发表机构
Laboratory for Physical Sciences; Center for Computing Sciences（物理科学实验室; 计算科学中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文探究集中式重复码的热物理特性，采用Lindblad方程框架分析其与热库耦合时的寿命，发现其集中式配置使其具备热稳定性，可稳健存储逻辑比特信息，为量子退火修正（QAC）方法提供热物理层面的支撑。
AI 中文摘要
大量研究正在探究绝热量子计算与量子退火解决复杂计算问题的潜力，但计算过程中硬件受噪声影响会阻碍这一研究。为此，量子退火修正（QAC）这一纠错方法被提出以缓解噪声，该方法采用集中式重复码，其中量子比特被配置为星型图模式，一个特殊量子比特充当中心节点。本文采用Lindblad方程框架，分析集中式重复码与热库耦合时的寿命，探究其热物理特性。研究表明，尽管每个量子比特仅存在1个铁磁伊辛相互作用（类似一维伊辛链），但集中式配置使其具备热稳定性，可稳健存储一个逻辑比特的信息。
英文摘要
There is an extensive body of research probing the potential of adiabatic quantum computation and quantum annealing to solve hard computational problems. This research endeavor is complicated by noise afflicting hardware during the computational process. An error-correcting approach called quantum annealing correction (QAC) was suggested to mitigate this noise. The QAC approach employs a centralized version of the repetition code in which the qubits are configured in a star-graph pattern with one special qubit playing the role of the hub. In this paper, we explore the thermal physics of the centralized repetition code, using a Lindblad equation framework to analyze its lifetime when coupled to a thermal bath. We show that its centralized configuration leads to thermal stability, enabling the robust storage of a logical bit of information, despite the fact that there is only 1 ferromagnetic Ising interaction per qubit like a 1-dimensional Ising chain.
