Quantum Work Statistics from Entanglement-Assisted Invariance

Abstract:We demonstrate that the one-time measurement scheme is more consistent than the standard two-time measurement scheme with respect to the fundamental symmetry of entanglement, namely entanglement-assisted invariance (envariance). In particular, the work statistics obtained from the one-time measurement scheme arise naturally as a direct consequence of envariance for any driving unitary, without involving an explicit measurement postulate, whereas the analogous identification for the two-time measurement scheme is possible only for a Haar-measure-zero set of unitaries. This envariance-based formulation eliminates the ambiguity in work statistics related to the energetic cost of measurement.

arXiv:2610.20528 [quant-ph]

(or arXiv:2610.20528v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.20528 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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