Abstract

In a recent paper [R. Alicki and N. Van Ryn, J. Phys. A: Math. Theor., 41, 062001 (2008)] a test of nonclassicality for a single qubit was proposed. Here, we discuss the class of hidden variables theories to which this test applies and present an experimental realization

© 2008 Optical Society of America

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  1. A. Einstein, B. Podolsky, and N. Rosen, "Can quantum-mechanical description of physical reality be considered complete?," Phys. Rev. 47, 777-780 (1935).
    [CrossRef]
  2. J. S. Bell, "On the Einstein Podolsky Rosen paradox," Physics 1, 195-200 (1964).
  3. M. Genovese, "Research on hidden variable theories: A review of recent progresses," Phys. Rep. 413, 319-396 (2005).
    [CrossRef]
  4. A. Aspect, J. Dalibard, and G. Roger, "Experimental Test of Bell�??s Inequalities Using Time-Varying Analyzers," Phys. Rev. Lett. 49, 1804-1807 (1982).
    [CrossRef]
  5. J. P. Franson, "Bell inequality for position and time," Phys. Rev. Lett. 62, 2205-2208 (1989).
    [CrossRef] [PubMed]
  6. J. G. Rarity and P. R. Tapster, "Experimental violation of Bells inequality based on phase and momentum," Phys. Rev. Lett. 64, 2495-2498 (1990).
    [CrossRef] [PubMed]
  7. Q1. J. Brendel, E. Mohler, and W. Martienssen, "Experimental Test of Bell�??s Inequality for Energy and Time," Eur. Phys. Lett. 20, 575-580 (1993).
    [CrossRef]
  8. P. G. Kwiat, W. A. Vareka, C. K. Hong, H. Nathel, and R. Y. Chiao, "Correlated two-photon interference in a dual-beam Michelson interferometer," Phys. Rev. A 41, 2910-2913 (1990).
    [CrossRef] [PubMed]
  9. T. E. Kiess, Y. H. Shih, A. V. Sergienko, and C. O. Alley, "Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by type-II parametric down-conversion," Phys. Rev. Lett. 71, 3893-3897 (1993).
    [CrossRef] [PubMed]
  10. P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, "New High-Intensity Source of Polarization-Entangled Photon Pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
    [CrossRef] [PubMed]
  11. Z. J. Ou and L. Mandel, "Violation of Bell�??s Inequality and Classical Probability in a Two-Photon Correlation Experiment," Phys. Rev. Lett. 61, 50-53 (1988).
    [CrossRef] [PubMed]
  12. Y. H. Shih, A. V. Sergienko, and M. H. Rubin, "Einstein-Podolsky-Rosen state for space-time variables in a two-photon interference experiment," Phys. Rev. A 47, 1288-1293 (1993).
    [CrossRef] [PubMed]
  13. J. R. Torgerson, D. Branning, C. H. Monken, and L. Mandel, "Experimental demonstration of the violation of local realism without Bell inequalities," Phys. Lett. A 204, 323328 (1995).
    [CrossRef]
  14. J-W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter and A. Zeilinger, "Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement," Nature 403, 515-519 (2000).
    [CrossRef] [PubMed]
  15. G. Brida, M. Genovese, C. Novero, and E. Predazzi, "New experimental test of Bell inequalities by the use of a non-maximally entangled photon state," Phys. Lett. A 268, 12-16 (2000).
    [CrossRef]
  16. W. Tittel, J. Brendel, H. Zbinden, and N. Gisin, "Violation of Bell Inequalities by Photons More Than 10 km Apart," Phys. Rev. Lett. 81, 3563-3566 (1998).
    [CrossRef]
  17. G. Weihs, T. Jennewein, C. Simon, H. Weinfurter, and A. Zeilinger, "Violation of Bell�??s Inequality under Strict Einstein Locality Conditions," Phys. Rev. Lett. 81, 5039-5043 (1998).
    [CrossRef]
  18. M. A. Rowe, D. Kielpinski, V. Meyer, C. A. Scakett, W. M. Itano, C. Monroe, and D. J. Wineland, "Experimental violation of a Bell�??s inequality with efficient detection," Nature 409, 791-794 (2001).
    [CrossRef] [PubMed]
  19. S. Groeblacher, T. Paterek, R. Kaltenbaek, C. Brukner, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, "An experimental test of non-local realism," Nature 446, 871-875 (2007).
    [CrossRef]
  20. C. Branciard, A. Ling, N. Gisin, C. Kurtsiefer, A. Lamas-Linares, and V. Scarani, "Experimental Falsification of Leggett�??s Nonlocal Variable Model," Phys. Rev. Lett. 99, 210407 (2007).
    [CrossRef]
  21. T. Paterek, A. Fedrizzi, S. Groblacher, T. Jennewein, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, "Experimental Test of Nonlocal Realistic Theories Without the Rotational Symmetry Assumption," Phys. Rev. Lett. 99, 2104006 (2007).
    [CrossRef]
  22. G. Brida, M. Genovese, C. Novero, and E. Predazzi, "A first test of Wigner function local realistic model," Phys. Lett. A 299, 121-124 (2002).
    [CrossRef]
  23. G. Brida, M. Genovese, and F. Piacentini, "Experimental local realism tests without fair sampling assumption," Eur. Phys. J. D 44, 577-580 (2007).
    [CrossRef]
  24. G. Brida, E. Cagliero, G. Falzetta, M. Genovese, M. Gramegna and C. Novero, "Experimental realization of a first test of de BroglieBohm theory," J. Phys. B: At. Mol. Opt. Phys. 35, 4751-4756 (2002).
    [CrossRef]
  25. G. Brida, E. Cagliero, G. Falzetta, M. Genovese, M. Gramegna, and E. Predazzi, "Biphoton double-slit experiment," Phys. Rev. A 68, 033803 (2003).
    [CrossRef]
  26. M. D. Eisaman, E. A. Goldschmidt, J. Chen, J. Fan, and A. Migdall, "Experimental test of nonlocal realism using a fiber-based source of polarization-entangled photon pairs," Phys. Rev. A 77, 032339 (2008).
    [CrossRef]
  27. A. Leggett, "Nonlocal Hidden-Variable Theories and Quantum Mechanics: An Incompatibility Theorem," Found. Phys. 33, 1469-1493 (2003).
    [CrossRef]
  28. G. Auletta, Foundations and Interpretation of Quantum Mechanics (World Scientific, Singapore, 2000).
    [CrossRef]
  29. R. Alicki and N. Van Ryn, "A simple test of quantumness for a single system," J. Phys. A: Math. Theor.  41, 062001 (2008).
    [CrossRef]
  30. F. De Zela, "Single-qubit tests of Bell-like inequalities," Phys. Rev. A 76, 042119 (2007).
    [CrossRef]
  31. R. Lapiedra, "Joint reality and Bell inequalities for consecutive measurements," Eur. Phys. Lett. 75, 202-208 (2006).
    [CrossRef]
  32. R. Ruskov, A. N. Korotkov, and A. Mizel, "Signatures of Quantum Behavior in Single-Qubit Weak Measurements," Phys. Rev. Lett. 96, 200404 (2006).
    [CrossRef] [PubMed]
  33. A. N. Jordan, A. N. Korotkov, and M. Bttiker, "Leggett-Garg Inequality with a Kicked Quantum Pump," Phys. Rev. Lett. 97, 026805 (2006).
    [CrossRef] [PubMed]
  34. J. D. Malley, A. Fine, "Noncomuting observables and local realism," Phys. Lett. A 347, 51 (2005).
    [CrossRef]
  35. This follows from C*-algebra theory as well as [29].
  36. A study to fully identify such a class and possibility of its expansion via additional measurements is underway.
  37. S. Castelletto, I. P. Degiovanni, V. Schettini, and A. Migdall, "Optimizing single-photon-source heralding efficiency and detection efficiency metrology at 1550 nm using periodically poled lithium niobate," Metrologia 43, S56-S60 (2006).
    [CrossRef]
  38. V. Schettini, S. V. Polyakov, I. P. Degiovanni, G. Brida, S. Castelletto, and A. L. Migdall, "Implementing a Multiplexed System of Detectors for Higher Photon Counting Rates," IEEE J. Sel. Top. Quantum Electron. 13, 978-983 (2007).
    [CrossRef]
  39. We note that while this test could have been setup using a more conventional component for the variable beamsplitter than the optical switch, it was used in this case because it served the purpose and was already in place from an earlier experiment.
  40. P. Grangier, G. Roger, and A. Aspect, "Experimental evidence for a photon anticorrelation effect on a beam splitter: a new light on single-photon interferences," Europhys. Lett. 11, 173-179 (1986).
    [CrossRef]

