Ahn--Doherty--Landahl 连续量子纠错的热力学
Thermodynamics of Ahn--Doherty--Landahl Continuous Quantum Error Correction
- University of Southern California（南加州大学）
- National University of Singapore（新加坡国立大学）
- Los Alamos National Laboratory（洛斯阿拉莫斯国家实验室）
- PUC-Rio（天主教里约热内卢 Pontifical 大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本研究将连续量子纠错建模为信息引擎，分析其热力学资源消耗，发现反馈强度增强可提升保真度但增加能量成本，揭示逻辑稳定化与能量资源间的权衡。
AI中文摘要：
连续量子纠错（CQEC）用连续的综合征提取和实时哈密顿反馈取代离散的综合征测量和恢复操作。这里，我们通过将基于测量的连续量子纠错表述为信息引擎，来研究该过程所需的热力学资源。我们区分了与反馈场和被保护系统之间能量传递相关的系统侧功率，以及与反馈哈密顿量相关的控制器侧功率。该框架首先针对单量子比特的 Ahn-Doherty-Landahl（ADL）协议进行开发，随后扩展到连续稳定子监测下的三量子比特重复码。数值模拟表明，增加反馈强度可提高稳态保真度并降低条件态熵，而两种能量贡献的幅度在保真度开始饱和后仍继续增加。这些结果揭示了逻辑稳定化与连续反馈所需能量资源之间的直接权衡，与先前在量子测量和量子芝诺稳定化中确立的能量-精度权衡密切相关。
英文摘要：
Continuous quantum error correction (CQEC) replaces discrete syndrome measurements and recovery operations with continuous syndrome extraction and real-time Hamiltonian feedback. Here we investigate the thermodynamic resources required by this process by formulating measurement-based continuous quantum error correction as an information engine. We distinguish the system-side power associated with energy transfer between the feedback field and the protected system from the controller-side power associated with the feedback Hamiltonian. The framework is first developed for the one-qubit Ahn-Doherty-Landahl (ADL) protocol and subsequently extended to the three-qubit repetition code under continuous stabilizer monitoring. Numerical simulations show that increasing the feedback strength improves the steady-state fidelity and reduces the conditional-state entropy, while both energetic contributions continue to increase in magnitude after the fidelity begins to saturate. These results expose a direct tradeoff between logical stabilization and the energetic resources required for continuous feedback, closely related to previously established energy--precision tradeoffs in quantum measurement and quantum-Zeno stabilization.
