. 23(6), 1800810 (2017).

T. Ito, H. Koizumi, N. Suzuki, I. Kakesu, K. Iwakawa, A. Uchida, T. Koshiba, J. Muramatsu, K. Yoshimura, M. Inubushi, and P. Davis, “Physical implementation of oblivious transfer using optical correlated randomness,” Sci. Rep. 7(1), 8444 (2017).
[Crossref] [PubMed]

T. Sasaki, I. Kakesu, Y. Mitsui, D. Rontani, A. Uchida, S. Sunada, K. Yoshimura, and M. Inubushi, “Common-signal-induced synchronization in photonic integrated circuits and its application to secure key distribution,” Opt. Express 25(21), 26029–26044 (2017).
[Crossref] [PubMed]

K. Yoshimura, M. Inubushi, and A. Uchida, “Principal frequency band of cascaded single-mode semiconductor lasers injected with broadband random light,” in Proc. 2015 International Symposium on Nonlinear Theory and Its Applications (NOLTA2015) (2015), pp. 257–260.

Itaya, S.

A. Uchida, P. Davis, and S. Itaya, “Generation of information theoretic secure keys using a chaotic semiconductor laser,” Appl. Phys. Lett. 83(15), 3213–3215 (2003).
[Crossref]

Ito, T.

T. Ito, H. Koizumi, N. Suzuki, I. Kakesu, K. Iwakawa, A. Uchida, T. Koshiba, J. Muramatsu, K. Yoshimura, M. Inubushi, and P. Davis, “Physical implementation of oblivious transfer using optical correlated randomness,” Sci. Rep. 7(1), 8444 (2017).
[Crossref] [PubMed]

Iwakawa, K.

T. Ito, H. Koizumi, N. Suzuki, I. Kakesu, K. Iwakawa, A. Uchida, T. Koshiba, J. Muramatsu, K. Yoshimura, M. Inubushi, and P. Davis, “Physical implementation of oblivious transfer using optical correlated randomness,” Sci. Rep. 7(1), 8444 (2017).
[Crossref] [PubMed]

Jiang, N.

Kakesu, I.

Kanter, I.

M. Nixon, M. Fridman, E. Ronen, A. A. Friesem, N. Davidson, and I. Kanter, “Controlling Synchronization in Large Laser Networks,” Phys. Rev. Lett. 108(21), 214101 (2012).
[Crossref] [PubMed]

I. Kanter, M. Butkovski, Y. Peleg, M. Zigzag, Y. Aviad, I. Reidler, M. Rosenbluh, and W. Kinzel, “Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography,” Opt. Express 18(17), 18292–18302 (2010).
[Crossref] [PubMed]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E 74(4), 046201 (2006).
[Crossref] [PubMed]

Kawamura, Y.

H. Nakao, K. Arai, and Y. Kawamura, “Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators,” Phys. Rev. Lett. 98(18), 184101 (2007).
[Crossref] [PubMed]

Khaykovich, L.

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E 74(4), 046201 (2006).
[Crossref] [PubMed]

Kinzel, W.

I. Kanter, M. Butkovski, Y. Peleg, M. Zigzag, Y. Aviad, I. Reidler, M. Rosenbluh, and W. Kinzel, “Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography,” Opt. Express 18(17), 18292–18302 (2010).
[Crossref] [PubMed]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E 74(4), 046201 (2006).
[Crossref] [PubMed]

Klein, E.

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E 74(4), 046201 (2006).
[Crossref] [PubMed]

Koizumi, H.

Kopelowitz, E.

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E 74(4), 046201 (2006).
[Crossref] [PubMed]

Koshiba, T.

T. Ito, H. Koizumi, N. Suzuki, I. Kakesu, K. Iwakawa, A. Uchida, T. Koshiba, J. Muramatsu, K. Yoshimura, M. Inubushi, and P. Davis, “Physical implementation of oblivious transfer using optical correlated randomness,” Sci. Rep. 7(1), 8444 (2017).
[Crossref] [PubMed]

Kurths, J.

C. Zhou and J. Kurths, “Noise-induced phase synchronization and synchronization transitions in chaotic oscillators,” Phys. Rev. Lett. 88(23), 230602 (2002).
[Crossref] [PubMed]

Larger, L.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref] [PubMed]

J.-P. Goedgebuer, L. Larger, and H. Porte, “Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode,” Phys. Rev. Lett. 80(10), 2249–2252 (1998).
[Crossref]

Li, M.

Liu, Y.

A. Uchida, Y. Liu, I. Fischer, P. Davis, and T. Aida, “Chaotic antiphase dynamics and synchronization in multimode semiconductor lasers,” Phys. Rev. A 64(2), 023801 (2001).
[Crossref]

Lüdge, K.

F. Böhm, A. Zakharova, E. Schöll, and K. Lüdge, “Amplitude-phase coupling drives chimera states in globally coupled laser networks,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 91(4), 040901 (2015).
[Crossref] [PubMed]

Lv, Y.

Mirasso, C. R.

R. Vicente, C. R. Mirasso, and I. Fischer, “Simultaneous bidirectional message transmission in a chaos-based communication scheme,” Opt. Lett. 32(4), 403–405 (2007).
[Crossref] [PubMed]

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref] [PubMed]

R. Toral, C. R. Mirasso, E. Hernandez-Garcia, and O. Piro, “Analytical and numerical studies of noise-induced synchronization of chaotic systems,” Chaos 11(3), 665–673 (2001).
[Crossref] [PubMed]

Mitsui, Y.

