Experimental test of the Kochen-Specker theorem with single photons.

Using the spontaneous parametric down-conversion process in a type-I phase matching beta-barium-borate crystal as a single photon source, we perform an all-or-nothing-type Kochen-Specker experiment proposed by Simon et al. [Phys. Rev. Lett. 85, 1783 (2000)]] to verify whether noncontextual hidden variables or quantum mechanics is right. The results strongly agree with quantum mechanics.

[1]  H. Weinfurter,et al.  Violation of Bell's Inequality under Strict Einstein Locality Conditions , 1998, quant-ph/9810080.

[2]  A. Peres.  Incompatible results of quantum measurements , 1990 .

[3]  Weinfurter,et al.  Experiments towards falsification of noncontextual hidden variable theories , 2000, Physical review letters.

[4]  Adán Cabello,et al.  Bell - Kochen - Specker theorem for any finite dimension , 1996 .

[5]  New variants of the Bell-Kochen-Specker theorem , 1996, quant-ph/9706010.

[6]  A Zeilinger,et al.  Hidden-variable theorems for real experiments. , 2001, Physical review letters.

[7]  A. Kent.  Noncontextual Hidden Variables and Physical Measurements , 1999, quant-ph/9906006.

[8]  C. Monroe,et al.  Experimental violation of a Bell's inequality with efficient detection , 2001, Nature.

[9]  Adan Cabello,et al.  Proposed Experimental Tests of the Bell-Kochen-Specker Theorem , 1998 .

[10]  G. Roger,et al.  Experimental Test of Bell's Inequalities Using Time- Varying Analyzers , 1982 .

[11]  N. Mermin.  Hidden variables and the two theorems of John Bell , 1993, 1802.10119.

[12]  Adan Cabello,et al.  Finite-precision measurement does not nullify the Kochen-Specker theorem , 2001, quant-ph/0104024.

[13]  Shih,et al.  New high-intensity source of polarization-entangled photon pairs. , 1995, Physical review letters.

[14]  A Cabello.  "All versus nothing" inseparability for two observers. , 2001, Physical review letters.

[15]  J. Bell.  On the Einstein-Podolsky-Rosen paradox , 1964 .

[16]  D. Meyer.  Finite Precision Measurement Nullifies the Kochen-Specker Theorem , 1999, quant-ph/9905080.

[17]  Mermin Nd.  Simple unified form for the major no-hidden-variables theorems. , 1990 .

[18]  H. Weinfurter,et al.  Experimental test of quantum nonlocality in three-photon Greenberger–Horne–Zeilinger entanglement , 2000, Nature.

[19]  Shih,et al.  New type of Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by optical parametric down conversion. , 1988, Physical review letters.

[20]  A. Cabello,et al.  Bell-Kochen-Specker theorem: A proof with 18 vectors , 1996, quant-ph/9706009.

[21]  J. Rarity,et al.  Experimental violation of Bell's inequality based on phase and momentum. , 1990, Physical review letters.

[22]  Weinfurter,et al.  Feasible "Kochen-Specker" experiment with single particles , 2000, Physical review letters.