Moments of the Wigner Distribution and a Generalized Uncertainty Principle

Simon, R and Mukunda, N (1997) Moments of the Wigner Distribution and a Generalized Uncertainty Principle. [Preprint]

Preview

PDF 9708037.pdf Download (118kB)

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:	Preprint
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited:	23 Jul 2004
Last Modified:	19 Sep 2010 04:13
URI:	http://eprints.iisc.ac.in/id/eprint/871

Actions (login required)

View Item