Morikatsu, S.

H. Koizumi, S. Morikatsu, H. Aida, T. Nozawa, I. Kakesu, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Information-theoretic secure key distribution based on common random-signal induced synchronization in unidirectionally-coupled cascades of semiconductor lasers,” Opt. Express 21(15), 17869–17893 (2013).
[Crossref] [PubMed]

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett. 108(7), 070602 (2012).
[Crossref] [PubMed]

Motter, A. E.

B. Ravoori, A. B. Cohen, J. Sun, A. E. Motter, T. E. Murphy, and R. Roy, “Robustness of optimal synchronization in real networks,” Phys. Rev. Lett. 107(3), 034102 (2011).
[Crossref] [PubMed]

Muramatsu, J.

T. Ito, H. Koizumi, N. Suzuki, I. Kakesu, K. Iwakawa, A. Uchida, T. Koshiba, J. Muramatsu, K. Yoshimura, M. Inubushi, and P. Davis, “Physical implementation of oblivious transfer using optical correlated randomness,” Sci. Rep. 7(1), 8444 (2017).
[Crossref] [PubMed]

J. Muramatsu, K. Yoshimura, P. Davis, A. Uchida, and T. Harayama, “Secret-key distribution based on bounded observability,” Proc. IEEE 103(10), 1762–1780 (2015).
[Crossref]

H. Koizumi, S. Morikatsu, H. Aida, T. Nozawa, I. Kakesu, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Information-theoretic secure key distribution based on common random-signal induced synchronization in unidirectionally-coupled cascades of semiconductor lasers,” Opt. Express 21(15), 17869–17893 (2013).
[Crossref] [PubMed]

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express 20(11), 11813–11829 (2012).
[Crossref] [PubMed]

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett. 108(7), 070602 (2012).
[Crossref] [PubMed]

J. Muramatsu, K. Yoshimura, and P. Davis, “Information theoretic security based on bounded observability,” Lect. Notes Comput. Sci. 5973, 128–139 (2010).
[Crossref]

K. Yoshimura, J. Muramatsu, and P. Davis, “Conditions for common-noise-induced synchronization in time delay systems,” Physica D 237(23), 3146–3152 (2008).
[Crossref]

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express 15(7), 3974–3980 (2007).
[Crossref] [PubMed]

K. Yoshimura, J. Muramatsu, A. Uchida, and P. Davis, “Spectral characteristics of consistency of a single-mode semiconductor laser injected with broadband random light,” in Proc. 2014 International Symposium on Nonlinear Theory and Its Applications (NOLTA2014) (2014), pp. 545–548.

Murphy, T. E.

B. Ravoori, A. B. Cohen, J. Sun, A. E. Motter, T. E. Murphy, and R. Roy, “Robustness of optimal synchronization in real networks,” Phys. Rev. Lett. 107(3), 034102 (2011).
[Crossref] [PubMed]

Nakao, H.

H. Nakao, K. Arai, and Y. Kawamura, “Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators,” Phys. Rev. Lett. 98(18), 184101 (2007).
[Crossref] [PubMed]

Nanbu, M.

J. Ohtsubo, R. Ozawa, and M. Nanbu, “Synchrony of small nonlinear networks in chaotic semiconductor lasers,” Jpn. J. Appl. Phys. 54(7), 072702 (2015).
[Crossref]

Nixon, M.

M. Nixon, M. Fridman, E. Ronen, A. A. Friesem, N. Davidson, and I. Kanter, “Controlling Synchronization in Large Laser Networks,” Phys. Rev. Lett. 108(21), 214101 (2012).
[Crossref] [PubMed]

Nozawa, T.

Ohtsubo, J.

J. Ohtsubo, R. Ozawa, and M. Nanbu, “Synchrony of small nonlinear networks in chaotic semiconductor lasers,” Jpn. J. Appl. Phys. 54(7), 072702 (2015).
[Crossref]

Okumura, H.

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett. 108(7), 070602 (2012).
[Crossref] [PubMed]

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express 20(11), 11813–11829 (2012).
[Crossref] [PubMed]

Oowada, I.

Ozawa, R.

J. Ohtsubo, R. Ozawa, and M. Nanbu, “Synchrony of small nonlinear networks in chaotic semiconductor lasers,” Jpn. J. Appl. Phys. 54(7), 072702 (2015).
[Crossref]

Peleg, Y.

Pesquera, L.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref] [PubMed]

Piro, O.

R. Toral, C. R. Mirasso, E. Hernandez-Garcia, and O. Piro, “Analytical and numerical studies of noise-induced synchronization of chaotic systems,” Chaos 11(3), 665–673 (2001).
[Crossref] [PubMed]

Porte, H.

J.-P. Goedgebuer, L. Larger, and H. Porte, “Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode,” Phys. Rev. Lett. 80(10), 2249–2252 (1998).
[Crossref]

Porte, X.

X. Porte, M. C. Soriano, D. Brunner, and I. Fischer, “Bidirectional private key exchange using delay-coupled semiconductor lasers,” Opt. Lett. 41(12), 2871–2874 (2016).
[Crossref] [PubMed]

J. Tiana-Alsina, K. Hicke, X. Porte, M. C. Soriano, M. C. Torrent, J. García-Ojalvo, and I. Fischer, “Zero-lag synchronization and bubbling in delay-coupled lasers,” Phys. Rev. E 85(2), 026209 (2012).
[Crossref] [PubMed]

Qiu, K.

