Abstract

We investigate the sensitivity of the angular rotation measurement with the method of homodyne detection in SU(2) and SU(1,1) interferometers by employing orbital angular momentum (OAM). By combining a coherent beam with a vacuum beam in an SU(2) interferometer, we get the sensitivity of the angular rotation measurement as 12Nl. We can surpass the limit of the angular rotation measurement in an SU(1,1) interferometer by combining a coherent beam with a vacuum beam or a squeezed vacuum beam when the probe beam has OAM. Without injection, the sensitivity can reach 12Nl. In addition, by employing another construction of an SU(1,1) interferometer where the pump beam has OAM, with the same injection of an SU(1,1) interferometer, the sensitivity of the angular rotation measurement can be improved by a factor of 2, reaching 14Nl. The results confirm the potential of this technology for precision measurements in angular rotation measurements.

© 2017 Chinese Laser Press

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References

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  1. A. A. Michelson and E. W. Morley, “On the relative motion of the earth and of the luminiferous ether,” Am. J. Sci. 34, 333–345 (1887).
    [Crossref]
  2. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, 1997).
  3. H. Lee, P. Kok, and J. P. Dowling, “A quantum Rosetta stone for interferometry,” J. Mod. Opt. 49, 2325–2338 (2002).
    [Crossref]
  4. C. M. Caves, “Quantum-mechanical noise in an interferometer,” Phys. Rev. D 23, 1693–1708 (1981).
    [Crossref]
  5. M. Xiao, L. A. Wu, and H. J. Kimble, “Precision measurement beyond the shot-noise limit,” Phys. Rev. Lett. 59, 278–281 (1987).
    [Crossref]
  6. A. Luis, “Squeezed coherent states as feasible approximations to phase-optimized states,” Phys. Lett. A 354, 71–78 (2006).
    [Crossref]
  7. K. McKenzie, D. A. Shaddock, D. E. McCelland, B. C. Buchler, and P. K. Lam, “Experimental demonstration of a squeezing-enhanced power-recycled Michelson interferometer for gravitational wave detection,” Phys. Rev. Lett. 88, 231102 (2002).
    [Crossref]
  8. W. E. Althouse and M. E. Zucker, “The Laser Interferometer Gravitational-Wave Observatory,” Science 256, 325–333 (1992).
    [Crossref]
  9. B. P. Abbott, R. Abbott, R. Adhikari, P. Ajith, B. Allen, G. Allen, and M. Araya, “LIGO: the Laser Interferometer Gravitational-Wave Observatory,” Rep. Prog. Phys. 72, 076901 (2009).
    [Crossref]
  10. B. Yurke, S. L. McCall, and J. R. Klauder, “SU(2) and SU(1,1) interferometers,” Phys. Rev. A 33, 4033–4054 (1986).
    [Crossref]
  11. Z. Y. Ou, “Enhancement of the phase-measurement sensitivity beyond the standard quantum limit by a nonlinear interferometer,” Phys. Rev. A 85, 023815 (2012).
    [Crossref]
  12. A. M. Marino, N. V. Corzo Trejo, and P. D. Lett, “Effect of losses on the performance of an SU(1,1) interferometer,” Phys. Rev. A 86, 023844 (2012).
    [Crossref]
  13. J. T. Jing, C. J. Liu, Z. F. Zhou, Z. Y. Ou, and W. Zhang, “Realization of a nonlinear interferometer with parametric amplifiers,” Appl. Phys. Lett. 99, 011110 (2011).
    [Crossref]
  14. J. Kong, Z. Y. Ou, and W. P. Zhang, “Phase-measurement sensitivity beyond the standard quantum limit in an interferometer consisting of a parametric amplifier and a beam splitter,” Phys. Rev. A 87, 023825 (2013).
    [Crossref]
  15. Y. Gao, “Quantum optical metrology in the lossy SU(2) and SU(1,1) interferometers,” Phys. Rev. A 94, 023834 (2016).
    [Crossref]
  16. C. Sparaciari, S. Olivares, and M. G. A. Paris, “Gaussian-state interferometry with passive and active elements,” Phys. Rev. A 93, 023810 (2016).
    [Crossref]
  17. W. N. Plick, P. M. Anisimov, J. P. Dowling, H. Lee, and G. S. Agarwal, “Parity detection in quantum optical metrology without number-resolving detectors,” New J. Phys. 12, 113025 (2010).
    [Crossref]
  18. P. M. Anisimov, G. M. Raterman, A. Chiruvelli, W. N. Plick, S. D. Huver, H. Lee, and J. P. Dowling, “Quantum metrology with two-mode squeezed vacuum: parity detection beats the Heisenberg limit,” Phys. Rev. Lett. 104, 103602 (2010).
    [Crossref]
  19. W. N. Plick, J. P. Dowling, and G. S. Agarwal, “Coherent-light-boosted, sub-shot noise, quantum interferometry,” New J. Phys. 12, 083014 (2010).
    [Crossref]
  20. H. Yonezawa, T. Aoki, and A. Furusawa, “Demonstration of a quantum teleportation network for continuous variables,” Nature 431, 430–433 (2004).
    [Crossref]
  21. V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, “Photonic polarization gears for ultra-sensitive angular measurements,” Nat. Commun. 4, 2432 (2013).
    [Crossref]
  22. S. L. Braunstein and P. Van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77, 513–577 (2005).
    [Crossref]
  23. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
    [Crossref]
  24. J. Courtial, K. Dholakia, D. A. Robertson, L. Allen, and M. J. Padgett, “Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum,” Phys. Rev. Lett. 80, 3217–3219 (1998).
    [Crossref]
  25. J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. W. Boyd, A. K. Jha, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express 17, 8287–8293 (2009).
    [Crossref]
  26. V. D’Ambrosio, F. Cardano, E. Karimi, E. Nagali, E. Santamato, L. Marrucci, and F. Sciarrino, “Test of mutually unbiased bases for six-dimensional photonic quantum systems,” Sci. Rep. 3, 2726 (2013).
    [Crossref]
  27. W. Li, H. Hu, and N. K. Dutta, “High speed all-optical encryption and decryption using quantum dot semiconductor optical amplifiers,” J. Mod. Opt. 60, 1741–1749 (2013).
    [Crossref]
  28. A. Vaziri, J. W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of higher dimensional entanglement: qutrits of photon orbital angular momentum,” Phys. Rev. Lett. 91, 227902 (2003).
    [Crossref]
  29. A. K. Jha, G. S. Agarwal, and R. W. Boyd, “Supersensitive measurement of angular displacements using entangled photons,” Phys. Rev. A 83, 053829 (2011).
    [Crossref]
  30. Z. J. Zhang, T. Y. Qiao, K. Ma, J. D. Zhang, L. Z. Cen, F. Wang, and Y. Zhao, “Super-resolving angular rotation measurement using binary-outcome homodyne detection,” Opt. Express 24, 18477–18484 (2016).
    [Crossref]
  31. Z. J. Zhang, T. Y. Qiao, K. Ma, L. Z. Cen, J. D. Zhang, F. Wang, and Y. Zhao, “Ultra-sensitive and super-resolving angular rotation measurement based on photon orbital angular momentum using parity measurement,” Opt. Lett. 41, 3856–3859 (2016).
    [Crossref]
  32. A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
    [Crossref]

