Abstract

Dicke state is an widely used type of multi-particle entangled state in quantum information. However, very few works have been done on its nonlocality. Here we prepare a four-photon symmetric Dicke state, whose fidelity is as high as 0.904 ± 0.004, and devise a simple Bell-type inequality to demonstrate that it violates the local realism with 12 standard deviation.

© 2015 Optical Society of America

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References

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    [Crossref] [PubMed]
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  3. A. Sen, U. Sen, and M. Żukowski, “Unified criterion for security of secret sharing in terms of violation of Bell inequalities,” Phys. Rev. A 68, 032309 (2003).
    [Crossref]
  4. Č. Brukner, M. Żukowski, J. W. Pan, and A. Zeilinger, “Bell’s inequalities and quantum communication complexity,” Phys. Rev. Lett. 92, 127901 (2004).
    [Crossref]
  5. S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, “Random numbers certified by Bell’s theorem,” Nature 464, 1021–1024 (2010).
    [Crossref] [PubMed]
  6. J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett. 23, 880 (1969).
    [Crossref]
  7. R. F. Werner and M. M. Wolf, “All-multipartite Bell-correlation inequalities for two dichotomic observables per site,” Phys. Rev. A 64, 032112 (2001).
    [Crossref]
  8. H. Weinfurter and M. Żukowski, “Four-photon entanglement from down-conversion,” Phys. Rev. A 64, 010102 (2001).
    [Crossref]
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    [Crossref]
  10. Y. C. Wu, P. Badziag, and M. Żukowski, “Clauser-Horne-Shimony-Holt-type Bell inequalities involving a party with two or three local binary settings,” Phys. Rev. A 79, 022110 (2009).
    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
  26. C. Schmid, N. Kiesel, W. Laskowski, W. Wieczorek, M. Żukowski, and H. Weinfurter, “Discriminating multipartite entangled states,” Phys. Rev. Lett. 100, 200407 (2008).
    [Crossref] [PubMed]
  27. C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044 (1987).
    [Crossref] [PubMed]

2015 (1)

J. Tura, R. Augusiak, A. B. Sainz, B. Lücke, C. Klempt, M. Lewenstein, and A. Acín, “Nonlocality in many-body quantum systems detected with two-body correlators,” Ann. Phys. 362, 370–423 (2015).
[Crossref]

2014 (1)

J. Tura, R. Augusiak, A. B. Sainz, T. Vértesi, M. Lewenstein, and A. Acín, “Detecting nonlocality in many-body quantum states,” Science 344, 1256–1258 (2014).
[Crossref] [PubMed]

2013 (1)

Y. C. Wu, M. Żukowski, J. L. Chen, and G. C. Guo, “Compact Bell inequalities for multipartite experiments,” Phys. Rev. A 88, 022126 (2013).
[Crossref]

2012 (2)

P. Hyllus, W. Laskowski, R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, L. Pezzé, and A. Smerzi, “Fisher information and multiparticle entanglement,” Phys. Rev. A 85, 022324 (2012).
[Crossref]

L. M. Duan, “Entanglement detection in the vicinity of arbitrary Dicke states,” Phys. Rev. Lett. 107, 180502 (2012).
[Crossref]

2011 (1)

R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, P. Hyllus, L. Pezzé, and A. Smerzi, “Useful multiparticle entanglement and sub-shot-noise sensitivity in experimental phase estimation,” Phys. Rev. Lett. 107, 080504 (2011).
[Crossref] [PubMed]

2010 (1)

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, “Random numbers certified by Bell’s theorem,” Nature 464, 1021–1024 (2010).
[Crossref] [PubMed]

2009 (3)

Y. C. Wu, P. Badziag, and M. Żukowski, “Clauser-Horne-Shimony-Holt-type Bell inequalities involving a party with two or three local binary settings,” Phys. Rev. A 79, 022110 (2009).
[Crossref]

W. Wieczorek, R. Krischek, N. Kiesel, P. Michelberger, G. Tóth, and H. Weinfurter, “Experimental entanglement of a six-photon symmetric Dicke state,” Phys. Rev. Lett. 103, 020504 (2009).
[Crossref] [PubMed]

R. Prevedel, G. Cronenberg, M. S. Tame, M. Paternostro, P. Walther, M. S. Kim, and A. Zeilinger, “Experimental realization of Dicke states of up to six qubits for multiparty quantum networking,” Phys. Rev. Lett. 103, 020503 (2009).
[Crossref] [PubMed]

2008 (2)

W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner, O. Gühne, and H. Weinfurter, “Experimental observation of an entire family of four-photon entangled states,” Phys. Rev. Lett. 101, 010503 (2008).
[Crossref] [PubMed]

C. Schmid, N. Kiesel, W. Laskowski, W. Wieczorek, M. Żukowski, and H. Weinfurter, “Discriminating multipartite entangled states,” Phys. Rev. Lett. 100, 200407 (2008).
[Crossref] [PubMed]

