PIRSA:17110046 Scientific Series Quantum Foundations

DOI10.48660/17110046

Series: Quantum Foundations

Lostaglio, M. (2017). Quantum fluctuation theorems, contextuality and work quasi-probabilities. Perimeter Institute. https://pirsa.org/17110046

Lostaglio, Matteo. Quantum fluctuation theorems, contextuality and work quasi-probabilities. Perimeter Institute, Nov. 28, 2017, https://pirsa.org/17110046 

@misc{ pirsa_PIRSA:17110046,
  doi = {10.48660/17110046},
  url = {https://pirsa.org/17110046},
  author = {Lostaglio, Matteo},
  keywords = {Quantum Foundations},
  language = {en},
  title = {Quantum fluctuation theorems, contextuality and work quasi-probabilities},
  publisher = {Perimeter Institute},
  year = {2017},
  month = {nov},
  note = {PIRSA:17110046 see, \url{https://pirsa.org}}
}

Abstract

We discuss the role of contextuality within quantum fluctuation theorems, in the light of a recent no-go result by Perarnau 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.

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