论文标题
在较高维稳定器代码中动态相变的热稳定性
Thermal Stability of Dynamical Phase Transitions in Higher Dimensional Stabilizer Codes
论文作者
论文摘要
对于对动态相变（DPT）的所有兴趣，仍然不清楚这些特征在较高维度模型中的含义或流行率。在本文中，我们考虑了稳定器代码模型的DPT和这些模型之间的量子淬火，尤其是$ d = 2,3 $。我们发现，对于许多稳定器代码，存在强大的DPT对热噪声，这表明在量子误差校正的背景下，在地面空间中存储的信息的弹性。也就是说，丢失DPT的临界温度对应于代码的解码速率的理论上限。我们还讨论了韦格纳二元性的概括，以及如何使用它来表征DPT和其他热特性。
For all of the interest in dynamical phase transitions (DPT), it is still not clear the meaning or prevalence of these features in higher dimensional models. In this paper, we consider DPTs for stabilizer code models and quantum quenches between these models in higher dimensions, particularly $d=2,3$. We find that for many stabilizer codes, there exists a robust DPT to thermal noise which indicates the resilience of information stored in the ground space in the context of quantum error correction. That is, the critical temperature at which the DPT is lost corresponds to the theoretical upper-bound on the decoding rate for the code. We also discuss a generalization of the Wegner duality and how it can be used to characterize DPTs and other thermal properties.