2007 (1)

N. Kiesel, C. Schmid, G. Tóth, E. Solano, and H. Weinfurter, “Experimental observation of four-photon entangled Dicke state with high fidelity,” Phys. Rev. Lett. 98, 063604 (2007).
[Crossref] [PubMed]

2004 (1)

Č. Brukner, M. Żukowski, J. W. Pan, and A. Zeilinger, “Bell’s inequalities and quantum communication complexity,” Phys. Rev. Lett. 92, 127901 (2004).
[Crossref]

2003 (1)

A. Sen, U. Sen, and M. Żukowski, “Unified criterion for security of secret sharing in terms of violation of Bell inequalities,” Phys. Rev. A 68, 032309 (2003).
[Crossref]

2002 (1)

M. Żukowski and C. Brukner, “Bell’s theorem for general N-qubit states,” Phys. Rev. Lett. 88, 210401 (2002).
[Crossref]

2001 (3)

V. Scarani and N. Gisin, “Quantum communication between N partners and Bell’s inequalities,” Phys. Rev. Lett. 87. 117901 (2001).
[Crossref]

R. F. Werner and M. M. Wolf, “All-multipartite Bell-correlation inequalities for two dichotomic observables per site,” Phys. Rev. A 64, 032112 (2001).
[Crossref]

H. Weinfurter and M. Żukowski, “Four-photon entanglement from down-conversion,” Phys. Rev. A 64, 010102 (2001).
[Crossref]

1993 (1)

A. V. Belinskii and D. N. Klyshko, “Interference of light and Bell’s theorem,” Phys. Usp. 36, 653 (1993).
[Crossref]

1992 (1)

M. Ardehali, “Bell inequalities with a magnitude of violation that grows exponentially with the number of particles,” Phys. Rev. A 46, 5375 (1992).
[Crossref] [PubMed]

1991 (1)

A. K. Ekert, “Quantum cryptography based on Bell’s theorem,” Phys. Rev. Lett. 67, 661 (1991).
[Crossref] [PubMed]

1990 (1)

N. D. Mermin, “Extreme quantum entanglement in a superposition of macroscopically distinct states,” Phys. Rev. Lett. 65, 1838 (1990).
[Crossref] [PubMed]

1987 (1)

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044 (1987).
[Crossref] [PubMed]

1969 (1)

J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett. 23, 880 (1969).
[Crossref]

1954 (1)

R. H. Dicke, “Coherence in spontaneous radiation processes,” Phys. Rev. 93, 99 (1954).
[Crossref]

Acín, A.

J. Tura, R. Augusiak, A. B. Sainz, B. Lücke, C. Klempt, M. Lewenstein, and A. Acín, “Nonlocality in many-body quantum systems detected with two-body correlators,” Ann. Phys. 362, 370–423 (2015).
[Crossref]

J. Tura, R. Augusiak, A. B. Sainz, T. Vértesi, M. Lewenstein, and A. Acín, “Detecting nonlocality in many-body quantum states,” Science 344, 1256–1258 (2014).
[Crossref] [PubMed]

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, “Random numbers certified by Bell’s theorem,” Nature 464, 1021–1024 (2010).
[Crossref] [PubMed]

Ardehali, M.

M. Ardehali, “Bell inequalities with a magnitude of violation that grows exponentially with the number of particles,” Phys. Rev. A 46, 5375 (1992).
[Crossref] [PubMed]

Augusiak, R.

J. Tura, R. Augusiak, A. B. Sainz, B. Lücke, C. Klempt, M. Lewenstein, and A. Acín, “Nonlocality in many-body quantum systems detected with two-body correlators,” Ann. Phys. 362, 370–423 (2015).
[Crossref]

J. Tura, R. Augusiak, A. B. Sainz, T. Vértesi, M. Lewenstein, and A. Acín, “Detecting nonlocality in many-body quantum states,” Science 344, 1256–1258 (2014).
[Crossref] [PubMed]

Badziag, P.

Y. C. Wu, P. Badziag, and M. Żukowski, “Clauser-Horne-Shimony-Holt-type Bell inequalities involving a party with two or three local binary settings,” Phys. Rev. A 79, 022110 (2009).
[Crossref]

Belinskii, A. V.

A. V. Belinskii and D. N. Klyshko, “Interference of light and Bell’s theorem,” Phys. Usp. 36, 653 (1993).
[Crossref]

Boyer de la Giroday, A.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, “Random numbers certified by Bell’s theorem,” Nature 464, 1021–1024 (2010).
[Crossref] [PubMed]

Brukner, C.

Č. Brukner, M. Żukowski, J. W. Pan, and A. Zeilinger, “Bell’s inequalities and quantum communication complexity,” Phys. Rev. Lett. 92, 127901 (2004).
[Crossref]

M. Żukowski and C. Brukner, “Bell’s theorem for general N-qubit states,” Phys. Rev. Lett. 88, 210401 (2002).
[Crossref]

Chen, J. L.