2016 (4)

2013 (4)

J. Kong, Z. Y. Ou, and W. P. Zhang, “Phase-measurement sensitivity beyond the standard quantum limit in an interferometer consisting of a parametric amplifier and a beam splitter,” Phys. Rev. A 87, 023825 (2013).
[Crossref]

V. D’Ambrosio, F. Cardano, E. Karimi, E. Nagali, E. Santamato, L. Marrucci, and F. Sciarrino, “Test of mutually unbiased bases for six-dimensional photonic quantum systems,” Sci. Rep. 3, 2726 (2013).
[Crossref]

W. Li, H. Hu, and N. K. Dutta, “High speed all-optical encryption and decryption using quantum dot semiconductor optical amplifiers,” J. Mod. Opt. 60, 1741–1749 (2013).
[Crossref]

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, “Photonic polarization gears for ultra-sensitive angular measurements,” Nat. Commun. 4, 2432 (2013).
[Crossref]

2012 (2)

Z. Y. Ou, “Enhancement of the phase-measurement sensitivity beyond the standard quantum limit by a nonlinear interferometer,” Phys. Rev. A 85, 023815 (2012).
[Crossref]

A. M. Marino, N. V. Corzo Trejo, and P. D. Lett, “Effect of losses on the performance of an SU(1,1) interferometer,” Phys. Rev. A 86, 023844 (2012).
[Crossref]

2011 (2)

J. T. Jing, C. J. Liu, Z. F. Zhou, Z. Y. Ou, and W. Zhang, “Realization of a nonlinear interferometer with parametric amplifiers,” Appl. Phys. Lett. 99, 011110 (2011).
[Crossref]

A. K. Jha, G. S. Agarwal, and R. W. Boyd, “Supersensitive measurement of angular displacements using entangled photons,” Phys. Rev. A 83, 053829 (2011).
[Crossref]

2010 (3)

W. N. Plick, P. M. Anisimov, J. P. Dowling, H. Lee, and G. S. Agarwal, “Parity detection in quantum optical metrology without number-resolving detectors,” New J. Phys. 12, 113025 (2010).
[Crossref]

P. M. Anisimov, G. M. Raterman, A. Chiruvelli, W. N. Plick, S. D. Huver, H. Lee, and J. P. Dowling, “Quantum metrology with two-mode squeezed vacuum: parity detection beats the Heisenberg limit,” Phys. Rev. Lett. 104, 103602 (2010).
[Crossref]

W. N. Plick, J. P. Dowling, and G. S. Agarwal, “Coherent-light-boosted, sub-shot noise, quantum interferometry,” New J. Phys. 12, 083014 (2010).
[Crossref]

2009 (2)

B. P. Abbott, R. Abbott, R. Adhikari, P. Ajith, B. Allen, G. Allen, and M. Araya, “LIGO: the Laser Interferometer Gravitational-Wave Observatory,” Rep. Prog. Phys. 72, 076901 (2009).
[Crossref]

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. W. Boyd, A. K. Jha, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express 17, 8287–8293 (2009).
[Crossref]

2008 (1)

A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
[Crossref]

2006 (1)

A. Luis, “Squeezed coherent states as feasible approximations to phase-optimized states,” Phys. Lett. A 354, 71–78 (2006).
[Crossref]

2005 (1)

S. L. Braunstein and P. Van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77, 513–577 (2005).
[Crossref]

2004 (1)

H. Yonezawa, T. Aoki, and A. Furusawa, “Demonstration of a quantum teleportation network for continuous variables,” Nature 431, 430–433 (2004).
[Crossref]

2003 (1)

A. Vaziri, J. W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of higher dimensional entanglement: qutrits of photon orbital angular momentum,” Phys. Rev. Lett. 91, 227902 (2003).
[Crossref]

2002 (2)

K. McKenzie, D. A. Shaddock, D. E. McCelland, B. C. Buchler, and P. K. Lam, “Experimental demonstration of a squeezing-enhanced power-recycled Michelson interferometer for gravitational wave detection,” Phys. Rev. Lett. 88, 231102 (2002).
[Crossref]

H. Lee, P. Kok, and J. P. Dowling, “A quantum Rosetta stone for interferometry,” J. Mod. Opt. 49, 2325–2338 (2002).
[Crossref]

1998 (1)

J. Courtial, K. Dholakia, D. A. Robertson, L. Allen, and M. J. Padgett, “Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum,” Phys. Rev. Lett. 80, 3217–3219 (1998).
[Crossref]

1992 (2)

