通过部分量子纠错实现可编程耗散
Programmable Dissipation via Partial Quantum Error Correction
AI总结：
本文提出将量子纠错循环作为可编程原语，通过解码器/恢复随机化生成可控逻辑信道族，实现将目标耗散直接编译为有效逻辑动力学，从而高效模拟开放量子系统。
AI中文摘要：
噪声通常被视为量子信息处理的对手。然而，对于开放量子动力学，耗散是目标物理的一部分，与旨在抑制退相干的容错架构产生矛盾。在这里，我们展示了逻辑噪声可以转化为可校准的资源。我们将纠错循环视为可编程原语：一轮容错循环诱导一个逻辑完全正迹保持映射，解码器/恢复随机化生成一个可控的逻辑信道族，其凸混合实现Kraus信道混合。这使得无需用于编码浴自由度的显式辅助量子比特，即可将目标耗散直接编译为有效逻辑动力学。我们推导了多步模拟的精度准则，其中选择码距使得未受控制的逻辑误差仍保持为每步预期耗散的一小部分，而不是被驱动到任意小的闭系统容限以下。因此，部分量子纠错重新利用容错结构来塑造耗散，为开放量子系统的量子模拟提供了一条资源高效的途径。
英文摘要：
Noise is typically treated as the adversary of quantum information processing. For open quantum dynamics, however, dissipation is part of the target physics, creating a tension with fault-tolerant architectures designed to suppress decoherence. Here we show that logical noise can instead be turned into a calibrated resource. We treat the error-correction cycle as a programmable primitive: one fault-tolerant round induces a logical completely positive trace-preserving map, and decoder/recovery randomization generates a controllable family of logical channels whose convex mixtures realize Kraus-channel mixing. This enables direct compilation of target dissipators into effective logical dynamics without explicit ancilla qubits for encoding the bath degree of freedoms. We derive an accuracy criterion for multi-step simulation in which the code distance is chosen so that uncontrolled logical errors remain a small fraction of the intended dissipation per step, rather than being driven below an arbitrarily small closed-system tolerance. Partial quantum error correction thus repurposes fault-tolerant structure to sculpt dissipation, offering a resource-efficient route to quantum simulation of open quantum systems.