Y. C. Wu, M. Żukowski, J. L. Chen, and G. C. Guo, “Compact Bell inequalities for multipartite experiments,” Phys. Rev. A 88, 022126 (2013).
[Crossref]

Clauser, J. F.

J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett. 23, 880 (1969).
[Crossref]

Cronenberg, G.

R. Prevedel, G. Cronenberg, M. S. Tame, M. Paternostro, P. Walther, M. S. Kim, and A. Zeilinger, “Experimental realization of Dicke states of up to six qubits for multiparty quantum networking,” Phys. Rev. Lett. 103, 020503 (2009).
[Crossref] [PubMed]

Dicke, R. H.

R. H. Dicke, “Coherence in spontaneous radiation processes,” Phys. Rev. 93, 99 (1954).
[Crossref]

Duan, L. M.

L. M. Duan, “Entanglement detection in the vicinity of arbitrary Dicke states,” Phys. Rev. Lett. 107, 180502 (2012).
[Crossref]

Ekert, A. K.

A. K. Ekert, “Quantum cryptography based on Bell’s theorem,” Phys. Rev. Lett. 67, 661 (1991).
[Crossref] [PubMed]

Gisin, N.

V. Scarani and N. Gisin, “Quantum communication between N partners and Bell’s inequalities,” Phys. Rev. Lett. 87. 117901 (2001).
[Crossref]

Gühne, O.

W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner, O. Gühne, and H. Weinfurter, “Experimental observation of an entire family of four-photon entangled states,” Phys. Rev. Lett. 101, 010503 (2008).
[Crossref] [PubMed]

Guo, G. C.

Y. C. Wu, M. Żukowski, J. L. Chen, and G. C. Guo, “Compact Bell inequalities for multipartite experiments,” Phys. Rev. A 88, 022126 (2013).
[Crossref]

Hayes, D.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, “Random numbers certified by Bell’s theorem,” Nature 464, 1021–1024 (2010).
[Crossref] [PubMed]

Holt, R. A.

J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett. 23, 880 (1969).
[Crossref]

Hong, C. K.

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044 (1987).
[Crossref] [PubMed]

Horne, M. A.

J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett. 23, 880 (1969).
[Crossref]

Hyllus, P.

P. Hyllus, W. Laskowski, R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, L. Pezzé, and A. Smerzi, “Fisher information and multiparticle entanglement,” Phys. Rev. A 85, 022324 (2012).
[Crossref]

R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, P. Hyllus, L. Pezzé, and A. Smerzi, “Useful multiparticle entanglement and sub-shot-noise sensitivity in experimental phase estimation,” Phys. Rev. Lett. 107, 080504 (2011).
[Crossref] [PubMed]

Kiesel, N.

W. Wieczorek, R. Krischek, N. Kiesel, P. Michelberger, G. Tóth, and H. Weinfurter, “Experimental entanglement of a six-photon symmetric Dicke state,” Phys. Rev. Lett. 103, 020504 (2009).
[Crossref] [PubMed]

C. Schmid, N. Kiesel, W. Laskowski, W. Wieczorek, M. Żukowski, and H. Weinfurter, “Discriminating multipartite entangled states,” Phys. Rev. Lett. 100, 200407 (2008).
[Crossref] [PubMed]

W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner, O. Gühne, and H. Weinfurter, “Experimental observation of an entire family of four-photon entangled states,” Phys. Rev. Lett. 101, 010503 (2008).
[Crossref] [PubMed]

N. Kiesel, C. Schmid, G. Tóth, E. Solano, and H. Weinfurter, “Experimental observation of four-photon entangled Dicke state with high fidelity,” Phys. Rev. Lett. 98, 063604 (2007).
[Crossref] [PubMed]

Kim, M. S.

R. Prevedel, G. Cronenberg, M. S. Tame, M. Paternostro, P. Walther, M. S. Kim, and A. Zeilinger, “Experimental realization of Dicke states of up to six qubits for multiparty quantum networking,” Phys. Rev. Lett. 103, 020503 (2009).
[Crossref] [PubMed]

Klempt, C.

J. Tura, R. Augusiak, A. B. Sainz, B. Lücke, C. Klempt, M. Lewenstein, and A. Acín, “Nonlocality in many-body quantum systems detected with two-body correlators,” Ann. Phys. 362, 370–423 (2015).
[Crossref]

Klyshko, D. N.

A. V. Belinskii and D. N. Klyshko, “Interference of light and Bell’s theorem,” Phys. Usp. 36, 653 (1993).
[Crossref]

Krischek, R.

