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