Ravoori, B.

B. Ravoori, A. B. Cohen, J. Sun, A. E. Motter, T. E. Murphy, and R. Roy, “Robustness of optimal synchronization in real networks,” Phys. Rev. Lett. 107(3), 034102 (2011).
[Crossref] [PubMed]

Reidler, I.

Ronen, E.

M. Nixon, M. Fridman, E. Ronen, A. A. Friesem, N. Davidson, and I. Kanter, “Controlling Synchronization in Large Laser Networks,” Phys. Rev. Lett. 108(21), 214101 (2012).
[Crossref] [PubMed]

Rontani, D.

Rosenbluh, M.

I. Kanter, M. Butkovski, Y. Peleg, M. Zigzag, Y. Aviad, I. Reidler, M. Rosenbluh, and W. Kinzel, “Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography,” Opt. Express 18(17), 18292–18302 (2010).
[Crossref] [PubMed]

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E 74(4), 046201 (2006).
[Crossref] [PubMed]

Roy, R.

B. Ravoori, A. B. Cohen, J. Sun, A. E. Motter, T. E. Murphy, and R. Roy, “Robustness of optimal synchronization in real networks,” Phys. Rev. Lett. 107(3), 034102 (2011).
[Crossref] [PubMed]

G. D. VanWiggeren and R. Roy, “Communication with chaotic lasers,” Science 279(5354), 1198–1200 (1998).
[Crossref] [PubMed]

Sasaki, T.

Scheuer, J.

D. Bar-Lev and J. Scheuer, “Enhanced key-establishing rates and efficiencies in fiber laser key distribution systems,” Phys. Lett. A 373(46), 4287–4296 (2009).
[Crossref]

A. Zadok, J. Scheuer, J. Sendowski, and A. Yariv, “Secure key generation using an ultra-long fiber laser: transient analysis and experiment,” Opt. Express 16(21), 16680–16690 (2008).
[Crossref] [PubMed]

J. Scheuer and A. Yariv, “Giant fiber lasers: A new paradigm for secure key distribution,” Phys. Rev. Lett. 97(14), 140502 (2006).
[Crossref] [PubMed]

Schöll, E.

F. Böhm, A. Zakharova, E. Schöll, and K. Lüdge, “Amplitude-phase coupling drives chimera states in globally coupled laser networks,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 91(4), 040901 (2015).
[Crossref] [PubMed]

Scott, R. P.

N. K. Fontaine, R. P. Scott, L. Zhou, F. M. Soares, J. P. Heritage, and S. J. B. Yoo, “Real-time full-field arbitrary optical waveform measurement,” Nat. Photonics 4(4), 248–254 (2010).
[Crossref]

Sendowski, J.

Shore, K. A.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref] [PubMed]

Soares, F. M.

N. K. Fontaine, R. P. Scott, L. Zhou, F. M. Soares, J. P. Heritage, and S. J. B. Yoo, “Real-time full-field arbitrary optical waveform measurement,” Nat. Photonics 4(4), 248–254 (2010).
[Crossref]

Soriano, M. C.

X. Porte, M. C. Soriano, D. Brunner, and I. Fischer, “Bidirectional private key exchange using delay-coupled semiconductor lasers,” Opt. Lett. 41(12), 2871–2874 (2016).
[Crossref] [PubMed]

J. Tiana-Alsina, K. Hicke, X. Porte, M. C. Soriano, M. C. Torrent, J. García-Ojalvo, and I. Fischer, “Zero-lag synchronization and bubbling in delay-coupled lasers,” Phys. Rev. E 85(2), 026209 (2012).
[Crossref] [PubMed]

Sun, J.

B. Ravoori, A. B. Cohen, J. Sun, A. E. Motter, T. E. Murphy, and R. Roy, “Robustness of optimal synchronization in real networks,” Phys. Rev. Lett. 107(3), 034102 (2011).
[Crossref] [PubMed]

Sunada, S.

T. Sasaki, I. Kakesu, Y. Mitsui, D. Rontani, A. Uchida, S. Sunada, K. Yoshimura, and M. Inubushi, “Common-signal-induced synchronization in photonic integrated circuits and its application to secure key distribution,” Opt. Express 25(21), 26029–26044 (2017).
[Crossref] [PubMed]

S. Sunada, K. Arai, K. Yoshimura, and M. Adachi, “Optical phase synchronization by injection of common broadband low-coherent light,” Phys. Rev. Lett. 112(20), 204101 (2014).
[Crossref]

K. Arai, K. Yoshimura, S. Sunada, and A. Uchida, “Synchronization induced by common ASE noise in semiconductor lasers,” in Proc. 2014 International Symposium on Nonlinear Theory and Its Applications (NOLTA2014) (2014), pp. 472–477.

Suzuki, N.

N. Suzuki, T. Hida, M. Tomiyama, A. Uchida, K. Yoshimura, K. Arai, and M. Inubushi, “Common-signal-induced synchronization in semiconductor lasers with broadband optical noise signal,” IEEE J. Select. Top. Quantum Electron. 23(6), 1800810 (2017).

