Number of steady states of quantum evolutions
Quantum Physics
2024-06-26 v1 Mathematical Physics
math.MP
Abstract
We prove sharp universal upper bounds on the number of steady and asymptotic states of discrete- and continuous-time Markovian evolutions of open quantum systems. We show that the bounds depend only on the dimension of the system and not on the details of the dynamics. A comparison with similar bounds deriving from a recent spectral conjecture for Markovian evolutions is also provided.
Keywords
Cite
@article{arxiv.2404.00440,
title = {Number of steady states of quantum evolutions},
author = {Daniele Amato and Paolo Facchi},
journal= {arXiv preprint arXiv:2404.00440},
year = {2024}
}
Comments
16 pages, 1 figure