dorsal/arxiv
View SchemaRemarks on the Fact that the Uncertainty Principle Does Not Determine the Quantum State
| Authors | Maurice de Gosson, Franz Luef |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703061 |
| URL | https://arxiv.org/abs/quant-ph/0703061 |
Abstract
We discuss the relation between density matrices and the uncertainty principle; this allows us to justify and explain a recent statement by Man'ko et al. We thereafter use Hardy's uncertainty principle to prove a new result for Wigner distributions dominated by a Gaussian and we relate this result to the coarse-graining of phase-space by "quantum blobs".
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"abstract": "We discuss the relation between density matrices and the uncertainty\nprinciple; this allows us to justify and explain a recent statement by Man\u0027ko\net al. We thereafter use Hardy\u0027s uncertainty principle to prove a new result\nfor Wigner distributions dominated by a Gaussian and we relate this result to\nthe coarse-graining of phase-space by \"quantum blobs\".",
"arxiv_id": "quant-ph/0703061",
"authors": [
"Maurice de Gosson",
"Franz Luef"
],
"categories": [
"quant-ph"
],
"title": "Remarks on the Fact that the Uncertainty Principle Does Not Determine the Quantum State",
"url": "https://arxiv.org/abs/quant-ph/0703061"
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