T. Ito, H. Koizumi, N. Suzuki, I. Kakesu, K. Iwakawa, A. Uchida, T. Koshiba, J. Muramatsu, K. Yoshimura, M. Inubushi, and P. Davis, “Physical implementation of oblivious transfer using optical correlated randomness,” Sci. Rep. 7(1), 8444 (2017).
[Crossref] [PubMed]

Syvridis, D.

A. Argyris, M. Bourmpos, and D. Syvridis, “Experimental synchrony of semiconductor lasers in coupled networks,” Opt. Express 24(5), 5600–5614 (2016).
[Crossref] [PubMed]

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref] [PubMed]

Tanaka, D.

J. N. Teramae and D. Tanaka, “Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators,” Phys. Rev. Lett. 93(20), 204103 (2004).
[Crossref] [PubMed]

Teramae, J. N.

J. N. Teramae and D. Tanaka, “Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators,” Phys. Rev. Lett. 93(20), 204103 (2004).
[Crossref] [PubMed]

Tiana-Alsina, J.

J. Tiana-Alsina, K. Hicke, X. Porte, M. C. Soriano, M. C. Torrent, J. García-Ojalvo, and I. Fischer, “Zero-lag synchronization and bubbling in delay-coupled lasers,” Phys. Rev. E 85(2), 026209 (2012).
[Crossref] [PubMed]

Tomiyama, M.

N. Suzuki, T. Hida, M. Tomiyama, A. Uchida, K. Yoshimura, K. Arai, and M. Inubushi, “Common-signal-induced synchronization in semiconductor lasers with broadband optical noise signal,” IEEE J. Select. Top. Quantum Electron. 23(6), 1800810 (2017).

Toral, R.

R. Toral, C. R. Mirasso, E. Hernandez-Garcia, and O. Piro, “Analytical and numerical studies of noise-induced synchronization of chaotic systems,” Chaos 11(3), 665–673 (2001).
[Crossref] [PubMed]

Torrent, M. C.

J. Tiana-Alsina, K. Hicke, X. Porte, M. C. Soriano, M. C. Torrent, J. García-Ojalvo, and I. Fischer, “Zero-lag synchronization and bubbling in delay-coupled lasers,” Phys. Rev. E 85(2), 026209 (2012).
[Crossref] [PubMed]

J. M. Buldú, J. García-Ojalvo, and M. C. Torrent, “Multimode synchronization and communication using unidirectionally coupled semiconductor lasers,” IEEE J. Quantum Electron. 40(6), 640–650 (2004).
[Crossref]

Uchida, A.

N. Suzuki, T. Hida, M. Tomiyama, A. Uchida, K. Yoshimura, K. Arai, and M. Inubushi, “Common-signal-induced synchronization in semiconductor lasers with broadband optical noise signal,” IEEE J. Select. Top. Quantum Electron. 23(6), 1800810 (2017).

T. Ito, H. Koizumi, N. Suzuki, I. Kakesu, K. Iwakawa, A. Uchida, T. Koshiba, J. Muramatsu, K. Yoshimura, M. Inubushi, and P. Davis, “Physical implementation of oblivious transfer using optical correlated randomness,” Sci. Rep. 7(1), 8444 (2017).
[Crossref] [PubMed]

T. Sasaki, I. Kakesu, Y. Mitsui, D. Rontani, A. Uchida, S. Sunada, K. Yoshimura, and M. Inubushi, “Common-signal-induced synchronization in photonic integrated circuits and its application to secure key distribution,” Opt. Express 25(21), 26029–26044 (2017).
[Crossref] [PubMed]

J. Muramatsu, K. Yoshimura, P. Davis, A. Uchida, and T. Harayama, “Secret-key distribution based on bounded observability,” Proc. IEEE 103(10), 1762–1780 (2015).
[Crossref]

H. Koizumi, S. Morikatsu, H. Aida, T. Nozawa, I. Kakesu, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Information-theoretic secure key distribution based on common random-signal induced synchronization in unidirectionally-coupled cascades of semiconductor lasers,” Opt. Express 21(15), 17869–17893 (2013).
[Crossref] [PubMed]

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express 20(11), 11813–11829 (2012).
[Crossref] [PubMed]

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett. 108(7), 070602 (2012).
[Crossref] [PubMed]

S. Goto, P. Davis, K. Yoshimura, and A. Uchida, “Synchronization of chaotic semiconductor lasers by optical injection with random phase modulation,” Opt. Quantum Electron. 41(3), 137–149 (2009).
[Crossref]

I. Oowada, H. Ariizumi, M. Li, S. Yoshimori, A. Uchida, K. Yoshimura, and P. Davis, “Synchronization by injection of common chaotic signal in semiconductor lasers with optical feedback,” Opt. Express 17(12), 10025–10034 (2009).
[Crossref] [PubMed]

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express 15(7), 3974–3980 (2007).
[Crossref] [PubMed]

A. Uchida, P. Davis, and S. Itaya, “Generation of information theoretic secure keys using a chaotic semiconductor laser,” Appl. Phys. Lett. 83(15), 3213–3215 (2003).
[Crossref]

A. Uchida, Y. Liu, I. Fischer, P. Davis, and T. Aida, “Chaotic antiphase dynamics and synchronization in multimode semiconductor lasers,” Phys. Rev. A 64(2), 023801 (2001).
[Crossref]

K. Yoshimura, M. Inubushi, and A. Uchida, “Principal frequency band of cascaded single-mode semiconductor lasers injected with broadband random light,” in Proc. 2015 International Symposium on Nonlinear Theory and Its Applications (NOLTA2015) (2015), pp. 257–260.

