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Moments of the Wigner Distribution and a Generalized Uncertainty
Principle
R. Simon, N. Mukunda
abstract: The nonnegativity of the density operator of a state is faithfully coded in
its Wigner distribution, and this places constraints on the moments of the
Wigner distribution. These constraints are presented in a canonically invariant
form which is both concise and explicit. Since the conventional uncertainty
principle is such a constraint on the first and second moments, our result
constitutes a generalization of the same to all orders. Possible application in
quantum state reconstruction using optical homodyne tomography is noted.
- oai_identifier:
- oai:arXiv.org:quant-ph/9708037
- categories:
- quant-ph
- comments:
- REVTex, no figures, 9 pages
- arxiv_id:
- quant-ph/9708037
- created:
- 1997-08-22
Full article ▸
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