2008 (2)

R. Alicki and N. Van Ryn, "A simple test of quantumness for a single system," J. Phys. A: Math. Theor.  41, 062001 (2008).
[CrossRef]

M. D. Eisaman, E. A. Goldschmidt, J. Chen, J. Fan, and A. Migdall, "Experimental test of nonlocal realism using a fiber-based source of polarization-entangled photon pairs," Phys. Rev. A 77, 032339 (2008).
[CrossRef]

2007 (6)

F. De Zela, "Single-qubit tests of Bell-like inequalities," Phys. Rev. A 76, 042119 (2007).
[CrossRef]

S. Groeblacher, T. Paterek, R. Kaltenbaek, C. Brukner, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, "An experimental test of non-local realism," Nature 446, 871-875 (2007).
[CrossRef]

C. Branciard, A. Ling, N. Gisin, C. Kurtsiefer, A. Lamas-Linares, and V. Scarani, "Experimental Falsification of Leggett�??s Nonlocal Variable Model," Phys. Rev. Lett. 99, 210407 (2007).
[CrossRef]

T. Paterek, A. Fedrizzi, S. Groblacher, T. Jennewein, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, "Experimental Test of Nonlocal Realistic Theories Without the Rotational Symmetry Assumption," Phys. Rev. Lett. 99, 2104006 (2007).
[CrossRef]

G. Brida, M. Genovese, and F. Piacentini, "Experimental local realism tests without fair sampling assumption," Eur. Phys. J. D 44, 577-580 (2007).
[CrossRef]

V. Schettini, S. V. Polyakov, I. P. Degiovanni, G. Brida, S. Castelletto, and A. L. Migdall, "Implementing a Multiplexed System of Detectors for Higher Photon Counting Rates," IEEE J. Sel. Top. Quantum Electron. 13, 978-983 (2007).
[CrossRef]

2006 (4)

R. Lapiedra, "Joint reality and Bell inequalities for consecutive measurements," Eur. Phys. Lett. 75, 202-208 (2006).
[CrossRef]

R. Ruskov, A. N. Korotkov, and A. Mizel, "Signatures of Quantum Behavior in Single-Qubit Weak Measurements," Phys. Rev. Lett. 96, 200404 (2006).
[CrossRef] [PubMed]

A. N. Jordan, A. N. Korotkov, and M. Bttiker, "Leggett-Garg Inequality with a Kicked Quantum Pump," Phys. Rev. Lett. 97, 026805 (2006).
[CrossRef] [PubMed]

S. Castelletto, I. P. Degiovanni, V. Schettini, and A. Migdall, "Optimizing single-photon-source heralding efficiency and detection efficiency metrology at 1550 nm using periodically poled lithium niobate," Metrologia 43, S56-S60 (2006).
[CrossRef]

2005 (2)

J. D. Malley, A. Fine, "Noncomuting observables and local realism," Phys. Lett. A 347, 51 (2005).
[CrossRef]

M. Genovese, "Research on hidden variable theories: A review of recent progresses," Phys. Rep. 413, 319-396 (2005).
[CrossRef]

2003 (2)

G. Brida, E. Cagliero, G. Falzetta, M. Genovese, M. Gramegna, and E. Predazzi, "Biphoton double-slit experiment," Phys. Rev. A 68, 033803 (2003).
[CrossRef]

A. Leggett, "Nonlocal Hidden-Variable Theories and Quantum Mechanics: An Incompatibility Theorem," Found. Phys. 33, 1469-1493 (2003).
[CrossRef]

2002 (2)

G. Brida, E. Cagliero, G. Falzetta, M. Genovese, M. Gramegna and C. Novero, "Experimental realization of a first test of de BroglieBohm theory," J. Phys. B: At. Mol. Opt. Phys. 35, 4751-4756 (2002).
[CrossRef]

G. Brida, M. Genovese, C. Novero, and E. Predazzi, "A first test of Wigner function local realistic model," Phys. Lett. A 299, 121-124 (2002).
[CrossRef]

2001 (1)

M. A. Rowe, D. Kielpinski, V. Meyer, C. A. Scakett, W. M. Itano, C. Monroe, and D. J. Wineland, "Experimental violation of a Bell�??s inequality with efficient detection," Nature 409, 791-794 (2001).
[CrossRef] [PubMed]