W. E. Althouse and M. E. Zucker, “The Laser Interferometer Gravitational-Wave Observatory,” Science 256, 325–333 (1992).
[Crossref]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[Crossref]

1987 (1)

M. Xiao, L. A. Wu, and H. J. Kimble, “Precision measurement beyond the shot-noise limit,” Phys. Rev. Lett. 59, 278–281 (1987).
[Crossref]

1986 (1)

B. Yurke, S. L. McCall, and J. R. Klauder, “SU(2) and SU(1,1) interferometers,” Phys. Rev. A 33, 4033–4054 (1986).
[Crossref]

1981 (1)

C. M. Caves, “Quantum-mechanical noise in an interferometer,” Phys. Rev. D 23, 1693–1708 (1981).
[Crossref]

1887 (1)

A. A. Michelson and E. W. Morley, “On the relative motion of the earth and of the luminiferous ether,” Am. J. Sci. 34, 333–345 (1887).
[Crossref]

Abbott, B. P.

B. P. Abbott, R. Abbott, R. Adhikari, P. Ajith, B. Allen, G. Allen, and M. Araya, “LIGO: the Laser Interferometer Gravitational-Wave Observatory,” Rep. Prog. Phys. 72, 076901 (2009).
[Crossref]

Abbott, R.

B. P. Abbott, R. Abbott, R. Adhikari, P. Ajith, B. Allen, G. Allen, and M. Araya, “LIGO: the Laser Interferometer Gravitational-Wave Observatory,” Rep. Prog. Phys. 72, 076901 (2009).
[Crossref]

Adhikari, R.

B. P. Abbott, R. Abbott, R. Adhikari, P. Ajith, B. Allen, G. Allen, and M. Araya, “LIGO: the Laser Interferometer Gravitational-Wave Observatory,” Rep. Prog. Phys. 72, 076901 (2009).
[Crossref]

Agarwal, G. S.

A. K. Jha, G. S. Agarwal, and R. W. Boyd, “Supersensitive measurement of angular displacements using entangled photons,” Phys. Rev. A 83, 053829 (2011).
[Crossref]

W. N. Plick, P. M. Anisimov, J. P. Dowling, H. Lee, and G. S. Agarwal, “Parity detection in quantum optical metrology without number-resolving detectors,” New J. Phys. 12, 113025 (2010).
[Crossref]

W. N. Plick, J. P. Dowling, and G. S. Agarwal, “Coherent-light-boosted, sub-shot noise, quantum interferometry,” New J. Phys. 12, 083014 (2010).
[Crossref]

Ajith, P.

B. P. Abbott, R. Abbott, R. Adhikari, P. Ajith, B. Allen, G. Allen, and M. Araya, “LIGO: the Laser Interferometer Gravitational-Wave Observatory,” Rep. Prog. Phys. 72, 076901 (2009).
[Crossref]

Allen, B.

B. P. Abbott, R. Abbott, R. Adhikari, P. Ajith, B. Allen, G. Allen, and M. Araya, “LIGO: the Laser Interferometer Gravitational-Wave Observatory,” Rep. Prog. Phys. 72, 076901 (2009).
[Crossref]

Allen, G.

B. P. Abbott, R. Abbott, R. Adhikari, P. Ajith, B. Allen, G. Allen, and M. Araya, “LIGO: the Laser Interferometer Gravitational-Wave Observatory,” Rep. Prog. Phys. 72, 076901 (2009).
[Crossref]

Allen, L.

J. Courtial, K. Dholakia, D. A. Robertson, L. Allen, and M. J. Padgett, “Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum,” Phys. Rev. Lett. 80, 3217–3219 (1998).
[Crossref]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[Crossref]

Althouse, W. E.

W. E. Althouse and M. E. Zucker, “The Laser Interferometer Gravitational-Wave Observatory,” Science 256, 325–333 (1992).
[Crossref]

Anisimov, P. M.

P. M. Anisimov, G. M. Raterman, A. Chiruvelli, W. N. Plick, S. D. Huver, H. Lee, and J. P. Dowling, “Quantum metrology with two-mode squeezed vacuum: parity detection beats the Heisenberg limit,” Phys. Rev. Lett. 104, 103602 (2010).
[Crossref]

W. N. Plick, P. M. Anisimov, J. P. Dowling, H. Lee, and G. S. Agarwal, “Parity detection in quantum optical metrology without number-resolving detectors,” New J. Phys. 12, 113025 (2010).
[Crossref]

Aoki, T.

H. Yonezawa, T. Aoki, and A. Furusawa, “Demonstration of a quantum teleportation network for continuous variables,” Nature 431, 430–433 (2004).
[Crossref]

Aolita, L.

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, “Photonic polarization gears for ultra-sensitive angular measurements,” Nat. Commun. 4, 2432 (2013).
[Crossref]

Araya, M.

B. P. Abbott, R. Abbott, R. Adhikari, P. Ajith, B. Allen, G. Allen, and M. Araya, “LIGO: the Laser Interferometer Gravitational-Wave Observatory,” Rep. Prog. Phys. 72, 076901 (2009).
[Crossref]

Barnett, S. M.

Beijersbergen, M. W.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[Crossref]

Boyd, R. W.

Boyer, V.

A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
[Crossref]

Braunstein, S. L.

S. L. Braunstein and P. Van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77, 513–577 (2005).
[Crossref]

Buchler, B. C.

K. McKenzie, D. A. Shaddock, D. E. McCelland, B. C. Buchler, and P. K. Lam, “Experimental demonstration of a squeezing-enhanced power-recycled Michelson interferometer for gravitational wave detection,” Phys. Rev. Lett. 88, 231102 (2002).
[Crossref]

Cardano, F.

V. D’Ambrosio, F. Cardano, E. Karimi, E. Nagali, E. Santamato, L. Marrucci, and F. Sciarrino, “Test of mutually unbiased bases for six-dimensional photonic quantum systems,” Sci. Rep. 3, 2726 (2013).
[Crossref]

Caves, C. M.

