Related papers: Requiring linearity leads to complete positivity

Requiring linearity leads to complete positivity

URL: http://arxiv.org/abs/2108.06200v2
Date: Mon, 12 Sep 2022 12:29:08 GMT
Title: Requiring linearity leads to complete positivity
Authors: Iman Sargolzahi
Abstract summary: The reduced dynamics of an open quantum system $S$ interacting with its environment $E$ is not completely positive, in general. In this paper, we demonstrate that if the two following conditions are satisfied, simultaneously, then the reduced dynamics is completely positive.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: The reduced dynamics of an open quantum system $S$, interacting with its environment $E$, is not completely positive, in general. In this paper, we demonstrate that if the two following conditions are satisfied, simultaneously, then the reduced dynamics is completely positive: (1) the reduced dynamics of the system is linear, for arbitrary system-environment unitary evolution $U$; and (2) the reduced dynamics of the system is linear, for arbitrary initial state of the system $\rho_S$.

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