2000 (2)

J-W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter and A. Zeilinger, "Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement," Nature 403, 515-519 (2000).
[CrossRef] [PubMed]

G. Brida, M. Genovese, C. Novero, and E. Predazzi, "New experimental test of Bell inequalities by the use of a non-maximally entangled photon state," Phys. Lett. A 268, 12-16 (2000).
[CrossRef]

1998 (2)

W. Tittel, J. Brendel, H. Zbinden, and N. Gisin, "Violation of Bell Inequalities by Photons More Than 10 km Apart," Phys. Rev. Lett. 81, 3563-3566 (1998).
[CrossRef]

G. Weihs, T. Jennewein, C. Simon, H. Weinfurter, and A. Zeilinger, "Violation of Bell�??s Inequality under Strict Einstein Locality Conditions," Phys. Rev. Lett. 81, 5039-5043 (1998).
[CrossRef]

1995 (2)

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, "New High-Intensity Source of Polarization-Entangled Photon Pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
[CrossRef] [PubMed]

J. R. Torgerson, D. Branning, C. H. Monken, and L. Mandel, "Experimental demonstration of the violation of local realism without Bell inequalities," Phys. Lett. A 204, 323328 (1995).
[CrossRef]

1993 (3)

T. E. Kiess, Y. H. Shih, A. V. Sergienko, and C. O. Alley, "Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by type-II parametric down-conversion," Phys. Rev. Lett. 71, 3893-3897 (1993).
[CrossRef] [PubMed]

Y. H. Shih, A. V. Sergienko, and M. H. Rubin, "Einstein-Podolsky-Rosen state for space-time variables in a two-photon interference experiment," Phys. Rev. A 47, 1288-1293 (1993).
[CrossRef] [PubMed]

Q1. J. Brendel, E. Mohler, and W. Martienssen, "Experimental Test of Bell�??s Inequality for Energy and Time," Eur. Phys. Lett. 20, 575-580 (1993).
[CrossRef]

1990 (2)

P. G. Kwiat, W. A. Vareka, C. K. Hong, H. Nathel, and R. Y. Chiao, "Correlated two-photon interference in a dual-beam Michelson interferometer," Phys. Rev. A 41, 2910-2913 (1990).
[CrossRef] [PubMed]

J. G. Rarity and P. R. Tapster, "Experimental violation of Bells inequality based on phase and momentum," Phys. Rev. Lett. 64, 2495-2498 (1990).
[CrossRef] [PubMed]

1989 (1)

J. P. Franson, "Bell inequality for position and time," Phys. Rev. Lett. 62, 2205-2208 (1989).
[CrossRef] [PubMed]

1988 (1)

Z. J. Ou and L. Mandel, "Violation of Bell�??s Inequality and Classical Probability in a Two-Photon Correlation Experiment," Phys. Rev. Lett. 61, 50-53 (1988).
[CrossRef] [PubMed]

1986 (1)

P. Grangier, G. Roger, and A. Aspect, "Experimental evidence for a photon anticorrelation effect on a beam splitter: a new light on single-photon interferences," Europhys. Lett. 11, 173-179 (1986).
[CrossRef]

1982 (1)

A. Aspect, J. Dalibard, and G. Roger, "Experimental Test of Bell�??s Inequalities Using Time-Varying Analyzers," Phys. Rev. Lett. 49, 1804-1807 (1982).
[CrossRef]

1964 (1)

J. S. Bell, "On the Einstein Podolsky Rosen paradox," Physics 1, 195-200 (1964).

1935 (1)

A. Einstein, B. Podolsky, and N. Rosen, "Can quantum-mechanical description of physical reality be considered complete?," Phys. Rev. 47, 777-780 (1935).
[CrossRef]

Alicki, R.

R. Alicki and N. Van Ryn, "A simple test of quantumness for a single system," J. Phys. A: Math. Theor.  41, 062001 (2008).
[CrossRef]

Alley, C. O.

T. E. Kiess, Y. H. Shih, A. V. Sergienko, and C. O. Alley, "Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by type-II parametric down-conversion," Phys. Rev. Lett. 71, 3893-3897 (1993).
[CrossRef] [PubMed]

Aspect, A.

P. Grangier, G. Roger, and A. Aspect, "Experimental evidence for a photon anticorrelation effect on a beam splitter: a new light on single-photon interferences," Europhys. Lett. 11, 173-179 (1986).
[CrossRef]

A. Aspect, J. Dalibard, and G. Roger, "Experimental Test of Bell�??s Inequalities Using Time-Varying Analyzers," Phys. Rev. Lett. 49, 1804-1807 (1982).
[CrossRef]

Aspelmeyer, M.

S. Groeblacher, T. Paterek, R. Kaltenbaek, C. Brukner, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, "An experimental test of non-local realism," Nature 446, 871-875 (2007).
[CrossRef]

T. Paterek, A. Fedrizzi, S. Groblacher, T. Jennewein, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, "Experimental Test of Nonlocal Realistic Theories Without the Rotational Symmetry Assumption," Phys. Rev. Lett. 99, 2104006 (2007).
[CrossRef]

Bell, J. S.

J. S. Bell, "On the Einstein Podolsky Rosen paradox," Physics 1, 195-200 (1964).

Bouwmeester, D.

J-W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter and A. Zeilinger, "Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement," Nature 403, 515-519 (2000).
[CrossRef] [PubMed]

Branciard, C.

C. Branciard, A. Ling, N. Gisin, C. Kurtsiefer, A. Lamas-Linares, and V. Scarani, "Experimental Falsification of Leggett�??s Nonlocal Variable Model," Phys. Rev. Lett. 99, 210407 (2007).
[CrossRef]

Branning, D.

J. R. Torgerson, D. Branning, C. H. Monken, and L. Mandel, "Experimental demonstration of the violation of local realism without Bell inequalities," Phys. Lett. A 204, 323328 (1995).
[CrossRef]

Brendel, J.

W. Tittel, J. Brendel, H. Zbinden, and N. Gisin, "Violation of Bell Inequalities by Photons More Than 10 km Apart," Phys. Rev. Lett. 81, 3563-3566 (1998).
[CrossRef]

Q1. J. Brendel, E. Mohler, and W. Martienssen, "Experimental Test of Bell�??s Inequality for Energy and Time," Eur. Phys. Lett. 20, 575-580 (1993).
[CrossRef]

Brida, G.

