无泪超通道：一种通用的奥卡姆剃刀原理用于量子过程
Superchannel without Tears: A Generalized Occam's Razor for Quantum Processes
AI总结：
本文提出了一种通用的奥卡姆剃刀原理，结合张量网络方法，统一了超通道的结构，发展了多种表示，并简化了实现定理的推导，为非马尔可夫量子动力学提供了系统方法。
摘要：
量子通道作为量子理论的操作原始构件，而超通道描述了作用于其上的最一般变换。然而，现有的超通道框架在内部不一致，由于存在不同的Choi算子构造，且在结构上不完整，缺乏支撑通道理论的表示类比。我们通过结合张量网络方法与这里引入的广义奥卡姆剃刀原理，解决这些问题，建立超通道的统一基础。我们的框架建立了竞争Choi公式的联系，发展了超通道的Kraus、Stinespring和Liouville表示，并提供了简化推导出的实现定理，该定理确定了实现给定变换所需的最小记忆。这些结构工具还使能够对破坏量子相关性和因果结构的超通道进行表征，从而开辟了非马尔可夫量子动力学的系统路线。
英文摘要：
Quantum channels function as the operational primitives of quantum theory, while superchannels describe the most general transformations acting upon them. Yet the prevailing framework for superchannels is both internally inconsistent, owing to the coexistence of distinct Choi operator constructions, and structurally incomplete, lacking the analogue of representations that ground channel theory. We resolve these issues by combining tensor-network methods with a generalized Occam's razor introduced here, establishing a unified foundation for superchannels. Our framework establishes the connections between competing Choi formulations, develops the Kraus, Stinespring, and Liouville representations for superchannels, and provides a simplified derivation of the realization theorem that identifies the minimal memory required to implement a given transformation. These structural tools also enable characterizations of superchannels that destroy quantum correlations or causal structure, opening a systematic route to non-Markovian quantum dynamics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
