dorsal/arxiv
View SchemaBell's Inequality Violation (BIQV) with Non-Negative Wigner Function
| Authors | M. Revzen, P. A. Mello, A. Mann, L. M. Johansen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405100 |
| URL | https://arxiv.org/abs/quant-ph/0405100 |
| DOI | 10.1103/PhysRevA.71.022103 |
Abstract
A Bell inequality violation (BIQV) allowed by the two-mode squeezed state (TMSS), whose Wigner function is nonnegative, is shown to hold only for correlations among dynamical variables (DV) that cannot be interpreted via a local hidden variable (LHV) theory. Explicit calculations and interpretation are given for Bell's suggestion that the EPR (Einstein, Podolsky and Rosen) state will not allow for BIQV in conjuction with its Wigner representative state being nonnegative. It is argued that Bell's theorem disallowing the violation of Bell's inequality within a local hidden-variable theory depends on the DV's having a definite value --assigned by the LHV-- even when they cannot be simultaneously measured. The analysis leads us to conclude that BIQV is to be associated with endowing these definite values to the DV's and {\it not} with their locality attributes.
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"abstract": "A Bell inequality violation (BIQV) allowed by the two-mode squeezed state\n(TMSS), whose Wigner function is nonnegative, is shown to hold only for\ncorrelations among dynamical variables (DV) that cannot be interpreted via a\nlocal hidden variable (LHV) theory. Explicit calculations and interpretation\nare given for Bell\u0027s suggestion that the EPR (Einstein, Podolsky and Rosen)\nstate will not allow for BIQV in conjuction with its Wigner representative\nstate being nonnegative.\n It is argued that Bell\u0027s theorem disallowing the violation of Bell\u0027s\ninequality within a local hidden-variable theory depends on the DV\u0027s having a\ndefinite value --assigned by the LHV-- even when they cannot be simultaneously\nmeasured. The analysis leads us to conclude that BIQV is to be associated with\nendowing these definite values to the DV\u0027s and {\\it not} with their locality\nattributes.",
"arxiv_id": "quant-ph/0405100",
"authors": [
"M. Revzen",
"P. A. Mello",
"A. Mann",
"L. M. Johansen"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.022103",
"title": "Bell\u0027s Inequality Violation (BIQV) with Non-Negative Wigner Function",
"url": "https://arxiv.org/abs/quant-ph/0405100"
},
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