Optimum phase space probabilities from quantum tomography

Journal Article · Wed Jan 15 00:00:00 EST 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4854035· OSTI ID:22250715

Roy, Arunabha S., E-mail: [e-mail] ^[1]; Roy, S. M., E-mail: [e-mail] ^[2]

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1. King's College, London (United Kingdom)
2. HBCSE, Tata Institute of Fundamental Research, Mumbai (India)

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.

• OSTI ID: 22250715
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 1; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CORRELATIONS
DISTRIBUTION
FREQUENCY ANALYSIS
PHASE SPACE
PROBABILITY
QUANTUM MECHANICS
TOMOGRAPHY
WIGNER DISTRIBUTION