K. Arai, K. Yoshimura, S. Sunada, and A. Uchida, “Synchronization induced by common ASE noise in semiconductor lasers,” in Proc. 2014 International Symposium on Nonlinear Theory and Its Applications (NOLTA2014) (2014), pp. 472–477.

K. Yoshimura, J. Muramatsu, A. Uchida, and P. Davis, “Spectral characteristics of consistency of a single-mode semiconductor laser injected with broadband random light,” in Proc. 2014 International Symposium on Nonlinear Theory and Its Applications (NOLTA2014) (2014), pp. 545–548.

Valiusaityte, I.

K. Yoshimura, I. Valiusaityte, and P. Davis, “Synchronization induced by common colored noise in limit cycle and chaotic systems,” Phys. Rev. E 75(2), 026208 (2007).
[Crossref] [PubMed]

VanWiggeren, G. D.

G. D. VanWiggeren and R. Roy, “Communication with chaotic lasers,” Science 279(5354), 1198–1200 (1998).
[Crossref] [PubMed]

Vicente, R.

Xue, C.

Yamamoto, T.

Yariv, A.

Yip, H.

Yoo, S. J. B.

N. K. Fontaine, R. P. Scott, L. Zhou, F. M. Soares, J. P. Heritage, and S. J. B. Yoo, “Real-time full-field arbitrary optical waveform measurement,” Nat. Photonics 4(4), 248–254 (2010).
[Crossref]

Yoshimori, S.

Yoshimura, K.

T. Sasaki, I. Kakesu, Y. Mitsui, D. Rontani, A. Uchida, S. Sunada, K. Yoshimura, and M. Inubushi, “Common-signal-induced synchronization in photonic integrated circuits and its application to secure key distribution,” Opt. Express 25(21), 26029–26044 (2017).
[Crossref] [PubMed]

T. Ito, H. Koizumi, N. Suzuki, I. Kakesu, K. Iwakawa, A. Uchida, T. Koshiba, J. Muramatsu, K. Yoshimura, M. Inubushi, and P. Davis, “Physical implementation of oblivious transfer using optical correlated randomness,” Sci. Rep. 7(1), 8444 (2017).
[Crossref] [PubMed]

N. Suzuki, T. Hida, M. Tomiyama, A. Uchida, K. Yoshimura, K. Arai, and M. Inubushi, “Common-signal-induced synchronization in semiconductor lasers with broadband optical noise signal,” IEEE J. Select. Top. Quantum Electron. 23(6), 1800810 (2017).

J. Muramatsu, K. Yoshimura, P. Davis, A. Uchida, and T. Harayama, “Secret-key distribution based on bounded observability,” Proc. IEEE 103(10), 1762–1780 (2015).
[Crossref]

S. Sunada, K. Arai, K. Yoshimura, and M. Adachi, “Optical phase synchronization by injection of common broadband low-coherent light,” Phys. Rev. Lett. 112(20), 204101 (2014).
[Crossref]

H. Koizumi, S. Morikatsu, H. Aida, T. Nozawa, I. Kakesu, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Information-theoretic secure key distribution based on common random-signal induced synchronization in unidirectionally-coupled cascades of semiconductor lasers,” Opt. Express 21(15), 17869–17893 (2013).
[Crossref] [PubMed]

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express 20(11), 11813–11829 (2012).
[Crossref] [PubMed]

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett. 108(7), 070602 (2012).
[Crossref] [PubMed]

J. Muramatsu, K. Yoshimura, and P. Davis, “Information theoretic security based on bounded observability,” Lect. Notes Comput. Sci. 5973, 128–139 (2010).
[Crossref]

S. Goto, P. Davis, K. Yoshimura, and A. Uchida, “Synchronization of chaotic semiconductor lasers by optical injection with random phase modulation,” Opt. Quantum Electron. 41(3), 137–149 (2009).
[Crossref]

I. Oowada, H. Ariizumi, M. Li, S. Yoshimori, A. Uchida, K. Yoshimura, and P. Davis, “Synchronization by injection of common chaotic signal in semiconductor lasers with optical feedback,” Opt. Express 17(12), 10025–10034 (2009).
[Crossref] [PubMed]

K. Yoshimura, J. Muramatsu, and P. Davis, “Conditions for common-noise-induced synchronization in time delay systems,” Physica D 237(23), 3146–3152 (2008).
[Crossref]

K. Yoshimura, I. Valiusaityte, and P. Davis, “Synchronization induced by common colored noise in limit cycle and chaotic systems,” Phys. Rev. E 75(2), 026208 (2007).
[Crossref] [PubMed]

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express 15(7), 3974–3980 (2007).
[Crossref] [PubMed]

K. Arai, K. Yoshimura, S. Sunada, and A. Uchida, “Synchronization induced by common ASE noise in semiconductor lasers,” in Proc. 2014 International Symposium on Nonlinear Theory and Its Applications (NOLTA2014) (2014), pp. 472–477.