C. M. Caves, “Quantum-mechanical noise in an interferometer,” Phys. Rev. D 23, 1693–1708 (1981).
[Crossref]

Cen, L. Z.

Chiruvelli, A.

P. M. Anisimov, G. M. Raterman, A. Chiruvelli, W. N. Plick, S. D. Huver, H. Lee, and J. P. Dowling, “Quantum metrology with two-mode squeezed vacuum: parity detection beats the Heisenberg limit,” Phys. Rev. Lett. 104, 103602 (2010).
[Crossref]

Corzo Trejo, N. V.

A. M. Marino, N. V. Corzo Trejo, and P. D. Lett, “Effect of losses on the performance of an SU(1,1) interferometer,” Phys. Rev. A 86, 023844 (2012).
[Crossref]

Courtial, J.

J. Courtial, K. Dholakia, D. A. Robertson, L. Allen, and M. J. Padgett, “Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum,” Phys. Rev. Lett. 80, 3217–3219 (1998).
[Crossref]

D’Ambrosio, V.

V. D’Ambrosio, F. Cardano, E. Karimi, E. Nagali, E. Santamato, L. Marrucci, and F. Sciarrino, “Test of mutually unbiased bases for six-dimensional photonic quantum systems,” Sci. Rep. 3, 2726 (2013).
[Crossref]

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, “Photonic polarization gears for ultra-sensitive angular measurements,” Nat. Commun. 4, 2432 (2013).
[Crossref]

Del Re, L.

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, “Photonic polarization gears for ultra-sensitive angular measurements,” Nat. Commun. 4, 2432 (2013).
[Crossref]

Dholakia, K.

J. Courtial, K. Dholakia, D. A. Robertson, L. Allen, and M. J. Padgett, “Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum,” Phys. Rev. Lett. 80, 3217–3219 (1998).
[Crossref]

Dowling, J. P.

W. N. Plick, J. P. Dowling, and G. S. Agarwal, “Coherent-light-boosted, sub-shot noise, quantum interferometry,” New J. Phys. 12, 083014 (2010).
[Crossref]

P. M. Anisimov, G. M. Raterman, A. Chiruvelli, W. N. Plick, S. D. Huver, H. Lee, and J. P. Dowling, “Quantum metrology with two-mode squeezed vacuum: parity detection beats the Heisenberg limit,” Phys. Rev. Lett. 104, 103602 (2010).
[Crossref]

W. N. Plick, P. M. Anisimov, J. P. Dowling, H. Lee, and G. S. Agarwal, “Parity detection in quantum optical metrology without number-resolving detectors,” New J. Phys. 12, 113025 (2010).
[Crossref]

H. Lee, P. Kok, and J. P. Dowling, “A quantum Rosetta stone for interferometry,” J. Mod. Opt. 49, 2325–2338 (2002).
[Crossref]

Dutta, N. K.

W. Li, H. Hu, and N. K. Dutta, “High speed all-optical encryption and decryption using quantum dot semiconductor optical amplifiers,” J. Mod. Opt. 60, 1741–1749 (2013).
[Crossref]

Franke-Arnold, S.

Furusawa, A.

H. Yonezawa, T. Aoki, and A. Furusawa, “Demonstration of a quantum teleportation network for continuous variables,” Nature 431, 430–433 (2004).
[Crossref]

Gao, Y.

Y. Gao, “Quantum optical metrology in the lossy SU(2) and SU(1,1) interferometers,” Phys. Rev. A 94, 023834 (2016).
[Crossref]

Hu, H.

W. Li, H. Hu, and N. K. Dutta, “High speed all-optical encryption and decryption using quantum dot semiconductor optical amplifiers,” J. Mod. Opt. 60, 1741–1749 (2013).
[Crossref]

Huver, S. D.

P. M. Anisimov, G. M. Raterman, A. Chiruvelli, W. N. Plick, S. D. Huver, H. Lee, and J. P. Dowling, “Quantum metrology with two-mode squeezed vacuum: parity detection beats the Heisenberg limit,” Phys. Rev. Lett. 104, 103602 (2010).
[Crossref]

Jack, B.

Jennewein, T.

A. Vaziri, J. W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of higher dimensional entanglement: qutrits of photon orbital angular momentum,” Phys. Rev. Lett. 91, 227902 (2003).
[Crossref]

Jha, A. K.

Jing, J. T.

J. T. Jing, C. J. Liu, Z. F. Zhou, Z. Y. Ou, and W. Zhang, “Realization of a nonlinear interferometer with parametric amplifiers,” Appl. Phys. Lett. 99, 011110 (2011).
[Crossref]

Jones, K. M.

A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
[Crossref]

Karimi, E.

V. D’Ambrosio, F. Cardano, E. Karimi, E. Nagali, E. Santamato, L. Marrucci, and F. Sciarrino, “Test of mutually unbiased bases for six-dimensional photonic quantum systems,” Sci. Rep. 3, 2726 (2013).
[Crossref]

Kimble, H. J.

M. Xiao, L. A. Wu, and H. J. Kimble, “Precision measurement beyond the shot-noise limit,” Phys. Rev. Lett. 59, 278–281 (1987).
[Crossref]

Klauder, J. R.

B. Yurke, S. L. McCall, and J. R. Klauder, “SU(2) and SU(1,1) interferometers,” Phys. Rev. A 33, 4033–4054 (1986).
[Crossref]

Kok, P.

H. Lee, P. Kok, and J. P. Dowling, “A quantum Rosetta stone for interferometry,” J. Mod. Opt. 49, 2325–2338 (2002).
[Crossref]

Kong, J.

J. Kong, Z. Y. Ou, and W. P. Zhang, “Phase-measurement sensitivity beyond the standard quantum limit in an interferometer consisting of a parametric amplifier and a beam splitter,” Phys. Rev. A 87, 023825 (2013).
[Crossref]

Kwek, L. C.