G. Brida, M. Genovese, and F. Piacentini, "Experimental local realism tests without fair sampling assumption," Eur. Phys. J. D 44, 577-580 (2007).
[CrossRef]

V. Schettini, S. V. Polyakov, I. P. Degiovanni, G. Brida, S. Castelletto, and A. L. Migdall, "Implementing a Multiplexed System of Detectors for Higher Photon Counting Rates," IEEE J. Sel. Top. Quantum Electron. 13, 978-983 (2007).
[CrossRef]

G. Brida, E. Cagliero, G. Falzetta, M. Genovese, M. Gramegna, and E. Predazzi, "Biphoton double-slit experiment," Phys. Rev. A 68, 033803 (2003).
[CrossRef]

G. Brida, E. Cagliero, G. Falzetta, M. Genovese, M. Gramegna and C. Novero, "Experimental realization of a first test of de BroglieBohm theory," J. Phys. B: At. Mol. Opt. Phys. 35, 4751-4756 (2002).
[CrossRef]

G. Brida, M. Genovese, C. Novero, and E. Predazzi, "A first test of Wigner function local realistic model," Phys. Lett. A 299, 121-124 (2002).
[CrossRef]

G. Brida, M. Genovese, C. Novero, and E. Predazzi, "New experimental test of Bell inequalities by the use of a non-maximally entangled photon state," Phys. Lett. A 268, 12-16 (2000).
[CrossRef]

Brukner, C.

S. Groeblacher, T. Paterek, R. Kaltenbaek, C. Brukner, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, "An experimental test of non-local realism," Nature 446, 871-875 (2007).
[CrossRef]

Bttiker, M.

A. N. Jordan, A. N. Korotkov, and M. Bttiker, "Leggett-Garg Inequality with a Kicked Quantum Pump," Phys. Rev. Lett. 97, 026805 (2006).
[CrossRef] [PubMed]

Cagliero, E.

G. Brida, E. Cagliero, G. Falzetta, M. Genovese, M. Gramegna, and E. Predazzi, "Biphoton double-slit experiment," Phys. Rev. A 68, 033803 (2003).
[CrossRef]

G. Brida, E. Cagliero, G. Falzetta, M. Genovese, M. Gramegna and C. Novero, "Experimental realization of a first test of de BroglieBohm theory," J. Phys. B: At. Mol. Opt. Phys. 35, 4751-4756 (2002).
[CrossRef]

Castelletto, S.

V. Schettini, S. V. Polyakov, I. P. Degiovanni, G. Brida, S. Castelletto, and A. L. Migdall, "Implementing a Multiplexed System of Detectors for Higher Photon Counting Rates," IEEE J. Sel. Top. Quantum Electron. 13, 978-983 (2007).
[CrossRef]

S. Castelletto, I. P. Degiovanni, V. Schettini, and A. Migdall, "Optimizing single-photon-source heralding efficiency and detection efficiency metrology at 1550 nm using periodically poled lithium niobate," Metrologia 43, S56-S60 (2006).
[CrossRef]

Chen, J.

M. D. Eisaman, E. A. Goldschmidt, J. Chen, J. Fan, and A. Migdall, "Experimental test of nonlocal realism using a fiber-based source of polarization-entangled photon pairs," Phys. Rev. A 77, 032339 (2008).
[CrossRef]

Chiao, R. Y.

P. G. Kwiat, W. A. Vareka, C. K. Hong, H. Nathel, and R. Y. Chiao, "Correlated two-photon interference in a dual-beam Michelson interferometer," Phys. Rev. A 41, 2910-2913 (1990).
[CrossRef] [PubMed]

Dalibard, J.

A. Aspect, J. Dalibard, and G. Roger, "Experimental Test of Bell�??s Inequalities Using Time-Varying Analyzers," Phys. Rev. Lett. 49, 1804-1807 (1982).
[CrossRef]

Daniell, M.

J-W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter and A. Zeilinger, "Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement," Nature 403, 515-519 (2000).
[CrossRef] [PubMed]

De Zela, F.

F. De Zela, "Single-qubit tests of Bell-like inequalities," Phys. Rev. A 76, 042119 (2007).
[CrossRef]

Degiovanni, I. P.

V. Schettini, S. V. Polyakov, I. P. Degiovanni, G. Brida, S. Castelletto, and A. L. Migdall, "Implementing a Multiplexed System of Detectors for Higher Photon Counting Rates," IEEE J. Sel. Top. Quantum Electron. 13, 978-983 (2007).
[CrossRef]

S. Castelletto, I. P. Degiovanni, V. Schettini, and A. Migdall, "Optimizing single-photon-source heralding efficiency and detection efficiency metrology at 1550 nm using periodically poled lithium niobate," Metrologia 43, S56-S60 (2006).
[CrossRef]

Einstein, A.

A. Einstein, B. Podolsky, and N. Rosen, "Can quantum-mechanical description of physical reality be considered complete?," Phys. Rev. 47, 777-780 (1935).
[CrossRef]

Eisaman, M. D.

M. D. Eisaman, E. A. Goldschmidt, J. Chen, J. Fan, and A. Migdall, "Experimental test of nonlocal realism using a fiber-based source of polarization-entangled photon pairs," Phys. Rev. A 77, 032339 (2008).
[CrossRef]

Falzetta, G.

G. Brida, E. Cagliero, G. Falzetta, M. Genovese, M. Gramegna, and E. Predazzi, "Biphoton double-slit experiment," Phys. Rev. A 68, 033803 (2003).
[CrossRef]

G. Brida, E. Cagliero, G. Falzetta, M. Genovese, M. Gramegna and C. Novero, "Experimental realization of a first test of de BroglieBohm theory," J. Phys. B: At. Mol. Opt. Phys. 35, 4751-4756 (2002).
[CrossRef]

Fan, J.

M. D. Eisaman, E. A. Goldschmidt, J. Chen, J. Fan, and A. Migdall, "Experimental test of nonlocal realism using a fiber-based source of polarization-entangled photon pairs," Phys. Rev. A 77, 032339 (2008).
[CrossRef]

Fedrizzi, A.

T. Paterek, A. Fedrizzi, S. Groblacher, T. Jennewein, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, "Experimental Test of Nonlocal Realistic Theories Without the Rotational Symmetry Assumption," Phys. Rev. Lett. 99, 2104006 (2007).
[CrossRef]

Fine, A.

J. D. Malley, A. Fine, "Noncomuting observables and local realism," Phys. Lett. A 347, 51 (2005).
[CrossRef]

Franson, J. P.