K. Yoshimura, J. Muramatsu, A. Uchida, and P. Davis, “Spectral characteristics of consistency of a single-mode semiconductor laser injected with broadband random light,” in Proc. 2014 International Symposium on Nonlinear Theory and Its Applications (NOLTA2014) (2014), pp. 545–548.

K. Yoshimura, M. Inubushi, and A. Uchida, “Principal frequency band of cascaded single-mode semiconductor lasers injected with broadband random light,” in Proc. 2015 International Symposium on Nonlinear Theory and Its Applications (NOLTA2015) (2015), pp. 257–260.

Zadok, A.

Zakharova, A.

F. Böhm, A. Zakharova, E. Schöll, and K. Lüdge, “Amplitude-phase coupling drives chimera states in globally coupled laser networks,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 91(4), 040901 (2015).
[Crossref] [PubMed]

Zhou, C.

C. Zhou and J. Kurths, “Noise-induced phase synchronization and synchronization transitions in chaotic oscillators,” Phys. Rev. Lett. 88(23), 230602 (2002).
[Crossref] [PubMed]

Zhou, L.

N. K. Fontaine, R. P. Scott, L. Zhou, F. M. Soares, J. P. Heritage, and S. J. B. Yoo, “Real-time full-field arbitrary optical waveform measurement,” Nat. Photonics 4(4), 248–254 (2010).
[Crossref]

Zigzag, M.

Appl. Phys. Lett. (1)

A. Uchida, P. Davis, and S. Itaya, “Generation of information theoretic secure keys using a chaotic semiconductor laser,” Appl. Phys. Lett. 83(15), 3213–3215 (2003).
[Crossref]

Chaos (1)

R. Toral, C. R. Mirasso, E. Hernandez-Garcia, and O. Piro, “Analytical and numerical studies of noise-induced synchronization of chaotic systems,” Chaos 11(3), 665–673 (2001).
[Crossref] [PubMed]

IEEE J. Quantum Electron. (1)

J. M. Buldú, J. García-Ojalvo, and M. C. Torrent, “Multimode synchronization and communication using unidirectionally coupled semiconductor lasers,” IEEE J. Quantum Electron. 40(6), 640–650 (2004).
[Crossref]

IEEE J. Select. Top. Quantum Electron. (1)

N. Suzuki, T. Hida, M. Tomiyama, A. Uchida, K. Yoshimura, K. Arai, and M. Inubushi, “Common-signal-induced synchronization in semiconductor lasers with broadband optical noise signal,” IEEE J. Select. Top. Quantum Electron. 23(6), 1800810 (2017).

Jpn. J. Appl. Phys. (1)

J. Ohtsubo, R. Ozawa, and M. Nanbu, “Synchrony of small nonlinear networks in chaotic semiconductor lasers,” Jpn. J. Appl. Phys. 54(7), 072702 (2015).
[Crossref]

Lect. Notes Comput. Sci. (1)

J. Muramatsu, K. Yoshimura, and P. Davis, “Information theoretic security based on bounded observability,” Lect. Notes Comput. Sci. 5973, 128–139 (2010).
[Crossref]

Nat. Photonics (1)

N. K. Fontaine, R. P. Scott, L. Zhou, F. M. Soares, J. P. Heritage, and S. J. B. Yoo, “Real-time full-field arbitrary optical waveform measurement,” Nat. Photonics 4(4), 248–254 (2010).
[Crossref]

Nature (1)

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. García-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, “Chaos-based communications at high bit rates using commercial fibre-optic links,” Nature 438(7066), 343–346 (2005).
[Crossref] [PubMed]

Opt. Express (9)

T. Yamamoto, I. Oowada, H. Yip, A. Uchida, S. Yoshimori, K. Yoshimura, J. Muramatsu, S. I. Goto, and P. Davis, “Common-chaotic-signal induced synchronization in semiconductor lasers,” Opt. Express 15(7), 3974–3980 (2007).
[Crossref] [PubMed]

A. Zadok, J. Scheuer, J. Sendowski, and A. Yariv, “Secure key generation using an ultra-long fiber laser: transient analysis and experiment,” Opt. Express 16(21), 16680–16690 (2008).
[Crossref] [PubMed]

I. Oowada, H. Ariizumi, M. Li, S. Yoshimori, A. Uchida, K. Yoshimura, and P. Davis, “Synchronization by injection of common chaotic signal in semiconductor lasers with optical feedback,” Opt. Express 17(12), 10025–10034 (2009).
[Crossref] [PubMed]

I. Kanter, M. Butkovski, Y. Peleg, M. Zigzag, Y. Aviad, I. Reidler, M. Rosenbluh, and W. Kinzel, “Synchronization of random bit generators based on coupled chaotic lasers and application to cryptography,” Opt. Express 18(17), 18292–18302 (2010).
[Crossref] [PubMed]

H. Aida, M. Arahata, H. Okumura, H. Koizumi, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Experiment on synchronization of semiconductor lasers by common injection of constant-amplitude random-phase light,” Opt. Express 20(11), 11813–11829 (2012).
[Crossref] [PubMed]

H. Koizumi, S. Morikatsu, H. Aida, T. Nozawa, I. Kakesu, A. Uchida, K. Yoshimura, J. Muramatsu, and P. Davis, “Information-theoretic secure key distribution based on common random-signal induced synchronization in unidirectionally-coupled cascades of semiconductor lasers,” Opt. Express 21(15), 17869–17893 (2013).
[Crossref] [PubMed]

