Koji Nagata 2008 J. Phys. A: Math. Theor. 41 155308 doi:10.1088/1751-8113/41/15/155308
Classification of local realistic theories
Koji Nagata
Show affiliationsRecently, it has been shown that an explicit local realistic model for the values of a correlation function, given in a two-setting Bell experiment (two-setting model), works only for the specific set of settings in the given experiment, but cannot construct a local realistic model for the values of a correlation function, given in a continuous-infinite settings Bell experiment (infinite-setting model), even though there exist two-setting models for all directions in space. Hence, the two-setting model does not have the property which the infinite-setting model has. Here, we show that an explicit two-setting model cannot construct a local realistic model for the values of a correlation function, given in an only discrete-three settings Bell experiment (three-setting model), even though there exist two-setting models for the three measurement directions chosen in the given three-setting experiment. Hence, the two-setting model does not have the property which the three-setting model has.
- PACS
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03.67.Lx Quantum computation architectures and implementations
03.65.Ta Foundations of quantum mechanics; measurement theory
- MSC
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81P15 Quantum measurement theory
81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)
- Subjects
- Dates
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Issue 15 (18 April 2008)
Received 20 December 2007, in final form 13 February 2008
Published 2 April 2008
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Classification of local realistic theories
Koji Nagata 2008 J. Phys. A: Math. Theor. 41 155308
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