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arXiv:2306.13353

A note on the time-reversal symmetry for the quasiprobability distributions of work

Gianluca Francica

Published Jun 23, 2023• 0 citations
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Abstract

In this short note we discuss the time-reversal of a quasiprobability distribution of work.
DOI
10.48550/arxiv.2306.13353

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It is shown that the probability distribution for the rotated quadrature phase [${a}^{\mathrm{\ifmmode^\circ\else\textdegree\fi{}}}$exp(i\ensuremath{\theta})+a exp(-i\ensuremath{\theta})]/2 can be expressed in terms of quasiprobability distributions such as P, Q, and Wigner functions and that also the reverse is true, i.e., if the probability distribution for the rotated quadrature phase is known for every \ensuremath{\theta} in the interval 0\ensuremath{\le}\ensuremath{\theta}<\ensuremath{\pi}, then the quasiprobability distributions can be obtained.