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, “Photonic polarization gears for ultra-sensitive angular measurements,” Nat. Commun. 4, 2432 (2013).
[Crossref]

Lam, P. K.

K. McKenzie, D. A. Shaddock, D. E. McCelland, B. C. Buchler, and P. K. Lam, “Experimental demonstration of a squeezing-enhanced power-recycled Michelson interferometer for gravitational wave detection,” Phys. Rev. Lett. 88, 231102 (2002).
[Crossref]

Leach, J.

Lee, H.

P. M. Anisimov, G. M. Raterman, A. Chiruvelli, W. N. Plick, S. D. Huver, H. Lee, and J. P. Dowling, “Quantum metrology with two-mode squeezed vacuum: parity detection beats the Heisenberg limit,” Phys. Rev. Lett. 104, 103602 (2010).
[Crossref]

W. N. Plick, P. M. Anisimov, J. P. Dowling, H. Lee, and G. S. Agarwal, “Parity detection in quantum optical metrology without number-resolving detectors,” New J. Phys. 12, 113025 (2010).
[Crossref]

H. Lee, P. Kok, and J. P. Dowling, “A quantum Rosetta stone for interferometry,” J. Mod. Opt. 49, 2325–2338 (2002).
[Crossref]

Lemons, K.

A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
[Crossref]

Lett, P. D.

A. M. Marino, N. V. Corzo Trejo, and P. D. Lett, “Effect of losses on the performance of an SU(1,1) interferometer,” Phys. Rev. A 86, 023844 (2012).
[Crossref]

A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
[Crossref]

Li, W.

W. Li, H. Hu, and N. K. Dutta, “High speed all-optical encryption and decryption using quantum dot semiconductor optical amplifiers,” J. Mod. Opt. 60, 1741–1749 (2013).
[Crossref]

Li, Y.

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, “Photonic polarization gears for ultra-sensitive angular measurements,” Nat. Commun. 4, 2432 (2013).
[Crossref]

Liu, C. J.

J. T. Jing, C. J. Liu, Z. F. Zhou, Z. Y. Ou, and W. Zhang, “Realization of a nonlinear interferometer with parametric amplifiers,” Appl. Phys. Lett. 99, 011110 (2011).
[Crossref]

Luis, A.

A. Luis, “Squeezed coherent states as feasible approximations to phase-optimized states,” Phys. Lett. A 354, 71–78 (2006).
[Crossref]

Ma, K.

Marino, A. M.

A. M. Marino, N. V. Corzo Trejo, and P. D. Lett, “Effect of losses on the performance of an SU(1,1) interferometer,” Phys. Rev. A 86, 023844 (2012).
[Crossref]

A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
[Crossref]

Marrucci, L.

V. D’Ambrosio, F. Cardano, E. Karimi, E. Nagali, E. Santamato, L. Marrucci, and F. Sciarrino, “Test of mutually unbiased bases for six-dimensional photonic quantum systems,” Sci. Rep. 3, 2726 (2013).
[Crossref]

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, “Photonic polarization gears for ultra-sensitive angular measurements,” Nat. Commun. 4, 2432 (2013).
[Crossref]

McCall, S. L.

B. Yurke, S. L. McCall, and J. R. Klauder, “SU(2) and SU(1,1) interferometers,” Phys. Rev. A 33, 4033–4054 (1986).
[Crossref]

McCelland, D. E.

K. McKenzie, D. A. Shaddock, D. E. McCelland, B. C. Buchler, and P. K. Lam, “Experimental demonstration of a squeezing-enhanced power-recycled Michelson interferometer for gravitational wave detection,” Phys. Rev. Lett. 88, 231102 (2002).
[Crossref]

McKenzie, K.

K. McKenzie, D. A. Shaddock, D. E. McCelland, B. C. Buchler, and P. K. Lam, “Experimental demonstration of a squeezing-enhanced power-recycled Michelson interferometer for gravitational wave detection,” Phys. Rev. Lett. 88, 231102 (2002).
[Crossref]

Michelson, A. A.

A. A. Michelson and E. W. Morley, “On the relative motion of the earth and of the luminiferous ether,” Am. J. Sci. 34, 333–345 (1887).
[Crossref]

Morley, E. W.

A. A. Michelson and E. W. Morley, “On the relative motion of the earth and of the luminiferous ether,” Am. J. Sci. 34, 333–345 (1887).
[Crossref]

Nagali, E.

V. D’Ambrosio, F. Cardano, E. Karimi, E. Nagali, E. Santamato, L. Marrucci, and F. Sciarrino, “Test of mutually unbiased bases for six-dimensional photonic quantum systems,” Sci. Rep. 3, 2726 (2013).
[Crossref]

Olivares, S.

C. Sparaciari, S. Olivares, and M. G. A. Paris, “Gaussian-state interferometry with passive and active elements,” Phys. Rev. A 93, 023810 (2016).
[Crossref]

Ou, Z. Y.

J. Kong, Z. Y. Ou, and W. P. Zhang, “Phase-measurement sensitivity beyond the standard quantum limit in an interferometer consisting of a parametric amplifier and a beam splitter,” Phys. Rev. A 87, 023825 (2013).
[Crossref]

Z. Y. Ou, “Enhancement of the phase-measurement sensitivity beyond the standard quantum limit by a nonlinear interferometer,” Phys. Rev. A 85, 023815 (2012).
[Crossref]

J. T. Jing, C. J. Liu, Z. F. Zhou, Z. Y. Ou, and W. Zhang, “Realization of a nonlinear interferometer with parametric amplifiers,” Appl. Phys. Lett. 99, 011110 (2011).
[Crossref]

Padgett, M. J.

J. Leach, B. Jack, J. Romero, M. Ritsch-Marte, R. W. Boyd, A. K. Jha, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, “Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces,” Opt. Express 17, 8287–8293 (2009).
[Crossref]

J. Courtial, K. Dholakia, D. A. Robertson, L. Allen, and M. J. Padgett, “Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum,” Phys. Rev. Lett. 80, 3217–3219 (1998).
[Crossref]

Pan, J. W.