C. Xue, N. Jiang, K. Qiu, and Y. Lv, “Key distribution based on synchronization in bandwidth-enhanced random bit generators with dynamic post-processing,” Opt. Express 23(11), 14510–14519 (2015).
[Crossref] [PubMed]

A. Argyris, M. Bourmpos, and D. Syvridis, “Experimental synchrony of semiconductor lasers in coupled networks,” Opt. Express 24(5), 5600–5614 (2016).
[Crossref] [PubMed]

T. Sasaki, I. Kakesu, Y. Mitsui, D. Rontani, A. Uchida, S. Sunada, K. Yoshimura, and M. Inubushi, “Common-signal-induced synchronization in photonic integrated circuits and its application to secure key distribution,” Opt. Express 25(21), 26029–26044 (2017).
[Crossref] [PubMed]

Opt. Lett. (2)

Opt. Quantum Electron. (1)

S. Goto, P. Davis, K. Yoshimura, and A. Uchida, “Synchronization of chaotic semiconductor lasers by optical injection with random phase modulation,” Opt. Quantum Electron. 41(3), 137–149 (2009).
[Crossref]

Phys. Lett. A (1)

D. Bar-Lev and J. Scheuer, “Enhanced key-establishing rates and efficiencies in fiber laser key distribution systems,” Phys. Lett. A 373(46), 4287–4296 (2009).
[Crossref]

Phys. Rev. A (1)

A. Uchida, Y. Liu, I. Fischer, P. Davis, and T. Aida, “Chaotic antiphase dynamics and synchronization in multimode semiconductor lasers,” Phys. Rev. A 64(2), 023801 (2001).
[Crossref]

Phys. Rev. E (3)

E. Klein, N. Gross, E. Kopelowitz, M. Rosenbluh, L. Khaykovich, W. Kinzel, and I. Kanter, “Public-channel cryptography based on mutual chaos pass filters,” Phys. Rev. E 74(4), 046201 (2006).
[Crossref] [PubMed]

K. Yoshimura, I. Valiusaityte, and P. Davis, “Synchronization induced by common colored noise in limit cycle and chaotic systems,” Phys. Rev. E 75(2), 026208 (2007).
[Crossref] [PubMed]

J. Tiana-Alsina, K. Hicke, X. Porte, M. C. Soriano, M. C. Torrent, J. García-Ojalvo, and I. Fischer, “Zero-lag synchronization and bubbling in delay-coupled lasers,” Phys. Rev. E 85(2), 026209 (2012).
[Crossref] [PubMed]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (1)

F. Böhm, A. Zakharova, E. Schöll, and K. Lüdge, “Amplitude-phase coupling drives chimera states in globally coupled laser networks,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 91(4), 040901 (2015).
[Crossref] [PubMed]

Phys. Rev. Lett. (9)

S. Sunada, K. Arai, K. Yoshimura, and M. Adachi, “Optical phase synchronization by injection of common broadband low-coherent light,” Phys. Rev. Lett. 112(20), 204101 (2014).
[Crossref]

K. Yoshimura, J. Muramatsu, P. Davis, T. Harayama, H. Okumura, S. Morikatsu, H. Aida, and A. Uchida, “Secure key distribution using correlated randomness in lasers driven by common random light,” Phys. Rev. Lett. 108(7), 070602 (2012).
[Crossref] [PubMed]

B. Ravoori, A. B. Cohen, J. Sun, A. E. Motter, T. E. Murphy, and R. Roy, “Robustness of optimal synchronization in real networks,” Phys. Rev. Lett. 107(3), 034102 (2011).
[Crossref] [PubMed]

M. Nixon, M. Fridman, E. Ronen, A. A. Friesem, N. Davidson, and I. Kanter, “Controlling Synchronization in Large Laser Networks,” Phys. Rev. Lett. 108(21), 214101 (2012).
[Crossref] [PubMed]

C. Zhou and J. Kurths, “Noise-induced phase synchronization and synchronization transitions in chaotic oscillators,” Phys. Rev. Lett. 88(23), 230602 (2002).
[Crossref] [PubMed]

J. N. Teramae and D. Tanaka, “Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators,” Phys. Rev. Lett. 93(20), 204103 (2004).
[Crossref] [PubMed]

H. Nakao, K. Arai, and Y. Kawamura, “Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators,” Phys. Rev. Lett. 98(18), 184101 (2007).
[Crossref] [PubMed]

J. Scheuer and A. Yariv, “Giant fiber lasers: A new paradigm for secure key distribution,” Phys. Rev. Lett. 97(14), 140502 (2006).
[Crossref] [PubMed]

J.-P. Goedgebuer, L. Larger, and H. Porte, “Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode,” Phys. Rev. Lett. 80(10), 2249–2252 (1998).
[Crossref]

Physica D (1)

K. Yoshimura, J. Muramatsu, and P. Davis, “Conditions for common-noise-induced synchronization in time delay systems,” Physica D 237(23), 3146–3152 (2008).
[Crossref]

Proc. IEEE (1)

J. Muramatsu, K. Yoshimura, P. Davis, A. Uchida, and T. Harayama, “Secret-key distribution based on bounded observability,” Proc. IEEE 103(10), 1762–1780 (2015).
[Crossref]

Sci. Rep. (1)

T. Ito, H. Koizumi, N. Suzuki, I. Kakesu, K. Iwakawa, A. Uchida, T. Koshiba, J. Muramatsu, K. Yoshimura, M. Inubushi, and P. Davis, “Physical implementation of oblivious transfer using optical correlated randomness,” Sci. Rep. 7(1), 8444 (2017).
[Crossref] [PubMed]

Science (1)

G. D. VanWiggeren and R. Roy, “Communication with chaotic lasers,” Science 279(5354), 1198–1200 (1998).
[Crossref] [PubMed]

Other (5)

A. Uchida, Optical Communication with Chaotic Lasers, Applications of Nonlinear Dynamics and Synchronization (Wiley-VCH, 2012).