P. Hyllus, W. Laskowski, R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, L. Pezzé, and A. Smerzi, “Fisher information and multiparticle entanglement,” Phys. Rev. A 85, 022324 (2012).
[Crossref]

R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, P. Hyllus, L. Pezzé, and A. Smerzi, “Useful multiparticle entanglement and sub-shot-noise sensitivity in experimental phase estimation,” Phys. Rev. Lett. 107, 080504 (2011).
[Crossref] [PubMed]

W. Wieczorek, R. Krischek, N. Kiesel, P. Michelberger, G. Tóth, and H. Weinfurter, “Experimental entanglement of a six-photon symmetric Dicke state,” Phys. Rev. Lett. 103, 020504 (2009).
[Crossref] [PubMed]

Laskowski, W.

P. Hyllus, W. Laskowski, R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, L. Pezzé, and A. Smerzi, “Fisher information and multiparticle entanglement,” Phys. Rev. A 85, 022324 (2012).
[Crossref]

C. Schmid, N. Kiesel, W. Laskowski, W. Wieczorek, M. Żukowski, and H. Weinfurter, “Discriminating multipartite entangled states,” Phys. Rev. Lett. 100, 200407 (2008).
[Crossref] [PubMed]

Lewenstein, M.

J. Tura, R. Augusiak, A. B. Sainz, B. Lücke, C. Klempt, M. Lewenstein, and A. Acín, “Nonlocality in many-body quantum systems detected with two-body correlators,” Ann. Phys. 362, 370–423 (2015).
[Crossref]

J. Tura, R. Augusiak, A. B. Sainz, T. Vértesi, M. Lewenstein, and A. Acín, “Detecting nonlocality in many-body quantum states,” Science 344, 1256–1258 (2014).
[Crossref] [PubMed]

Lücke, B.

J. Tura, R. Augusiak, A. B. Sainz, B. Lücke, C. Klempt, M. Lewenstein, and A. Acín, “Nonlocality in many-body quantum systems detected with two-body correlators,” Ann. Phys. 362, 370–423 (2015).
[Crossref]

Luo, L.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, “Random numbers certified by Bell’s theorem,” Nature 464, 1021–1024 (2010).
[Crossref] [PubMed]

Mandel, L.

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044 (1987).
[Crossref] [PubMed]

Manning, T. A.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, “Random numbers certified by Bell’s theorem,” Nature 464, 1021–1024 (2010).
[Crossref] [PubMed]

Massar, S.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, “Random numbers certified by Bell’s theorem,” Nature 464, 1021–1024 (2010).
[Crossref] [PubMed]

Matsukevich, D. N.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, “Random numbers certified by Bell’s theorem,” Nature 464, 1021–1024 (2010).
[Crossref] [PubMed]

Maunz, P.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, “Random numbers certified by Bell’s theorem,” Nature 464, 1021–1024 (2010).
[Crossref] [PubMed]

Mermin, N. D.

N. D. Mermin, “Extreme quantum entanglement in a superposition of macroscopically distinct states,” Phys. Rev. Lett. 65, 1838 (1990).
[Crossref] [PubMed]

Michelberger, P.

W. Wieczorek, R. Krischek, N. Kiesel, P. Michelberger, G. Tóth, and H. Weinfurter, “Experimental entanglement of a six-photon symmetric Dicke state,” Phys. Rev. Lett. 103, 020504 (2009).
[Crossref] [PubMed]

Monroe, C.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, “Random numbers certified by Bell’s theorem,” Nature 464, 1021–1024 (2010).
[Crossref] [PubMed]

Olmschenk, S.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, “Random numbers certified by Bell’s theorem,” Nature 464, 1021–1024 (2010).
[Crossref] [PubMed]

Ou, Z. Y.

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044 (1987).
[Crossref] [PubMed]

Pan, J. W.

Č. Brukner, M. Żukowski, J. W. Pan, and A. Zeilinger, “Bell’s inequalities and quantum communication complexity,” Phys. Rev. Lett. 92, 127901 (2004).
[Crossref]

Paternostro, M.

R. Prevedel, G. Cronenberg, M. S. Tame, M. Paternostro, P. Walther, M. S. Kim, and A. Zeilinger, “Experimental realization of Dicke states of up to six qubits for multiparty quantum networking,” Phys. Rev. Lett. 103, 020503 (2009).
[Crossref] [PubMed]

Pezzé, L.

P. Hyllus, W. Laskowski, R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, L. Pezzé, and A. Smerzi, “Fisher information and multiparticle entanglement,” Phys. Rev. A 85, 022324 (2012).
[Crossref]

R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, P. Hyllus, L. Pezzé, and A. Smerzi, “Useful multiparticle entanglement and sub-shot-noise sensitivity in experimental phase estimation,” Phys. Rev. Lett. 107, 080504 (2011).
[Crossref] [PubMed]

Pironio, S.

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, “Random numbers certified by Bell’s theorem,” Nature 464, 1021–1024 (2010).
[Crossref] [PubMed]

Pitowsky, I.

