dorsal/arxiv
View SchemaOptimization of Bell's Inequality Violation For Continuous Variable Systems
| Authors | G. Gour, F. C. Khanna, A. Mann, M. Revzen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308063 |
| URL | https://arxiv.org/abs/quant-ph/0308063 |
| DOI | 10.1016/j.physleta.2004.03.018 |
| Journal | Phys. Lett. A. Vol. 324/5-6 pp 415-419 (2004). |
Abstract
Two mode squeezed vacuum states allow Bell's inequality violation (BIQV) for all non-vanishing squeezing parameter $(\zeta)$. Maximal violation occurs at $\zeta \to \infty$ when the parity of either component averages to zero. For a given entangled {\it two spin} system BIQV is optimized via orientations of the operators entering the Bell operator (cf. S. L. Braunstein, A. Mann and M. Revzen: Phys. Rev. Lett. {\bf68}, 3259 (1992)). We show that for finite $\zeta$ in continuous variable systems (and in general whenever the dimensionality of the subsystems is greater than 2) additional parameters are present for optimizing BIQV. Thus the expectation value of the Bell operator depends, in addition to the orientation parameters, on configuration parameters. Optimization of these configurational parameters leads to a unique maximal BIQV that depends only on $\zeta.$ The configurational parameter variation is used to show that BIQV relation to entanglement is, even for pure state, not monotonic.
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"abstract": "Two mode squeezed vacuum states allow Bell\u0027s inequality violation (BIQV) for\nall non-vanishing squeezing parameter $(\\zeta)$. Maximal violation occurs at\n$\\zeta \\to \\infty$ when the parity of either component averages to zero. For a\ngiven entangled {\\it two spin} system BIQV is optimized via orientations of the\noperators entering the Bell operator (cf. S. L. Braunstein, A. Mann and M.\nRevzen: Phys. Rev. Lett. {\\bf68}, 3259 (1992)). We show that for finite $\\zeta$\nin continuous variable systems (and in general whenever the dimensionality of\nthe subsystems is greater than 2) additional parameters are present for\noptimizing BIQV. Thus the expectation value of the Bell operator depends, in\naddition to the orientation parameters, on configuration parameters.\nOptimization of these configurational parameters leads to a unique maximal BIQV\nthat depends only on $\\zeta.$ The configurational parameter variation is used\nto show that BIQV relation to entanglement is, even for pure state, not\nmonotonic.",
"arxiv_id": "quant-ph/0308063",
"authors": [
"G. Gour",
"F. C. Khanna",
"A. Mann",
"M. Revzen"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2004.03.018",
"journal_ref": "Phys. Lett. A. Vol. 324/5-6 pp 415-419 (2004).",
"title": "Optimization of Bell\u0027s Inequality Violation For Continuous Variable Systems",
"url": "https://arxiv.org/abs/quant-ph/0308063"
},
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