The Wigner function is recovered exactly as the expectation of signed weights times delta functions along classical phase-space trajectories, with the weights carrying all non-classical corrections from the Moyal bracket.
Quantum fluctuation theorems, contextuality and work quasi-probabilities
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abstract
We discuss the role of contextuality within quantum fluctuation theorems, in the light of a recent no-go result by Perarnau \emph{et al}. We show that any fluctuation theorem reproducing the two-point-measurement scheme for classical states either admits a notion of work quasi-probability or fails to describe protocols exhibiting contextuality. Conversely, we describe a protocol that smoothly interpolates between the two-point measurement work distribution for projective measurements and Allahverdyan's work quasi-probability for weak measurements, and show that the negativity of the latter is a direct signature of contextuality.
fields
quant-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
In a driven non-integrable Ising chain, subsystem reduced density matrices and work statistics both detect the frequency-dependent crossover from prethermal to infinite-temperature Floquet regimes.
citing papers explorer
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Weighted Phase-Space Paths for Exact Wigner Dynamics
The Wigner function is recovered exactly as the expectation of signed weights times delta functions along classical phase-space trajectories, with the weights carrying all non-classical corrections from the Moyal bracket.
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Subsystem Thermalization and Work Statistical Characterizations of Floquet Dynamics
In a driven non-integrable Ising chain, subsystem reduced density matrices and work statistics both detect the frequency-dependent crossover from prethermal to infinite-temperature Floquet regimes.