I. Pitowsky, “Quantum probability, quantum logic,” Lecture Notes in Physics (Springer-Verlag, 1989), Vol. 321.

Pohlner, R.

W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner, O. Gühne, and H. Weinfurter, “Experimental observation of an entire family of four-photon entangled states,” Phys. Rev. Lett. 101, 010503 (2008).
[Crossref] [PubMed]

Prevedel, R.

R. Prevedel, G. Cronenberg, M. S. Tame, M. Paternostro, P. Walther, M. S. Kim, and A. Zeilinger, “Experimental realization of Dicke states of up to six qubits for multiparty quantum networking,” Phys. Rev. Lett. 103, 020503 (2009).
[Crossref] [PubMed]

Sainz, A. B.

J. Tura, R. Augusiak, A. B. Sainz, B. Lücke, C. Klempt, M. Lewenstein, and A. Acín, “Nonlocality in many-body quantum systems detected with two-body correlators,” Ann. Phys. 362, 370–423 (2015).
[Crossref]

J. Tura, R. Augusiak, A. B. Sainz, T. Vértesi, M. Lewenstein, and A. Acín, “Detecting nonlocality in many-body quantum states,” Science 344, 1256–1258 (2014).
[Crossref] [PubMed]

Scarani, V.

V. Scarani and N. Gisin, “Quantum communication between N partners and Bell’s inequalities,” Phys. Rev. Lett. 87. 117901 (2001).
[Crossref]

Schmid, C.

W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner, O. Gühne, and H. Weinfurter, “Experimental observation of an entire family of four-photon entangled states,” Phys. Rev. Lett. 101, 010503 (2008).
[Crossref] [PubMed]

C. Schmid, N. Kiesel, W. Laskowski, W. Wieczorek, M. Żukowski, and H. Weinfurter, “Discriminating multipartite entangled states,” Phys. Rev. Lett. 100, 200407 (2008).
[Crossref] [PubMed]

N. Kiesel, C. Schmid, G. Tóth, E. Solano, and H. Weinfurter, “Experimental observation of four-photon entangled Dicke state with high fidelity,” Phys. Rev. Lett. 98, 063604 (2007).
[Crossref] [PubMed]

Schwemmer, C.

P. Hyllus, W. Laskowski, R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, L. Pezzé, and A. Smerzi, “Fisher information and multiparticle entanglement,” Phys. Rev. A 85, 022324 (2012).
[Crossref]

R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, P. Hyllus, L. Pezzé, and A. Smerzi, “Useful multiparticle entanglement and sub-shot-noise sensitivity in experimental phase estimation,” Phys. Rev. Lett. 107, 080504 (2011).
[Crossref] [PubMed]

Sen, A.

A. Sen, U. Sen, and M. Żukowski, “Unified criterion for security of secret sharing in terms of violation of Bell inequalities,” Phys. Rev. A 68, 032309 (2003).
[Crossref]

Sen, U.

A. Sen, U. Sen, and M. Żukowski, “Unified criterion for security of secret sharing in terms of violation of Bell inequalities,” Phys. Rev. A 68, 032309 (2003).
[Crossref]

Shimony, A.

J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett. 23, 880 (1969).
[Crossref]

Smerzi, A.

P. Hyllus, W. Laskowski, R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, L. Pezzé, and A. Smerzi, “Fisher information and multiparticle entanglement,” Phys. Rev. A 85, 022324 (2012).
[Crossref]

R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, P. Hyllus, L. Pezzé, and A. Smerzi, “Useful multiparticle entanglement and sub-shot-noise sensitivity in experimental phase estimation,” Phys. Rev. Lett. 107, 080504 (2011).
[Crossref] [PubMed]

Solano, E.

N. Kiesel, C. Schmid, G. Tóth, E. Solano, and H. Weinfurter, “Experimental observation of four-photon entangled Dicke state with high fidelity,” Phys. Rev. Lett. 98, 063604 (2007).
[Crossref] [PubMed]

Tame, M. S.

R. Prevedel, G. Cronenberg, M. S. Tame, M. Paternostro, P. Walther, M. S. Kim, and A. Zeilinger, “Experimental realization of Dicke states of up to six qubits for multiparty quantum networking,” Phys. Rev. Lett. 103, 020503 (2009).
[Crossref] [PubMed]

Tóth, G.

W. Wieczorek, R. Krischek, N. Kiesel, P. Michelberger, G. Tóth, and H. Weinfurter, “Experimental entanglement of a six-photon symmetric Dicke state,” Phys. Rev. Lett. 103, 020504 (2009).
[Crossref] [PubMed]

N. Kiesel, C. Schmid, G. Tóth, E. Solano, and H. Weinfurter, “Experimental observation of four-photon entangled Dicke state with high fidelity,” Phys. Rev. Lett. 98, 063604 (2007).
[Crossref] [PubMed]

Tura, J.

