Time evolution of the von Neumann entropy in open quantum system

• URL: http://arxiv.org/abs/2405.11824v1
• Date: Mon, 20 May 2024 06:43:07 GMT
• Title: Time evolution of the von Neumann entropy in open quantum system
• Authors: Kohei Kobayashi,
• Abstract summary: We study the time evolution of the von Neumann entropy for open quantum systems. We present a lower bound of the von Neumann entropy in the long-time limit.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Control of open quantum dynamics is of great interest for realizing quantum technologies. Therefore, it is an important task to quantify and characterize the entropy for open quantum systems under decoherence. In this paper, we study the time evolution of the von Neumann entropy for open quantum systems described by the Lindblad master equation. Note that, in particular, when the decoherence corresponds to the measurement for the observable in the system, the von Neumann entropy tends to monotonically increases as the variance becomes larger. Furthermore, we present a lower bound of the von Neumann entropy in the long-time limit. This lower bound has advantages of being straightforwardly calculated and applicable to a general Markovian open quantum system.

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