dorsal/arxiv
View SchemaBounds on Integrals of the Wigner Function
| Authors | A. J. Bracken, H. -D. Doebner, J. G. Wood |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9905097 |
| URL | https://arxiv.org/abs/quant-ph/9905097 |
| DOI | 10.1103/PhysRevLett.83.3758 |
Abstract
The integral of the Wigner function over a subregion of the phase-space of a quantum system may be less than zero or greater than one. It is shown that for systems with one degree of freedom, the problem of determining the best possible upper and lower bounds on such an integral, over all possible states, reduces to the problem of finding the greatest and least eigenvalues of an hermitian operator corresponding to the subregion. The problem is solved exactly in the case of an arbitrary elliptical region. These bounds provide checks on experimentally measured quasiprobability distributions.
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"abstract": "The integral of the Wigner function over a subregion of the phase-space of a\nquantum system may be less than zero or greater than one. It is shown that for\nsystems with one degree of freedom, the problem of determining the best\npossible upper and lower bounds on such an integral, over all possible states,\nreduces to the problem of finding the greatest and least eigenvalues of an\nhermitian operator corresponding to the subregion. The problem is solved\nexactly in the case of an arbitrary elliptical region. These bounds provide\nchecks on experimentally measured quasiprobability distributions.",
"arxiv_id": "quant-ph/9905097",
"authors": [
"A. J. Bracken",
"H. -D. Doebner",
"J. G. Wood"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevLett.83.3758",
"title": "Bounds on Integrals of the Wigner Function",
"url": "https://arxiv.org/abs/quant-ph/9905097"
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