J. P. Franson, "Bell inequality for position and time," Phys. Rev. Lett. 62, 2205-2208 (1989).
[CrossRef] [PubMed]

Genovese, M.

G. Brida, M. Genovese, and F. Piacentini, "Experimental local realism tests without fair sampling assumption," Eur. Phys. J. D 44, 577-580 (2007).
[CrossRef]

M. Genovese, "Research on hidden variable theories: A review of recent progresses," Phys. Rep. 413, 319-396 (2005).
[CrossRef]

G. Brida, E. Cagliero, G. Falzetta, M. Genovese, M. Gramegna, and E. Predazzi, "Biphoton double-slit experiment," Phys. Rev. A 68, 033803 (2003).
[CrossRef]

G. Brida, E. Cagliero, G. Falzetta, M. Genovese, M. Gramegna and C. Novero, "Experimental realization of a first test of de BroglieBohm theory," J. Phys. B: At. Mol. Opt. Phys. 35, 4751-4756 (2002).
[CrossRef]

G. Brida, M. Genovese, C. Novero, and E. Predazzi, "A first test of Wigner function local realistic model," Phys. Lett. A 299, 121-124 (2002).
[CrossRef]

G. Brida, M. Genovese, C. Novero, and E. Predazzi, "New experimental test of Bell inequalities by the use of a non-maximally entangled photon state," Phys. Lett. A 268, 12-16 (2000).
[CrossRef]

Gisin, N.

C. Branciard, A. Ling, N. Gisin, C. Kurtsiefer, A. Lamas-Linares, and V. Scarani, "Experimental Falsification of Leggett�??s Nonlocal Variable Model," Phys. Rev. Lett. 99, 210407 (2007).
[CrossRef]

W. Tittel, J. Brendel, H. Zbinden, and N. Gisin, "Violation of Bell Inequalities by Photons More Than 10 km Apart," Phys. Rev. Lett. 81, 3563-3566 (1998).
[CrossRef]

Goldschmidt, E. A.

M. D. Eisaman, E. A. Goldschmidt, J. Chen, J. Fan, and A. Migdall, "Experimental test of nonlocal realism using a fiber-based source of polarization-entangled photon pairs," Phys. Rev. A 77, 032339 (2008).
[CrossRef]

Gramegna, M.

G. Brida, E. Cagliero, G. Falzetta, M. Genovese, M. Gramegna, and E. Predazzi, "Biphoton double-slit experiment," Phys. Rev. A 68, 033803 (2003).
[CrossRef]

G. Brida, E. Cagliero, G. Falzetta, M. Genovese, M. Gramegna and C. Novero, "Experimental realization of a first test of de BroglieBohm theory," J. Phys. B: At. Mol. Opt. Phys. 35, 4751-4756 (2002).
[CrossRef]

Grangier, P.

P. Grangier, G. Roger, and A. Aspect, "Experimental evidence for a photon anticorrelation effect on a beam splitter: a new light on single-photon interferences," Europhys. Lett. 11, 173-179 (1986).
[CrossRef]

Groblacher, S.

T. Paterek, A. Fedrizzi, S. Groblacher, T. Jennewein, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, "Experimental Test of Nonlocal Realistic Theories Without the Rotational Symmetry Assumption," Phys. Rev. Lett. 99, 2104006 (2007).
[CrossRef]

Groeblacher, S.

S. Groeblacher, T. Paterek, R. Kaltenbaek, C. Brukner, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, "An experimental test of non-local realism," Nature 446, 871-875 (2007).
[CrossRef]

Hong, C. K.

P. G. Kwiat, W. A. Vareka, C. K. Hong, H. Nathel, and R. Y. Chiao, "Correlated two-photon interference in a dual-beam Michelson interferometer," Phys. Rev. A 41, 2910-2913 (1990).
[CrossRef] [PubMed]

Itano, W. M.

M. A. Rowe, D. Kielpinski, V. Meyer, C. A. Scakett, W. M. Itano, C. Monroe, and D. J. Wineland, "Experimental violation of a Bell�??s inequality with efficient detection," Nature 409, 791-794 (2001).
[CrossRef] [PubMed]

Jennewein, T.

T. Paterek, A. Fedrizzi, S. Groblacher, T. Jennewein, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, "Experimental Test of Nonlocal Realistic Theories Without the Rotational Symmetry Assumption," Phys. Rev. Lett. 99, 2104006 (2007).
[CrossRef]

G. Weihs, T. Jennewein, C. Simon, H. Weinfurter, and A. Zeilinger, "Violation of Bell�??s Inequality under Strict Einstein Locality Conditions," Phys. Rev. Lett. 81, 5039-5043 (1998).
[CrossRef]

Jordan, A. N.

A. N. Jordan, A. N. Korotkov, and M. Bttiker, "Leggett-Garg Inequality with a Kicked Quantum Pump," Phys. Rev. Lett. 97, 026805 (2006).
[CrossRef] [PubMed]

Kaltenbaek, R.

S. Groeblacher, T. Paterek, R. Kaltenbaek, C. Brukner, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, "An experimental test of non-local realism," Nature 446, 871-875 (2007).
[CrossRef]

Kielpinski, D.

M. A. Rowe, D. Kielpinski, V. Meyer, C. A. Scakett, W. M. Itano, C. Monroe, and D. J. Wineland, "Experimental violation of a Bell�??s inequality with efficient detection," Nature 409, 791-794 (2001).
[CrossRef] [PubMed]

Kiess, T. E.

T. E. Kiess, Y. H. Shih, A. V. Sergienko, and C. O. Alley, "Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by type-II parametric down-conversion," Phys. Rev. Lett. 71, 3893-3897 (1993).
[CrossRef] [PubMed]

Korotkov, A. N.

A. N. Jordan, A. N. Korotkov, and M. Bttiker, "Leggett-Garg Inequality with a Kicked Quantum Pump," Phys. Rev. Lett. 97, 026805 (2006).
[CrossRef] [PubMed]

R. Ruskov, A. N. Korotkov, and A. Mizel, "Signatures of Quantum Behavior in Single-Qubit Weak Measurements," Phys. Rev. Lett. 96, 200404 (2006).
[CrossRef] [PubMed]

Kurtsiefer, C.

