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Title: Optimum phase space probabilities from quantum tomography

We determine a positive normalised phase space probability distribution P with minimum mean square fractional deviation from the Wigner distribution W. The minimum deviation, an invariant under phase space rotations, is a quantitative measure of the quantumness of the state. The positive distribution closest to W will be useful in quantum mechanics and in time frequency analysis. The position-momentum correlations given by the distribution can be tested experimentally in quantum optics.
Authors:
 [1] ;  [2]
  1. King's College, London (United Kingdom)
  2. HBCSE, Tata Institute of Fundamental Research, Mumbai (India)
Publication Date:
OSTI Identifier:
22250715
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 1; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATIONS; DISTRIBUTION; FREQUENCY ANALYSIS; PHASE SPACE; PROBABILITY; QUANTUM MECHANICS; TOMOGRAPHY; WIGNER DISTRIBUTION