A. Vaziri, J. W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of higher dimensional entanglement: qutrits of photon orbital angular momentum,” Phys. Rev. Lett. 91, 227902 (2003).
[Crossref]

Paris, M. G. A.

C. Sparaciari, S. Olivares, and M. G. A. Paris, “Gaussian-state interferometry with passive and active elements,” Phys. Rev. A 93, 023810 (2016).
[Crossref]

Plick, W. N.

W. N. Plick, P. M. Anisimov, J. P. Dowling, H. Lee, and G. S. Agarwal, “Parity detection in quantum optical metrology without number-resolving detectors,” New J. Phys. 12, 113025 (2010).
[Crossref]

P. M. Anisimov, G. M. Raterman, A. Chiruvelli, W. N. Plick, S. D. Huver, H. Lee, and J. P. Dowling, “Quantum metrology with two-mode squeezed vacuum: parity detection beats the Heisenberg limit,” Phys. Rev. Lett. 104, 103602 (2010).
[Crossref]

W. N. Plick, J. P. Dowling, and G. S. Agarwal, “Coherent-light-boosted, sub-shot noise, quantum interferometry,” New J. Phys. 12, 083014 (2010).
[Crossref]

Pooser, R. C.

A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
[Crossref]

Qiao, T. Y.

Raterman, G. M.

P. M. Anisimov, G. M. Raterman, A. Chiruvelli, W. N. Plick, S. D. Huver, H. Lee, and J. P. Dowling, “Quantum metrology with two-mode squeezed vacuum: parity detection beats the Heisenberg limit,” Phys. Rev. Lett. 104, 103602 (2010).
[Crossref]

Ritsch-Marte, M.

Robertson, D. A.

J. Courtial, K. Dholakia, D. A. Robertson, L. Allen, and M. J. Padgett, “Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum,” Phys. Rev. Lett. 80, 3217–3219 (1998).
[Crossref]

Romero, J.

Santamato, E.

V. D’Ambrosio, F. Cardano, E. Karimi, E. Nagali, E. Santamato, L. Marrucci, and F. Sciarrino, “Test of mutually unbiased bases for six-dimensional photonic quantum systems,” Sci. Rep. 3, 2726 (2013).
[Crossref]

Sciarrino, F.

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, “Photonic polarization gears for ultra-sensitive angular measurements,” Nat. Commun. 4, 2432 (2013).
[Crossref]

V. D’Ambrosio, F. Cardano, E. Karimi, E. Nagali, E. Santamato, L. Marrucci, and F. Sciarrino, “Test of mutually unbiased bases for six-dimensional photonic quantum systems,” Sci. Rep. 3, 2726 (2013).
[Crossref]

Scully, M. O.

M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, 1997).

Shaddock, D. A.

K. McKenzie, D. A. Shaddock, D. E. McCelland, B. C. Buchler, and P. K. Lam, “Experimental demonstration of a squeezing-enhanced power-recycled Michelson interferometer for gravitational wave detection,” Phys. Rev. Lett. 88, 231102 (2002).
[Crossref]

Slussarenko, S.

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, “Photonic polarization gears for ultra-sensitive angular measurements,” Nat. Commun. 4, 2432 (2013).
[Crossref]

Spagnolo, N.

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, “Photonic polarization gears for ultra-sensitive angular measurements,” Nat. Commun. 4, 2432 (2013).
[Crossref]

Sparaciari, C.

C. Sparaciari, S. Olivares, and M. G. A. Paris, “Gaussian-state interferometry with passive and active elements,” Phys. Rev. A 93, 023810 (2016).
[Crossref]

Spreeuw, R. J. C.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[Crossref]

Van Loock, P.

S. L. Braunstein and P. Van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77, 513–577 (2005).
[Crossref]

Vaziri, A.

A. Vaziri, J. W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of higher dimensional entanglement: qutrits of photon orbital angular momentum,” Phys. Rev. Lett. 91, 227902 (2003).
[Crossref]

Walborn, S. P.

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, “Photonic polarization gears for ultra-sensitive angular measurements,” Nat. Commun. 4, 2432 (2013).
[Crossref]

Wang, F.

Weihs, G.

A. Vaziri, J. W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of higher dimensional entanglement: qutrits of photon orbital angular momentum,” Phys. Rev. Lett. 91, 227902 (2003).
[Crossref]

Woerdman, J. P.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[Crossref]

Wu, L. A.

M. Xiao, L. A. Wu, and H. J. Kimble, “Precision measurement beyond the shot-noise limit,” Phys. Rev. Lett. 59, 278–281 (1987).
[Crossref]

Xiao, M.

M. Xiao, L. A. Wu, and H. J. Kimble, “Precision measurement beyond the shot-noise limit,” Phys. Rev. Lett. 59, 278–281 (1987).
[Crossref]

Yonezawa, H.

H. Yonezawa, T. Aoki, and A. Furusawa, “Demonstration of a quantum teleportation network for continuous variables,” Nature 431, 430–433 (2004).
[Crossref]

Yurke, B.

B. Yurke, S. L. McCall, and J. R. Klauder, “SU(2) and SU(1,1) interferometers,” Phys. Rev. A 33, 4033–4054 (1986).
[Crossref]

Zeilinger, A.

A. Vaziri, J. W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of higher dimensional entanglement: qutrits of photon orbital angular momentum,” Phys. Rev. Lett. 91, 227902 (2003).
[Crossref]

Zhang, J. D.

Zhang, W.

J. T. Jing, C. J. Liu, Z. F. Zhou, Z. Y. Ou, and W. Zhang, “Realization of a nonlinear interferometer with parametric amplifiers,” Appl. Phys. Lett. 99, 011110 (2011).
[Crossref]

Zhang, W. P.