C. Branciard, A. Ling, N. Gisin, C. Kurtsiefer, A. Lamas-Linares, and V. Scarani, "Experimental Falsification of Leggett�??s Nonlocal Variable Model," Phys. Rev. Lett. 99, 210407 (2007).
[CrossRef]

Kwiat, P. G.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, "New High-Intensity Source of Polarization-Entangled Photon Pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
[CrossRef] [PubMed]

P. G. Kwiat, W. A. Vareka, C. K. Hong, H. Nathel, and R. Y. Chiao, "Correlated two-photon interference in a dual-beam Michelson interferometer," Phys. Rev. A 41, 2910-2913 (1990).
[CrossRef] [PubMed]

Lamas-Linares, A.

C. Branciard, A. Ling, N. Gisin, C. Kurtsiefer, A. Lamas-Linares, and V. Scarani, "Experimental Falsification of Leggett�??s Nonlocal Variable Model," Phys. Rev. Lett. 99, 210407 (2007).
[CrossRef]

Lapiedra, R.

R. Lapiedra, "Joint reality and Bell inequalities for consecutive measurements," Eur. Phys. Lett. 75, 202-208 (2006).
[CrossRef]

Leggett, A.

A. Leggett, "Nonlocal Hidden-Variable Theories and Quantum Mechanics: An Incompatibility Theorem," Found. Phys. 33, 1469-1493 (2003).
[CrossRef]

Ling, A.

C. Branciard, A. Ling, N. Gisin, C. Kurtsiefer, A. Lamas-Linares, and V. Scarani, "Experimental Falsification of Leggett�??s Nonlocal Variable Model," Phys. Rev. Lett. 99, 210407 (2007).
[CrossRef]

Malley, J. D.

J. D. Malley, A. Fine, "Noncomuting observables and local realism," Phys. Lett. A 347, 51 (2005).
[CrossRef]

Mandel, L.

J. R. Torgerson, D. Branning, C. H. Monken, and L. Mandel, "Experimental demonstration of the violation of local realism without Bell inequalities," Phys. Lett. A 204, 323328 (1995).
[CrossRef]

Z. J. Ou and L. Mandel, "Violation of Bell�??s Inequality and Classical Probability in a Two-Photon Correlation Experiment," Phys. Rev. Lett. 61, 50-53 (1988).
[CrossRef] [PubMed]

Martienssen, W.

Q1. J. Brendel, E. Mohler, and W. Martienssen, "Experimental Test of Bell�??s Inequality for Energy and Time," Eur. Phys. Lett. 20, 575-580 (1993).
[CrossRef]

Mattle, K.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, "New High-Intensity Source of Polarization-Entangled Photon Pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
[CrossRef] [PubMed]

Meyer, V.

M. A. Rowe, D. Kielpinski, V. Meyer, C. A. Scakett, W. M. Itano, C. Monroe, and D. J. Wineland, "Experimental violation of a Bell�??s inequality with efficient detection," Nature 409, 791-794 (2001).
[CrossRef] [PubMed]

Migdall, A.

M. D. Eisaman, E. A. Goldschmidt, J. Chen, J. Fan, and A. Migdall, "Experimental test of nonlocal realism using a fiber-based source of polarization-entangled photon pairs," Phys. Rev. A 77, 032339 (2008).
[CrossRef]

S. Castelletto, I. P. Degiovanni, V. Schettini, and A. Migdall, "Optimizing single-photon-source heralding efficiency and detection efficiency metrology at 1550 nm using periodically poled lithium niobate," Metrologia 43, S56-S60 (2006).
[CrossRef]

Migdall, A. L.

V. Schettini, S. V. Polyakov, I. P. Degiovanni, G. Brida, S. Castelletto, and A. L. Migdall, "Implementing a Multiplexed System of Detectors for Higher Photon Counting Rates," IEEE J. Sel. Top. Quantum Electron. 13, 978-983 (2007).
[CrossRef]

Mizel, A.

R. Ruskov, A. N. Korotkov, and A. Mizel, "Signatures of Quantum Behavior in Single-Qubit Weak Measurements," Phys. Rev. Lett. 96, 200404 (2006).
[CrossRef] [PubMed]

Mohler, E.

Q1. J. Brendel, E. Mohler, and W. Martienssen, "Experimental Test of Bell�??s Inequality for Energy and Time," Eur. Phys. Lett. 20, 575-580 (1993).
[CrossRef]

Monken, C. H.

J. R. Torgerson, D. Branning, C. H. Monken, and L. Mandel, "Experimental demonstration of the violation of local realism without Bell inequalities," Phys. Lett. A 204, 323328 (1995).
[CrossRef]

Monroe, C.

M. A. Rowe, D. Kielpinski, V. Meyer, C. A. Scakett, W. M. Itano, C. Monroe, and D. J. Wineland, "Experimental violation of a Bell�??s inequality with efficient detection," Nature 409, 791-794 (2001).
[CrossRef] [PubMed]

Nathel, H.

P. G. Kwiat, W. A. Vareka, C. K. Hong, H. Nathel, and R. Y. Chiao, "Correlated two-photon interference in a dual-beam Michelson interferometer," Phys. Rev. A 41, 2910-2913 (1990).
[CrossRef] [PubMed]

Novero, C.

G. Brida, E. Cagliero, G. Falzetta, M. Genovese, M. Gramegna and C. Novero, "Experimental realization of a first test of de BroglieBohm theory," J. Phys. B: At. Mol. Opt. Phys. 35, 4751-4756 (2002).
[CrossRef]

G. Brida, M. Genovese, C. Novero, and E. Predazzi, "A first test of Wigner function local realistic model," Phys. Lett. A 299, 121-124 (2002).
[CrossRef]

G. Brida, M. Genovese, C. Novero, and E. Predazzi, "New experimental test of Bell inequalities by the use of a non-maximally entangled photon state," Phys. Lett. A 268, 12-16 (2000).
[CrossRef]

Ou, Z. J.

Z. J. Ou and L. Mandel, "Violation of Bell�??s Inequality and Classical Probability in a Two-Photon Correlation Experiment," Phys. Rev. Lett. 61, 50-53 (1988).
[CrossRef] [PubMed]

Pan, J-W.

J-W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter and A. Zeilinger, "Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement," Nature 403, 515-519 (2000).
[CrossRef] [PubMed]

Paterek, T.

S. Groeblacher, T. Paterek, R. Kaltenbaek, C. Brukner, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, "An experimental test of non-local realism," Nature 446, 871-875 (2007).
[CrossRef]

T. Paterek, A. Fedrizzi, S. Groblacher, T. Jennewein, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, "Experimental Test of Nonlocal Realistic Theories Without the Rotational Symmetry Assumption," Phys. Rev. Lett. 99, 2104006 (2007).
[CrossRef]

Piacentini, F.

