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arXiv · 2610.20528

Quantum Work Statistics from Entanglement-Assisted Invariance

Akira Sone·Akram Touil·Emery Doucet·Sebastian Deffner
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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.

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Akira Sone, Akram Touil, Emery Doucet, Sebastian Deffner. 2026-10-14. Quantum Work Statistics from Entanglement-Assisted Invariance. https://arxiv.org/abs/2610.20528

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