Quantum Stabilizer Channel for Thermalization

TL;DR

This paper explores quantum thermalization through discrete interactions, introducing a general framework for channels with specific fixed points, with implications for quantum error correction and avoiding.

Contribution

It develops a method to identify and complement quantum channels that achieve thermalization fixed points, extending previous scattering thermalization models.

Findings

Identifies a non-trace-preserving channel solving a fixed point condition.

Provides a general method to make the channel trace-preserving.

Connects thermalization channels to quantum error correction concepts.

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.