J. Kong, Z. Y. Ou, and W. P. Zhang, “Phase-measurement sensitivity beyond the standard quantum limit in an interferometer consisting of a parametric amplifier and a beam splitter,” Phys. Rev. A 87, 023825 (2013).
[Crossref]

Zhang, Z. J.

Zhao, Y.

Zhou, Z. F.

J. T. Jing, C. J. Liu, Z. F. Zhou, Z. Y. Ou, and W. Zhang, “Realization of a nonlinear interferometer with parametric amplifiers,” Appl. Phys. Lett. 99, 011110 (2011).
[Crossref]

Zubairy, M. S.

M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, 1997).

Zucker, M. E.

W. E. Althouse and M. E. Zucker, “The Laser Interferometer Gravitational-Wave Observatory,” Science 256, 325–333 (1992).
[Crossref]

Am. J. Sci. (1)

A. A. Michelson and E. W. Morley, “On the relative motion of the earth and of the luminiferous ether,” Am. J. Sci. 34, 333–345 (1887).
[Crossref]

Appl. Phys. Lett. (1)

J. T. Jing, C. J. Liu, Z. F. Zhou, Z. Y. Ou, and W. Zhang, “Realization of a nonlinear interferometer with parametric amplifiers,” Appl. Phys. Lett. 99, 011110 (2011).
[Crossref]

J. Mod. Opt. (2)

H. Lee, P. Kok, and J. P. Dowling, “A quantum Rosetta stone for interferometry,” J. Mod. Opt. 49, 2325–2338 (2002).
[Crossref]

W. Li, H. Hu, and N. K. Dutta, “High speed all-optical encryption and decryption using quantum dot semiconductor optical amplifiers,” J. Mod. Opt. 60, 1741–1749 (2013).
[Crossref]

Nat. Commun. (1)

V. D’Ambrosio, N. Spagnolo, L. Del Re, S. Slussarenko, Y. Li, L. C. Kwek, L. Marrucci, S. P. Walborn, L. Aolita, and F. Sciarrino, “Photonic polarization gears for ultra-sensitive angular measurements,” Nat. Commun. 4, 2432 (2013).
[Crossref]

Nature (1)

H. Yonezawa, T. Aoki, and A. Furusawa, “Demonstration of a quantum teleportation network for continuous variables,” Nature 431, 430–433 (2004).
[Crossref]

New J. Phys. (2)

W. N. Plick, P. M. Anisimov, J. P. Dowling, H. Lee, and G. S. Agarwal, “Parity detection in quantum optical metrology without number-resolving detectors,” New J. Phys. 12, 113025 (2010).
[Crossref]

W. N. Plick, J. P. Dowling, and G. S. Agarwal, “Coherent-light-boosted, sub-shot noise, quantum interferometry,” New J. Phys. 12, 083014 (2010).
[Crossref]

Opt. Express (2)

Opt. Lett. (1)

Phys. Lett. A (1)

A. Luis, “Squeezed coherent states as feasible approximations to phase-optimized states,” Phys. Lett. A 354, 71–78 (2006).
[Crossref]

Phys. Rev. A (8)

B. Yurke, S. L. McCall, and J. R. Klauder, “SU(2) and SU(1,1) interferometers,” Phys. Rev. A 33, 4033–4054 (1986).
[Crossref]

Z. Y. Ou, “Enhancement of the phase-measurement sensitivity beyond the standard quantum limit by a nonlinear interferometer,” Phys. Rev. A 85, 023815 (2012).
[Crossref]

A. M. Marino, N. V. Corzo Trejo, and P. D. Lett, “Effect of losses on the performance of an SU(1,1) interferometer,” Phys. Rev. A 86, 023844 (2012).
[Crossref]

J. Kong, Z. Y. Ou, and W. P. Zhang, “Phase-measurement sensitivity beyond the standard quantum limit in an interferometer consisting of a parametric amplifier and a beam splitter,” Phys. Rev. A 87, 023825 (2013).
[Crossref]

Y. Gao, “Quantum optical metrology in the lossy SU(2) and SU(1,1) interferometers,” Phys. Rev. A 94, 023834 (2016).
[Crossref]

C. Sparaciari, S. Olivares, and M. G. A. Paris, “Gaussian-state interferometry with passive and active elements,” Phys. Rev. A 93, 023810 (2016).
[Crossref]

A. K. Jha, G. S. Agarwal, and R. W. Boyd, “Supersensitive measurement of angular displacements using entangled photons,” Phys. Rev. A 83, 053829 (2011).
[Crossref]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes,” Phys. Rev. A 45, 8185–8189 (1992).
[Crossref]

Phys. Rev. D (1)

C. M. Caves, “Quantum-mechanical noise in an interferometer,” Phys. Rev. D 23, 1693–1708 (1981).
[Crossref]

Phys. Rev. Lett. (6)

M. Xiao, L. A. Wu, and H. J. Kimble, “Precision measurement beyond the shot-noise limit,” Phys. Rev. Lett. 59, 278–281 (1987).
[Crossref]

K. McKenzie, D. A. Shaddock, D. E. McCelland, B. C. Buchler, and P. K. Lam, “Experimental demonstration of a squeezing-enhanced power-recycled Michelson interferometer for gravitational wave detection,” Phys. Rev. Lett. 88, 231102 (2002).
[Crossref]

P. M. Anisimov, G. M. Raterman, A. Chiruvelli, W. N. Plick, S. D. Huver, H. Lee, and J. P. Dowling, “Quantum metrology with two-mode squeezed vacuum: parity detection beats the Heisenberg limit,” Phys. Rev. Lett. 104, 103602 (2010).
[Crossref]

J. Courtial, K. Dholakia, D. A. Robertson, L. Allen, and M. J. Padgett, “Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum,” Phys. Rev. Lett. 80, 3217–3219 (1998).
[Crossref]

A. Vaziri, J. W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, “Concentration of higher dimensional entanglement: qutrits of photon orbital angular momentum,” Phys. Rev. Lett. 91, 227902 (2003).
[Crossref]

