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PreprintCC BY 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{sone2026quantum,
  title = {{Quantum Work Statistics from Entanglement-Assisted Invariance}},
  author = {Akira Sone and Akram Touil and Emery Doucet and Sebastian Deffner},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.20528},
  eprint = {2610.20528},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.20528},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quantum Work Statistics from Entanglement-Assisted Invariance
AU  - Akira Sone
AU  - Akram Touil
AU  - Emery Doucet
AU  - Sebastian Deffner
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2610.20528
UR  - https://arxiv.org/abs/2610.20528
AB  - 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.
ER  -