Optimum Phase Space Probabilities From Quantum Tomography
Arunabha S. Roy (1), S. M. Roy (2) ((1) King's College, London, (2), HBCSE, Tata Institute of Fundamental Research, Mumbai)
TL;DR
This paper introduces a method to find the most accurate positive phase space probability distribution closest to the Wigner distribution, providing a new measure of quantum state quantumness applicable in quantum mechanics and time-frequency analysis.
Contribution
It presents a novel approach to determine the positive phase space distribution with minimal deviation from the Wigner distribution, quantifying quantum state quantumness.
Findings
Minimum deviation is invariant under phase space rotations.
The positive distribution closely approximates the Wigner distribution.
The method offers a new quantitative measure of quantumness.
Abstract
We determine a positive normalised phase space probability distribution with minimum mean square fractional deviation from the Wigner distribution .The minimum deviation, an invariant under phase space rotations, is a quantitative measure of the quantumness of the state.The positive distribution closest to will be useful in quantum mechanics and in time frequency analysis .
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