A. M. Marino, V. Boyer, R. C. Pooser, P. D. Lett, K. Lemons, and K. M. Jones, “Delocalized correlations in twin light beams with orbital angular momentum,” Phys. Rev. Lett. 101, 093602 (2008).
[Crossref]

Rep. Prog. Phys. (1)

B. P. Abbott, R. Abbott, R. Adhikari, P. Ajith, B. Allen, G. Allen, and M. Araya, “LIGO: the Laser Interferometer Gravitational-Wave Observatory,” Rep. Prog. Phys. 72, 076901 (2009).
[Crossref]

Rev. Mod. Phys. (1)

S. L. Braunstein and P. Van Loock, “Quantum information with continuous variables,” Rev. Mod. Phys. 77, 513–577 (2005).
[Crossref]

Sci. Rep. (1)

V. D’Ambrosio, F. Cardano, E. Karimi, E. Nagali, E. Santamato, L. Marrucci, and F. Sciarrino, “Test of mutually unbiased bases for six-dimensional photonic quantum systems,” Sci. Rep. 3, 2726 (2013).
[Crossref]

Science (1)

W. E. Althouse and M. E. Zucker, “The Laser Interferometer Gravitational-Wave Observatory,” Science 256, 325–333 (1992).
[Crossref]

Other (1)

M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, 1997).

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Figures (3)

Fig. 1.
Fig. 1. Scheme for the angular rotation measurement uses a coherent beam carrying OAM and a vacuum beam. The coherent beam comes from input-port a and has an OAM of l and is detected by the method of HD. M, mirror; DP, Dove prism; LO, local beam.
Fig. 2.
Fig. 2. SU(1,1) interferometer for the angular rotation measurement uses a coherent beam and a vacuum beam. The beam comes from input-port a carries an OAM of l. Note that two PA processes replace two BS compared with Fig. 1.
Fig. 3.
Fig. 3. SU(1,1) interferometer for the angular rotation measurement uses a coherent beam and a vacuum beam. The pump beam has an OAM of l, and the probe beam has no OAM.

Equations (44)

Equations on this page are rendered with MathJax. Learn more.

a^1=Ta^0,+l+iRb^0,b^1=iRa^0,+l+Tb^0.
a^out=12a^0,+l(e2ilθ21)+12ib^0(e2ilθ2+1),b^out=i12a^0,+l(e2ilθ2+1)+12b^0(e2ilθ21).
Ips=b^1+b^1=|α|22.
b^out+b^out=b^0+b^0[1+cos(2lθ2)]2=Ips[1+cos(2lθ2)].
X^out=a^out++a^out.
X^out2=|α||α|sin2(2lθ2)+1=X^out2+1=2Ipsδ2+1.
Rlimit=|α|2(δ)2/1=2Ips(δ)2=2Ips(2lθ2)2.
δ=1N=δSNL.
θ2=12lN=θSNL.
a^1=Ga^0,+l+G1b^0+,b^1=G1a^0,+l++Gb^0.
a^out=[G+(G1)e2ilθ2]a^0,+l+[G(G1)+G(G1)e2ilθ2]b^0+,b^out=[G(G1)+G(G1)e2ilθ2]a^0,+l++[(G1)+Ge2ilθ2]b^0.
I^ps=b^1+b^1=(G1)(|α|2+1)(G1)|α|2,|α|1.
b^out+b^out=[2G(G1)+2G(G1)cos(2lθ2)](|α|2+1)[2G(G1)+2G(G1)cos(2lθ2)](|α|2)=2G[1+cos(2lθ2)]Ips.
X^bout2=2G(G1)|α|2[1cos(4lθ2)]+4G24G+1+4G(G1)cos(2lθ2).
X^bout2G(G1)δ2(4|α|2+2)+1.
Rlimit=G(G1)δ2(4|α|2+2)4GIpsδ2.
δ=12GIps=δSNL2G.
Δθ=14lGIps=θSNL2G.
ξ+b^0ξ=b^0coshrb^0+e2iϕsinhr,ξ+b^0+ξ=b^0+coshrb^0e2iϕsinhr,
X^bout24G(G1)δ2|α|2+er|α|1.
Rlimit=4G(G1)δ2|α|2er.
δ=12GIpser=δSNL2Ger.
Δθ=14lGIpser=θSNL2Ger.
Ips=G1.
b^out+b^out=[2G(G1)+2G(G1)cos(2lθ2)].
X^bout2=1+4G(G1)cos(2lθ2)1+2G(G1)δ2.
Rlimit=2G(G1)δ2.
δ=12G(G1)=12Ips(Ips+1)1N=δHL.
Δθ12lN.
a^1=Ga^0+G1b^0+,b^1=G1a^0++Gb^0.
a^out=[G+(G1)e4ilθ2]a^0+[G(G1)+G(G1)e4ilθ2]b^0+,b^out=[G(G1)+G(G1)e4ilθ2]a^0++[(G1)+Ge4ilθ2]b^0.
Ips=b^1+b^1=(G1)(|α|2+1)(G1)|α|2,|α|1.
b^out+b^out=[2G(G1)+2G(G1)cos(4lθ2)](|α|2+1)[2G(G1)+2G(G1)cos(4lθ2)]|α|2=2G[1+cos(4lθ2)]Ips.
X^bout2=2G(G1)|α|2[1cos(8lθ2)]+4G24G+1+4G(G1)cos(4lθ2).
X^bout2G(G1)δ2(4|α|2+2)+1.
Rlimit=G(G1)δ2(4|α|2+2)4GIpsδ2.
δ=12GIps=δSNL2G.
Δθ=18lGIps=θSNL22G.
X^bout24G(G1)δ2|α|2+er,
Rlimit=4G(G1)δ2|α|2er.
δ=12GIpser=12GNer.
Δθ=18lGIpser=14l2GNer.
δ1N=δHL.
Δθ14lN.

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