dorsal/arxiv
View SchemaMoments of the Wigner Distribution and a Generalized Uncertainty Principle
| Authors | R. Simon, N. Mukunda |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9708037 |
| URL | https://arxiv.org/abs/quant-ph/9708037 |
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.
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"abstract": "The nonnegativity of the density operator of a state is faithfully coded in\nits Wigner distribution, and this places constraints on the moments of the\nWigner distribution. These constraints are presented in a canonically invariant\nform which is both concise and explicit. Since the conventional uncertainty\nprinciple is such a constraint on the first and second moments, our result\nconstitutes a generalization of the same to all orders. Possible application in\nquantum state reconstruction using optical homodyne tomography is noted.",
"arxiv_id": "quant-ph/9708037",
"authors": [
"R. Simon",
"N. Mukunda"
],
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"title": "Moments of the Wigner Distribution and a Generalized Uncertainty Principle",
"url": "https://arxiv.org/abs/quant-ph/9708037"
},
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