Proposed Experimental Tests of the Bell-Kochen-Specker Theorem

For a two-particle two-state system, sets of compatible propositions exist for which quantum mechanics and noncontextual hidden-variable theories make conflicting predictions for every individual system whatever its quantum state. This permits a simple all-or-nothing state-independent experimental verification of the Bell-Kochen-Specker theorem.

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

[2]  J. Bell.  On the Problem of Hidden Variables in Quantum Mechanics , 1966 .

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

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

[5]  M. Kernaghan.  Bell-Kochen-Specker theorem for 20 vectors , 1994 .

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

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

[8]  Mann,et al.  Measurement of the Bell operator and quantum teleportation. , 1995, Physical review. A, Atomic, molecular, and optical physics.

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

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

[11]  N. Mermin.  Quantum theory: Concepts and methods , 1997 .

[12]  Algebraic constraints on hidden variables , 1978 .

[13]  Albert Einstein,et al.  Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? , 1935 .

[14]  Mann,et al.  Maximal violation of Bell inequalities for mixed states. , 1992, Physical review letters.

[15]  PREPARATION OF THE BELL OPERATOR BASIS THROUGH A RESTRICTED MULTIPLYING DEVICE , 1997 .

[16]  Franco Selleri,et al.  Quantum mechanics versus local realism : the Einstein-Podolsky-Rosen paradox , 1988 .

[17]  Marek Żukowski,et al.  Realizable higher-dimensional two-particle entanglements via multiport beam splitters , 1997 .

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

[19]  Cirac,et al.  Schemes for atomic-state teleportation. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[20]  Kochen-Specker theorem for eight-dimensional space , 1994, quant-ph/9412006.

[21]  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.

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

[23]  L. Ballentine,et al.  Quantum Theory: Concepts and Methods , 1994 .

[24]  John von Neumann,et al.  Uber Funktionen Von Funktionaloperatoren , 1931 .

[25]  Mann,et al.  Erratum: Measurement of the Bell operator and quantum teleportation , 1996, Physical review. A, Atomic, molecular, and optical physics.

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

[27]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[28]  Asher Peres,et al.  Two simple proofs of the Kochen-Specker theorem , 1991 .