G. Brida, M. Genovese, and F. Piacentini, "Experimental local realism tests without fair sampling assumption," Eur. Phys. J. D 44, 577-580 (2007).
[CrossRef]

Podolsky, B.

A. Einstein, B. Podolsky, and N. Rosen, "Can quantum-mechanical description of physical reality be considered complete?," Phys. Rev. 47, 777-780 (1935).
[CrossRef]

Polyakov, S. V.

V. Schettini, S. V. Polyakov, I. P. Degiovanni, G. Brida, S. Castelletto, and A. L. Migdall, "Implementing a Multiplexed System of Detectors for Higher Photon Counting Rates," IEEE J. Sel. Top. Quantum Electron. 13, 978-983 (2007).
[CrossRef]

Predazzi, E.

G. Brida, E. Cagliero, G. Falzetta, M. Genovese, M. Gramegna, and E. Predazzi, "Biphoton double-slit experiment," Phys. Rev. A 68, 033803 (2003).
[CrossRef]

G. Brida, M. Genovese, C. Novero, and E. Predazzi, "A first test of Wigner function local realistic model," Phys. Lett. A 299, 121-124 (2002).
[CrossRef]

G. Brida, M. Genovese, C. Novero, and E. Predazzi, "New experimental test of Bell inequalities by the use of a non-maximally entangled photon state," Phys. Lett. A 268, 12-16 (2000).
[CrossRef]

Rarity, J. G.

J. G. Rarity and P. R. Tapster, "Experimental violation of Bells inequality based on phase and momentum," Phys. Rev. Lett. 64, 2495-2498 (1990).
[CrossRef] [PubMed]

Roger, G.

P. Grangier, G. Roger, and A. Aspect, "Experimental evidence for a photon anticorrelation effect on a beam splitter: a new light on single-photon interferences," Europhys. Lett. 11, 173-179 (1986).
[CrossRef]

A. Aspect, J. Dalibard, and G. Roger, "Experimental Test of Bell�??s Inequalities Using Time-Varying Analyzers," Phys. Rev. Lett. 49, 1804-1807 (1982).
[CrossRef]

Rosen, N.

A. Einstein, B. Podolsky, and N. Rosen, "Can quantum-mechanical description of physical reality be considered complete?," Phys. Rev. 47, 777-780 (1935).
[CrossRef]

Rowe, M. A.

M. A. Rowe, D. Kielpinski, V. Meyer, C. A. Scakett, W. M. Itano, C. Monroe, and D. J. Wineland, "Experimental violation of a Bell�??s inequality with efficient detection," Nature 409, 791-794 (2001).
[CrossRef] [PubMed]

Rubin, M. H.

Y. H. Shih, A. V. Sergienko, and M. H. Rubin, "Einstein-Podolsky-Rosen state for space-time variables in a two-photon interference experiment," Phys. Rev. A 47, 1288-1293 (1993).
[CrossRef] [PubMed]

Ruskov, R.

R. Ruskov, A. N. Korotkov, and A. Mizel, "Signatures of Quantum Behavior in Single-Qubit Weak Measurements," Phys. Rev. Lett. 96, 200404 (2006).
[CrossRef] [PubMed]

Scakett, C. A.

M. A. Rowe, D. Kielpinski, V. Meyer, C. A. Scakett, W. M. Itano, C. Monroe, and D. J. Wineland, "Experimental violation of a Bell�??s inequality with efficient detection," Nature 409, 791-794 (2001).
[CrossRef] [PubMed]

Scarani, V.

C. Branciard, A. Ling, N. Gisin, C. Kurtsiefer, A. Lamas-Linares, and V. Scarani, "Experimental Falsification of Leggett�??s Nonlocal Variable Model," Phys. Rev. Lett. 99, 210407 (2007).
[CrossRef]

Schettini, V.

V. Schettini, S. V. Polyakov, I. P. Degiovanni, G. Brida, S. Castelletto, and A. L. Migdall, "Implementing a Multiplexed System of Detectors for Higher Photon Counting Rates," IEEE J. Sel. Top. Quantum Electron. 13, 978-983 (2007).
[CrossRef]

S. Castelletto, I. P. Degiovanni, V. Schettini, and A. Migdall, "Optimizing single-photon-source heralding efficiency and detection efficiency metrology at 1550 nm using periodically poled lithium niobate," Metrologia 43, S56-S60 (2006).
[CrossRef]

Sergienko, A. V.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, "New High-Intensity Source of Polarization-Entangled Photon Pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
[CrossRef] [PubMed]

T. E. Kiess, Y. H. Shih, A. V. Sergienko, and C. O. Alley, "Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by type-II parametric down-conversion," Phys. Rev. Lett. 71, 3893-3897 (1993).
[CrossRef] [PubMed]

Y. H. Shih, A. V. Sergienko, and M. H. Rubin, "Einstein-Podolsky-Rosen state for space-time variables in a two-photon interference experiment," Phys. Rev. A 47, 1288-1293 (1993).
[CrossRef] [PubMed]

Shih, Y.

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, "New High-Intensity Source of Polarization-Entangled Photon Pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
[CrossRef] [PubMed]

Shih, Y. H.

Y. H. Shih, A. V. Sergienko, and M. H. Rubin, "Einstein-Podolsky-Rosen state for space-time variables in a two-photon interference experiment," Phys. Rev. A 47, 1288-1293 (1993).
[CrossRef] [PubMed]

T. E. Kiess, Y. H. Shih, A. V. Sergienko, and C. O. Alley, "Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by type-II parametric down-conversion," Phys. Rev. Lett. 71, 3893-3897 (1993).
[CrossRef] [PubMed]

Simon, C.

G. Weihs, T. Jennewein, C. Simon, H. Weinfurter, and A. Zeilinger, "Violation of Bell�??s Inequality under Strict Einstein Locality Conditions," Phys. Rev. Lett. 81, 5039-5043 (1998).
[CrossRef]

Tapster, P. R.

J. G. Rarity and P. R. Tapster, "Experimental violation of Bells inequality based on phase and momentum," Phys. Rev. Lett. 64, 2495-2498 (1990).
[CrossRef] [PubMed]

Tittel, W.

W. Tittel, J. Brendel, H. Zbinden, and N. Gisin, "Violation of Bell Inequalities by Photons More Than 10 km Apart," Phys. Rev. Lett. 81, 3563-3566 (1998).
[CrossRef]

Torgerson, J. R.

