dorsal/arxiv
View SchemaExistence of the Wigner function with correct marginal distributions along tilted lines on a lattice
| Authors | Minoru Horibe, Akiyoshi Takami, Takaaki Hashimoto, Akihisa Hayashi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0108050 |
| URL | https://arxiv.org/abs/quant-ph/0108050 |
| DOI | 10.1103/PhysRevA.65.032105 |
| Journal | Phys.Rev. A 65(2002)032105 |
Abstract
In order to determine the Wigner function uniquely, we introduce a new condition which ensures that the Wigner function has correct marginal distributions along tilted lines. For a system in $N$ dimensional Hilbert space, whose "phase space" is a lattice with $N^2$ sites, we get different results depending on whether $N$ is odd or even. Under the new condition, the Wigner function is determined if $N$ is an odd number, but it does not exist if $N$ is even.
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"abstract": "In order to determine the Wigner function uniquely, we introduce a new\ncondition which ensures that the Wigner function has correct marginal\ndistributions along tilted lines. For a system in $N$ dimensional Hilbert\nspace, whose \"phase space\" is a lattice with $N^2$ sites, we get different\nresults depending on whether $N$ is odd or even. Under the new condition, the\nWigner function is determined if $N$ is an odd number, but it does not exist if\n$N$ is even.",
"arxiv_id": "quant-ph/0108050",
"authors": [
"Minoru Horibe",
"Akiyoshi Takami",
"Takaaki Hashimoto",
"Akihisa Hayashi"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.032105",
"journal_ref": "Phys.Rev. A 65(2002)032105",
"title": "Existence of the Wigner function with correct marginal distributions along tilted lines on a lattice",
"url": "https://arxiv.org/abs/quant-ph/0108050"
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