English

Thermodynamic Reverse Bounds for General Open Quantum Processes

Statistical Mechanics 2020-10-15 v2 Quantum Physics

Abstract

Various quantum thermodynamic bounds are shown to stem from a single tighter and more general inequality, consequence of the operator concavity of the logarithmic function. Such an inequality, which we call the "thermodynamic reverse bound", is compactly expressed as a quantum relative entropy, from which it inherits mathematical properties and meaning. As concrete examples, we apply our bound to evaluate the thermodynamic length for open processes, the heat exchange in erasure processes, and the maximal energy outflow in general quantum evolutions.

Keywords

Cite

@article{arxiv.2003.08548,
  title  = {Thermodynamic Reverse Bounds for General Open Quantum Processes},
  author = {Francesco Buscemi and Daichi Fujiwara and Naoki Mitsui and Marcello Rotondo},
  journal= {arXiv preprint arXiv:2003.08548},
  year   = {2020}
}

Comments

v2: added six colorful plots for the heat exchanged in erasure processes, accepted in PRA; v1: 6 pages, two-column

R2 v1 2026-06-23T14:19:32.844Z