dorsal/arxiv
View SchemaDirect measurement of optical quasidistribution functions: multimode theory and homodyne tests of Bell's inequalities
| Authors | Konrad Banaszek, Andrzej Dragan, Krzysztof Wodkiewicz, Czeslaw Radzewicz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204103 |
| URL | https://arxiv.org/abs/quant-ph/0204103 |
| DOI | 10.1103/PhysRevA.66.043803 |
| Journal | Phys. Rev. A 66, 043803 (2002) |
Abstract
We develop a multimode theory of direct homodyne measurements of quantum optical quasidistribution functions. We demonstrate that unbalanced homodyning with appropriately shaped auxiliary coherent fields allows one to sample point-by-point different phase space representations of the electromagnetic field. Our analysis includes practical factors that are likely to affect the outcome of a realistic experiment, such as non-unit detection efficiency, imperfect mode matching, and dark counts. We apply the developed theory to discuss feasibility of observing a loophole-free violation of Bell's inequalities by measuring joint two-mode quasidistribution functions under locality conditions by photon counting. We determine the range of parameters of the experimental setup that enable violation of Bell's inequalities for two states exhibiting entanglement in the Fock basis: a one-photon Fock state divided by a 50:50 beam splitter, and a two-mode squeezed vacuum state produced in the process of non-degenerate parametric down-conversion.
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"abstract": "We develop a multimode theory of direct homodyne measurements of quantum\noptical quasidistribution functions. We demonstrate that unbalanced homodyning\nwith appropriately shaped auxiliary coherent fields allows one to sample\npoint-by-point different phase space representations of the electromagnetic\nfield. Our analysis includes practical factors that are likely to affect the\noutcome of a realistic experiment, such as non-unit detection efficiency,\nimperfect mode matching, and dark counts. We apply the developed theory to\ndiscuss feasibility of observing a loophole-free violation of Bell\u0027s\ninequalities by measuring joint two-mode quasidistribution functions under\nlocality conditions by photon counting. We determine the range of parameters of\nthe experimental setup that enable violation of Bell\u0027s inequalities for two\nstates exhibiting entanglement in the Fock basis: a one-photon Fock state\ndivided by a 50:50 beam splitter, and a two-mode squeezed vacuum state produced\nin the process of non-degenerate parametric down-conversion.",
"arxiv_id": "quant-ph/0204103",
"authors": [
"Konrad Banaszek",
"Andrzej Dragan",
"Krzysztof Wodkiewicz",
"Czeslaw Radzewicz"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.66.043803",
"journal_ref": "Phys. Rev. A 66, 043803 (2002)",
"title": "Direct measurement of optical quasidistribution functions: multimode theory and homodyne tests of Bell\u0027s inequalities",
"url": "https://arxiv.org/abs/quant-ph/0204103"
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