J. Tura, R. Augusiak, A. B. Sainz, B. Lücke, C. Klempt, M. Lewenstein, and A. Acín, “Nonlocality in many-body quantum systems detected with two-body correlators,” Ann. Phys. 362, 370–423 (2015).
[Crossref]

J. Tura, R. Augusiak, A. B. Sainz, T. Vértesi, M. Lewenstein, and A. Acín, “Detecting nonlocality in many-body quantum states,” Science 344, 1256–1258 (2014).
[Crossref] [PubMed]

Vértesi, T.

J. Tura, R. Augusiak, A. B. Sainz, T. Vértesi, M. Lewenstein, and A. Acín, “Detecting nonlocality in many-body quantum states,” Science 344, 1256–1258 (2014).
[Crossref] [PubMed]

Walther, P.

R. Prevedel, G. Cronenberg, M. S. Tame, M. Paternostro, P. Walther, M. S. Kim, and A. Zeilinger, “Experimental realization of Dicke states of up to six qubits for multiparty quantum networking,” Phys. Rev. Lett. 103, 020503 (2009).
[Crossref] [PubMed]

Weinfurter, H.

P. Hyllus, W. Laskowski, R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, L. Pezzé, and A. Smerzi, “Fisher information and multiparticle entanglement,” Phys. Rev. A 85, 022324 (2012).
[Crossref]

R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, P. Hyllus, L. Pezzé, and A. Smerzi, “Useful multiparticle entanglement and sub-shot-noise sensitivity in experimental phase estimation,” Phys. Rev. Lett. 107, 080504 (2011).
[Crossref] [PubMed]

W. Wieczorek, R. Krischek, N. Kiesel, P. Michelberger, G. Tóth, and H. Weinfurter, “Experimental entanglement of a six-photon symmetric Dicke state,” Phys. Rev. Lett. 103, 020504 (2009).
[Crossref] [PubMed]

W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner, O. Gühne, and H. Weinfurter, “Experimental observation of an entire family of four-photon entangled states,” Phys. Rev. Lett. 101, 010503 (2008).
[Crossref] [PubMed]

C. Schmid, N. Kiesel, W. Laskowski, W. Wieczorek, M. Żukowski, and H. Weinfurter, “Discriminating multipartite entangled states,” Phys. Rev. Lett. 100, 200407 (2008).
[Crossref] [PubMed]

N. Kiesel, C. Schmid, G. Tóth, E. Solano, and H. Weinfurter, “Experimental observation of four-photon entangled Dicke state with high fidelity,” Phys. Rev. Lett. 98, 063604 (2007).
[Crossref] [PubMed]

H. Weinfurter and M. Żukowski, “Four-photon entanglement from down-conversion,” Phys. Rev. A 64, 010102 (2001).
[Crossref]

Werner, R. F.

R. F. Werner and M. M. Wolf, “All-multipartite Bell-correlation inequalities for two dichotomic observables per site,” Phys. Rev. A 64, 032112 (2001).
[Crossref]

Wieczorek, W.

P. Hyllus, W. Laskowski, R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, L. Pezzé, and A. Smerzi, “Fisher information and multiparticle entanglement,” Phys. Rev. A 85, 022324 (2012).
[Crossref]

R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, P. Hyllus, L. Pezzé, and A. Smerzi, “Useful multiparticle entanglement and sub-shot-noise sensitivity in experimental phase estimation,” Phys. Rev. Lett. 107, 080504 (2011).
[Crossref] [PubMed]

W. Wieczorek, R. Krischek, N. Kiesel, P. Michelberger, G. Tóth, and H. Weinfurter, “Experimental entanglement of a six-photon symmetric Dicke state,” Phys. Rev. Lett. 103, 020504 (2009).
[Crossref] [PubMed]

C. Schmid, N. Kiesel, W. Laskowski, W. Wieczorek, M. Żukowski, and H. Weinfurter, “Discriminating multipartite entangled states,” Phys. Rev. Lett. 100, 200407 (2008).
[Crossref] [PubMed]

W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner, O. Gühne, and H. Weinfurter, “Experimental observation of an entire family of four-photon entangled states,” Phys. Rev. Lett. 101, 010503 (2008).
[Crossref] [PubMed]

Wolf, M. M.

R. F. Werner and M. M. Wolf, “All-multipartite Bell-correlation inequalities for two dichotomic observables per site,” Phys. Rev. A 64, 032112 (2001).
[Crossref]

Wu, Y. C.

Y. C. Wu, M. Żukowski, J. L. Chen, and G. C. Guo, “Compact Bell inequalities for multipartite experiments,” Phys. Rev. A 88, 022126 (2013).
[Crossref]

Y. C. Wu, P. Badziag, and M. Żukowski, “Clauser-Horne-Shimony-Holt-type Bell inequalities involving a party with two or three local binary settings,” Phys. Rev. A 79, 022110 (2009).
[Crossref]

Zeilinger, A.