J. Ohtsubo, Semiconductor Lasers, Stability, Instability and Chaos, 4th ed. (Springer-Verlag, 2017).

K. Arai, K. Yoshimura, S. Sunada, and A. Uchida, “Synchronization induced by common ASE noise in semiconductor lasers,” in Proc. 2014 International Symposium on Nonlinear Theory and Its Applications (NOLTA2014) (2014), pp. 472–477.

K. Yoshimura, J. Muramatsu, A. Uchida, and P. Davis, “Spectral characteristics of consistency of a single-mode semiconductor laser injected with broadband random light,” in Proc. 2014 International Symposium on Nonlinear Theory and Its Applications (NOLTA2014) (2014), pp. 545–548.

K. Yoshimura, M. Inubushi, and A. Uchida, “Principal frequency band of cascaded single-mode semiconductor lasers injected with broadband random light,” in Proc. 2015 International Symposium on Nonlinear Theory and Its Applications (NOLTA2015) (2015), pp. 257–260.

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Figures (12)

Fig. 1
Fig. 1 Experimental setup for common-signal-induced synchronization subject to a bandwidth-limited optical noise signal. Amp, electronic amplifier; ATT, optical attenuator; EDFA, erbium-doped fiber amplifier; FC, fiber coupler; Filter, variable wavelength filter; ISO, optical isolator; PC, polarization controller; PD, photodetector; SLD, super-luminescent diode.
Fig. 2
Fig. 2 Optical spectra of the noise drive signal and the two response laser outputs when the noise drive signal is filtered out with a bandwidth of 14.4 nm. By injecting the noise drive signal, 50 longitudinal modes are excited in the two response lasers. (a), (b) Matching condition of peak wavelengths. (c), (d) Mismatching condition of peak wavelengths. (b), (d) Enlarged views of (a) and (c).
Fig. 3
Fig. 3 (a), (c) Temporal waveforms of the two response laser outputs and (b), (d) their correlation plots when the peak wavelengths of the two response lasers are (a), (b) matched and (c), (d) mismatched.
Fig. 4
Fig. 4 RF spectra of response lasers 1 and 2 when the peak wavelengths of the two response lasers are (a) matched and (b) mismatched.
Fig. 5
Fig. 5 (a) Temporal waveforms of the drive-injection signal and the response 1 laser output and (b) its correlation plot.
Fig. 6
Fig. 6 Cross-correlation values between the two response laser outputs when the numbers of longitudinal modes of the two response lasers are changed simultaneously. (a) Optical injection power varies as the bandwidth of the noise drive signal is changed. (b) Optical injection power is fixed for different numbers of modes by adjusting the gain of the EDFAs as the bandwidths of the noise drive signals are changed simultaneously.
Fig. 7
Fig. 7 Cross-correlation values between the two response lasers as the injection powers of the noise drive signals for the two response lasers are changed simultaneously under the wavelength-matching condition. The ratio of the injection power between the two response lasers is maintained. Only the injection power for the response 1 laser is plotted on the horizontal axis.
Fig. 8
Fig. 8 Optical spectra of the response 1 and 2 lasers when the three peak wavelengths are matched and shifted. (a) All the three peak wavelengths are matched. (b) Two of the three peak wavelengths are matched.
Fig. 9
Fig. 9 Cross-correlation values when the peak wavelengths are changed continuously for the case of (a) three longitudinal modes and (b) 50, six, three, and one longitudinal mode. The curve for the three modes in (a) is replotted in (b) for comparison. The injection power is changed as the bandwidths of the noise drive signals (the numbers of modes in the response lasers) are changed.
Fig. 10
Fig. 10 Cross-correlation values as the number of longitudinal modes for only the response 2 laser is changed, with that of the response 1 laser fixed at 50 modes. The correlation values for 50 modes differ from those in Figs. 3(b) and 3(d) owing to the different injection power.
Fig. 11
Fig. 11 (a), (c) Optical spectra and (b), (d) correlation plots between the response 1 and 2 lasers. (a), (b) Comparison between the outputs of the 50-mode response 1 laser and the three-mode response 2 laser. (c), (d) Comparison between the output of the three-mode response 1 laser selected from 50 modes obtained using the wavelength filter and the output of the three-mode response 2 laser.
Fig. 12
Fig. 12 Cross-correlation values obtained when the eavesdropper changes the bandwidth of the wavelength filter for the noise drive signal and changes the number of longitudinal modes in the laser of the eavesdropper to reproduce the outputs of the lasers of the legitimate users by using synchronization (the blue line). The correlation values between the two legitimate users (the red dotted line) and between the noise drive signal and the legitimate users (the green line) are also shown. The correlation value between the two legitimate users is constant because the number of modes in the laser of the eavesdropper is changed.

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