Quantum fluctuation theorems, contextuality and work quasi-probabilities
APA
Lostaglio, M. (2017). Quantum fluctuation theorems, contextuality and work quasi-probabilities. Perimeter Institute. https://pirsa.org/17110046
MLA
Lostaglio, Matteo. Quantum fluctuation theorems, contextuality and work quasi-probabilities. Perimeter Institute, Nov. 28, 2017, https://pirsa.org/17110046
BibTex
@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}} }
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.