Quantum Stabilizer Channel for Thermalization

• URL: http://arxiv.org/abs/2209.06806v2
• Date: Fri, 16 Jun 2023 21:15:48 GMT
• Title: Quantum Stabilizer Channel for Thermalization
• Authors: Esteban Mart\'inez-Vargas
• Abstract summary: We study the problem of quantum thermalization via discrete interactions with thermalized systems. We find a channel that solves a fixed point condition using the Choi matrix approach that is in general non-trace-preserving.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the problem of quantum thermalization from a very recent perspective: via discrete interactions with thermalized systems. We thus extend the previously introduced scattering thermalization program by studying not only a specific channel but allowing any possible one. We find a channel that solves a fixed point condition using the Choi matrix approach that is in general non-trace-preserving. We also find a general way to complement the found channel so that it becomes trace-preserving. Therefore we find a general way of characterizing a family of channels with the same desired fixed point. From a quantum computing perspective, the results thus obtained can be interpreted as a condition for quantum error correction that also reminds of quantum error avoiding.

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