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arXiv · 2404.00440

Number of steady states of quantum evolutions

Daniele Amato·Paolo Facchi
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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.

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Daniele Amato, Paolo Facchi. 2024-03-30. Number of steady states of quantum evolutions. https://doi.org/10.1038/s41598-024-64040-5

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