R. Prevedel, G. Cronenberg, M. S. Tame, M. Paternostro, P. Walther, M. S. Kim, and A. Zeilinger, “Experimental realization of Dicke states of up to six qubits for multiparty quantum networking,” Phys. Rev. Lett. 103, 020503 (2009).
[Crossref] [PubMed]

Č. Brukner, M. Żukowski, J. W. Pan, and A. Zeilinger, “Bell’s inequalities and quantum communication complexity,” Phys. Rev. Lett. 92, 127901 (2004).
[Crossref]

Zukowski, M.

Y. C. Wu, M. Żukowski, J. L. Chen, and G. C. Guo, “Compact Bell inequalities for multipartite experiments,” Phys. Rev. A 88, 022126 (2013).
[Crossref]

Y. C. Wu, P. Badziag, and M. Żukowski, “Clauser-Horne-Shimony-Holt-type Bell inequalities involving a party with two or three local binary settings,” Phys. Rev. A 79, 022110 (2009).
[Crossref]

C. Schmid, N. Kiesel, W. Laskowski, W. Wieczorek, M. Żukowski, and H. Weinfurter, “Discriminating multipartite entangled states,” Phys. Rev. Lett. 100, 200407 (2008).
[Crossref] [PubMed]

Č. Brukner, M. Żukowski, J. W. Pan, and A. Zeilinger, “Bell’s inequalities and quantum communication complexity,” Phys. Rev. Lett. 92, 127901 (2004).
[Crossref]

A. Sen, U. Sen, and M. Żukowski, “Unified criterion for security of secret sharing in terms of violation of Bell inequalities,” Phys. Rev. A 68, 032309 (2003).
[Crossref]

M. Żukowski and C. Brukner, “Bell’s theorem for general N-qubit states,” Phys. Rev. Lett. 88, 210401 (2002).
[Crossref]

H. Weinfurter and M. Żukowski, “Four-photon entanglement from down-conversion,” Phys. Rev. A 64, 010102 (2001).
[Crossref]

Ann. Phys. (1)

J. Tura, R. Augusiak, A. B. Sainz, B. Lücke, C. Klempt, M. Lewenstein, and A. Acín, “Nonlocality in many-body quantum systems detected with two-body correlators,” Ann. Phys. 362, 370–423 (2015).
[Crossref]

Nature (1)

S. Pironio, A. Acín, S. Massar, A. Boyer de la Giroday, D. N. Matsukevich, P. Maunz, S. Olmschenk, D. Hayes, L. Luo, T. A. Manning, and C. Monroe, “Random numbers certified by Bell’s theorem,” Nature 464, 1021–1024 (2010).
[Crossref] [PubMed]

Phys. Rev. (1)

R. H. Dicke, “Coherence in spontaneous radiation processes,” Phys. Rev. 93, 99 (1954).
[Crossref]

Phys. Rev. A (7)

Y. C. Wu, P. Badziag, and M. Żukowski, “Clauser-Horne-Shimony-Holt-type Bell inequalities involving a party with two or three local binary settings,” Phys. Rev. A 79, 022110 (2009).
[Crossref]

M. Ardehali, “Bell inequalities with a magnitude of violation that grows exponentially with the number of particles,” Phys. Rev. A 46, 5375 (1992).
[Crossref] [PubMed]

R. F. Werner and M. M. Wolf, “All-multipartite Bell-correlation inequalities for two dichotomic observables per site,” Phys. Rev. A 64, 032112 (2001).
[Crossref]

H. Weinfurter and M. Żukowski, “Four-photon entanglement from down-conversion,” Phys. Rev. A 64, 010102 (2001).
[Crossref]

A. Sen, U. Sen, and M. Żukowski, “Unified criterion for security of secret sharing in terms of violation of Bell inequalities,” Phys. Rev. A 68, 032309 (2003).
[Crossref]

P. Hyllus, W. Laskowski, R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, L. Pezzé, and A. Smerzi, “Fisher information and multiparticle entanglement,” Phys. Rev. A 85, 022324 (2012).
[Crossref]

Y. C. Wu, M. Żukowski, J. L. Chen, and G. C. Guo, “Compact Bell inequalities for multipartite experiments,” Phys. Rev. A 88, 022126 (2013).
[Crossref]

Phys. Rev. Lett. (14)

L. M. Duan, “Entanglement detection in the vicinity of arbitrary Dicke states,” Phys. Rev. Lett. 107, 180502 (2012).
[Crossref]

W. Wieczorek, R. Krischek, N. Kiesel, P. Michelberger, G. Tóth, and H. Weinfurter, “Experimental entanglement of a six-photon symmetric Dicke state,” Phys. Rev. Lett. 103, 020504 (2009).
[Crossref] [PubMed]

