Witnessing non-Markovianity with Gaussian quantum steering in collision model

• URL: http://arxiv.org/abs/2402.00524v2
• Date: Thu, 2 May 2024 02:31:11 GMT
• Title: Witnessing non-Markovianity with Gaussian quantum steering in collision model
• Abstract summary: We utilize an all-optical scheme to simulate a non-Markovian collision model. By modifying the reflectivity of the beam splitters (BSs), we are able to tune the degree of non-Markovianity of the channel.
• Score: 1.8419202109872088
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The nonincreasing feature of temporal quantum steering under a completely positive trace-preserving (CPTP) map, as proposed by Chen, et al. in Phys. Rev. Lett. 116, 020503 (2016), has been considered as a practical measure of non-Markovianity. In this paper, we utilize an all-optical scheme to simulate a non-Markovian collision model and to examine how Gaussian steering can be used as a tool for quantifying the non-Markovianity of a structured continuous variable (CV) Gaussian channel. By modifying the reflectivity of the beam splitters (BSs), we are able to tune the degree of non-Markovianity of the channel. After analyzing the non-Markovian degree of the dissipative channel within two steering scenarios, we discovered that the Gaussian steering-based non-Markovian measure depends the specific scenario because of the asymmetry of Gaussian steering. We also compared the Gaussian steering based non-Markovianity to the one based on the violation of the divisibility of CPTP map.

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