Moments of the Wigner distribution and a generalized uncertainty principle

Simon, R. ; Mukunda, N. (1997) Moments of the Wigner distribution and a generalized uncertainty principle arXiv e-print . pp. 1-9.

[img]
Preview
PDF - Author Version
120kB

Official URL: http://arxiv.org/pdf/quant-ph/9708037v1

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.

Item Type:Article
Source:Copyright of this article belongs to Arxiv Publication.
ID Code:87665
Deposited On:20 Mar 2012 15:07
Last Modified:19 May 2016 02:54

Repository Staff Only: item control page