论文标题

用于热化的量子稳定器通道

Quantum Stabilizer Channel for Thermalization

论文作者

Martínez-Vargas, Esteban

论文摘要

我们从最近的角度研究量子热化的问题:通过与热化系统的离散相互作用。因此,我们不仅通过研究特定的通道,而且允许任何可能的通道来扩展先前引入的散射热化程序。我们找到了一个通道,该通道使用通常在非跟踪的CHOI矩阵方法来解决固定点条件。我们还找到了一种补充发现的频道的一般方法,以使其变得痕迹。因此,我们找到一种表征具有相同所需固定点的通道家族的一般方法。从量子计算的角度来看,因此获得的结果可以解释为量子误差校正的条件,这也使人想起避免量子误差。

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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