J. R. Torgerson, D. Branning, C. H. Monken, and L. Mandel, "Experimental demonstration of the violation of local realism without Bell inequalities," Phys. Lett. A 204, 323328 (1995).
[CrossRef]

Van Ryn, N.

R. Alicki and N. Van Ryn, "A simple test of quantumness for a single system," J. Phys. A: Math. Theor.  41, 062001 (2008).
[CrossRef]

Vareka, W. A.

P. G. Kwiat, W. A. Vareka, C. K. Hong, H. Nathel, and R. Y. Chiao, "Correlated two-photon interference in a dual-beam Michelson interferometer," Phys. Rev. A 41, 2910-2913 (1990).
[CrossRef] [PubMed]

Weihs, G.

G. Weihs, T. Jennewein, C. Simon, H. Weinfurter, and A. Zeilinger, "Violation of Bell�??s Inequality under Strict Einstein Locality Conditions," Phys. Rev. Lett. 81, 5039-5043 (1998).
[CrossRef]

Weinfurter, H.

J-W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter and A. Zeilinger, "Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement," Nature 403, 515-519 (2000).
[CrossRef] [PubMed]

G. Weihs, T. Jennewein, C. Simon, H. Weinfurter, and A. Zeilinger, "Violation of Bell�??s Inequality under Strict Einstein Locality Conditions," Phys. Rev. Lett. 81, 5039-5043 (1998).
[CrossRef]

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, "New High-Intensity Source of Polarization-Entangled Photon Pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
[CrossRef] [PubMed]

Wineland, D. J.

M. A. Rowe, D. Kielpinski, V. Meyer, C. A. Scakett, W. M. Itano, C. Monroe, and D. J. Wineland, "Experimental violation of a Bell�??s inequality with efficient detection," Nature 409, 791-794 (2001).
[CrossRef] [PubMed]

Zbinden, H.

W. Tittel, J. Brendel, H. Zbinden, and N. Gisin, "Violation of Bell Inequalities by Photons More Than 10 km Apart," Phys. Rev. Lett. 81, 3563-3566 (1998).
[CrossRef]

Zeilinger, A.

S. Groeblacher, T. Paterek, R. Kaltenbaek, C. Brukner, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, "An experimental test of non-local realism," Nature 446, 871-875 (2007).
[CrossRef]

T. Paterek, A. Fedrizzi, S. Groblacher, T. Jennewein, M. Zukowski, M. Aspelmeyer, and A. Zeilinger, "Experimental Test of Nonlocal Realistic Theories Without the Rotational Symmetry Assumption," Phys. Rev. Lett. 99, 2104006 (2007).
[CrossRef]

J-W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter and A. Zeilinger, "Experimental test of quantum nonlocality in three-photon Greenberger-Horne-Zeilinger entanglement," Nature 403, 515-519 (2000).
[CrossRef] [PubMed]

G. Weihs, T. Jennewein, C. Simon, H. Weinfurter, and A. Zeilinger, "Violation of Bell�??s Inequality under Strict Einstein Locality Conditions," Phys. Rev. Lett. 81, 5039-5043 (1998).
[CrossRef]

P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, "New High-Intensity Source of Polarization-Entangled Photon Pairs," Phys. Rev. Lett. 75, 4337-4341 (1995).
[CrossRef] [PubMed]

Zukowski, M.

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Physics (1)

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Other (4)

This follows from C*-algebra theory as well as [29].

A study to fully identify such a class and possibility of its expansion via additional measurements is underway.

G. Auletta, Foundations and Interpretation of Quantum Mechanics (World Scientific, Singapore, 2000).
[CrossRef]

We note that while this test could have been setup using a more conventional component for the variable beamsplitter than the optical switch, it was used in this case because it served the purpose and was already in place from an earlier experiment.

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Figures (2)

Fig. 1.
Fig. 1.

Experimental setup. A PDC heralded single-photon source generates pairs of photons at 810 nm (heralding) and 1550 nm (heralded) in a PPLN crystal pumped by a 532 nm laser. The heralded photons are sent to the measurement apparatus designed to evaluate the observables 〈Â〉, 〈Â 2〉, 〈B̂〉, and 〈B̂2〉.

Fig. 2.
Fig. 2.

Typical correlation between the detection of heralding and heralded photons, showing the coincidences peak due to heralded counts (true coincidences) and the uniformly distributed accidental coincidences. InGaAs-SPAD gate time was approximately 20 ns.

Tables (2)

Tables Icon

Table 1. Measurement results with statistical and total uncertainties and theoretical pre-dictions. The total uncertainty (in parentheses) accounts for both statistical and systematic effects.

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Table 2. Two-photon characterization of single-photon source, Poisson source and our source without and with background subtraction.

Equations (16)

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

0 A ( x ) B ( x )
A 2 A 2 ( x ) ρ ( x ) dx B 2 ( x ) ρ ( x ) dx B 2 .
0 A ̂ B ̂ .
A ̂ 2 B ̂ 2 ,
A ̂ 2 > B ̂ 2 .
A ̂ = a 0 P ̂ α
B ̂ = b 0 [ p 1 P ̂ β + ( 1 p 1 ) P ̂ β + π 2 ] ,
B ̂ 2 = b 0 2 1 2 ( 1 p 2 ) p 2 ( 1 2 p 2 ) 2 [ p 2 P ̂ β + ( 1 p 2 ) P ̂ β + π 2 ] ,
d _ 1 2 { b 0 a 0 a 0 2 + b 0 2 ( 1 2 p 1 ) 2 + 2 a 0 b 0 ( 1 2 p 1 ) cos [ 2 ( α β ) ] } .
η i ( θ , p ) = N i ( θ , p ) M g , i ,
[ P ̂ ( θ ) ] = i η i ( θ , p ) i [ η i ( θ , p ) + η i ( θ + π 2 , p ) ] ,
( p ) = i [ η i ( θ , p ) + η i ( θ + π 2 , p ) ] i [ η i ( θ , p ) + η i ( θ , 1 p ) + η i ( θ + π 2 , p ) + η i ( θ + π 2 , 1 p ) ] .
Q ( 1 n ) = m = 0 n [ 1 ( 1 τ ) m ] B ( m n ; p ) =
= 1 ( 1 - p τ ) n ,
Q ( 2 n ) = m = 0 n [ 1 ( 1 τ ) m ] [ 1 ( 1 τ ) n m ] B ( m n ; p )
= 1 ( 1 p τ ) n [ 1 ( 1 p ) τ ] n + ( 1 τ ) n .

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