Moments of the Wigner Distribution and a Generalized Uncertainty Principle

Details Moments of the Wigner Distribution and a Generalized Uncertainty Principle Moments of the Wigner Distribution and a Generalized Uncertainty Principle

1997-08-22

arxiv.org/abs/quant-ph/9708037v1

Physics

Quantum Physics

REVTex, no figures, 9 pages

Scientific paper

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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