R. Prevedel, G. Cronenberg, M. S. Tame, M. Paternostro, P. Walther, M. S. Kim, and A. Zeilinger, “Experimental realization of Dicke states of up to six qubits for multiparty quantum networking,” Phys. Rev. Lett. 103, 020503 (2009).
[Crossref] [PubMed]

W. Wieczorek, C. Schmid, N. Kiesel, R. Pohlner, O. Gühne, and H. Weinfurter, “Experimental observation of an entire family of four-photon entangled states,” Phys. Rev. Lett. 101, 010503 (2008).
[Crossref] [PubMed]

C. Schmid, N. Kiesel, W. Laskowski, W. Wieczorek, M. Żukowski, and H. Weinfurter, “Discriminating multipartite entangled states,” Phys. Rev. Lett. 100, 200407 (2008).
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C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044 (1987).
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Č. Brukner, M. Żukowski, J. W. Pan, and A. Zeilinger, “Bell’s inequalities and quantum communication complexity,” Phys. Rev. Lett. 92, 127901 (2004).
[Crossref]

A. K. Ekert, “Quantum cryptography based on Bell’s theorem,” Phys. Rev. Lett. 67, 661 (1991).
[Crossref] [PubMed]

V. Scarani and N. Gisin, “Quantum communication between N partners and Bell’s inequalities,” Phys. Rev. Lett. 87. 117901 (2001).
[Crossref]

M. Żukowski and C. Brukner, “Bell’s theorem for general N-qubit states,” Phys. Rev. Lett. 88, 210401 (2002).
[Crossref]

J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, “Proposed experiment to test local hidden-variable theories,” Phys. Rev. Lett. 23, 880 (1969).
[Crossref]

N. D. Mermin, “Extreme quantum entanglement in a superposition of macroscopically distinct states,” Phys. Rev. Lett. 65, 1838 (1990).
[Crossref] [PubMed]

N. Kiesel, C. Schmid, G. Tóth, E. Solano, and H. Weinfurter, “Experimental observation of four-photon entangled Dicke state with high fidelity,” Phys. Rev. Lett. 98, 063604 (2007).
[Crossref] [PubMed]

R. Krischek, C. Schwemmer, W. Wieczorek, H. Weinfurter, P. Hyllus, L. Pezzé, and A. Smerzi, “Useful multiparticle entanglement and sub-shot-noise sensitivity in experimental phase estimation,” Phys. Rev. Lett. 107, 080504 (2011).
[Crossref] [PubMed]

Phys. Usp. (1)

A. V. Belinskii and D. N. Klyshko, “Interference of light and Bell’s theorem,” Phys. Usp. 36, 653 (1993).
[Crossref]

Science (1)

J. Tura, R. Augusiak, A. B. Sainz, T. Vértesi, M. Lewenstein, and A. Acín, “Detecting nonlocality in many-body quantum states,” Science 344, 1256–1258 (2014).
[Crossref] [PubMed]

Other (1)

I. Pitowsky, “Quantum probability, quantum logic,” Lecture Notes in Physics (Springer-Verlag, 1989), Vol. 321.

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Figures (3)

Fig. 1
Fig. 1 Experimental setup for Dicke state preparation. A type-I beta-barium-borate (BBO) crystal is pumped by ultraviolet (UV) pulses to generate the four-photon scalar product state. Then they are equally distributed onto four spatial modes ’c’, ’d’, ’e’ and ’f’ by three beam splitters (BSs) behind interference filters (IF, Δλ =3 nm, λ =780 nm). Polarization analysis (PA) in each basis is performed by using a quarter-wave plate (QWP) and a half-wave plate (HWP) in front of the polarizing beam splitter (PBS), and the photons are detected by the avalanche photo-diodes (APD).
Fig. 2
Fig. 2 State tomography. Histograms of the density matrix for the ideal state and the real part of the density matrix derived from the measurement data.
Fig. 3
Fig. 3 Results. Each term’s values are combinations of 16 coincidence rates. The values for a 0 b 0 c 0 d 0, a 0 b 1 c 1 d 1, a 1 b 0 c 1 d 0, a 1 b 1 c 0 d 1 are 0.6443 ± 0.0168, 0.4683 ± 0.0160, 0.6315 ± 0.0165 and −0.6588 ± 0.0167, respectively. By substitution of these into the Bell inequality, we obtained a value of 2.4029 ± 0.0330, which violates the local realism threshold by more than 12σ.

Tables (1)

Tables Icon

Table 1 The coefficients of the local observables.

Equations (3)

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

| Ψ = | H a | H a | H b | H b .
| D 4 ( 2 ) = 1 6 ( | H H V V + | H V H V + | V H H V + | H V V H + | V H V H + | V V H H ) ,
A ^ 0 B ^ 0 C ^ 0 D ^ 0 + A ^ 0 B ^ 1 C ^ 1 D ^ 1 + A ^ 1 B ^ 0 C ^ 1 D ^ 0 A ^ 1 B ^ 1 C ^ 0 D ^ 1 2 ,

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