发表机构
Steklov Mathematical Institute of Russian Academy of Sciences（俄罗斯科学院斯捷克洛夫数学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对开放量子系统中秩二单量子比特非酉量子信道，证明仅需三个适当密度矩阵即可唯一确定，并基于此数值研究了相干与非相干控制下的信道生成。
AI 中文摘要
量子技术中的一个重要问题是如何生成开放量子系统的目标演化。该任务的核心组成部分是能够确定系统的实际演化是否与目标演化一致。对于开放量子系统中酉量子信道的生成，Goerz、Reich和Koch [New J. Phys. 16 055012 (2014)] 已证明，要确定实际演化是否与期望的酉演化一致，只需比较它们在三个特殊密度矩阵上的作用即可。在本工作中，我们考虑开放量子系统中非酉量子信道的受控生成与唯一确定，特别关注秩二单量子比特量子信道。我们证明，要唯一确定此类量子信道，只需考虑它们在三个适当选择的密度矩阵上的作用即可。基于这一理论结果，我们数值研究了使用相干和非相干控制在开放量子系统中生成各种非酉目标单量子比特量子信道的过程。
英文摘要
An important problem in quantum technologies is the generation of a target evolution of an open quantum system. A core component of this task is the ability to determine whether the actual evolution of the system coincides with the target evolution. For the generation of unitary quantum channels in open quantum systems, it was shown by Goerz, Reich and Koch [New J. Phys. {\bf 16} 055012 (2014)] that for determining whether the actual evolution coincides with a desired unitary it is sufficient to compare their action on three special density matrices. In this work, we consider controlled generation and unique determination of non-unitary quantum channels in open quantum systems with particular emphasis on rank two single-qubit quantum channels. We prove that to uniquely determine such quantum channels it is sufficient to consider their action on only three suitably chosen density matrices. Based on this theoretical result, we numerically investigate generation of various non-unitary target single-qubit quantum channels in open quantum systems using coherent and incoherent controls.
CommentsThis is preprint of the finally published version. Published version has a significantly polished numerical part
Journal refJ. Phys. A: Math. Theor. 59, 355309 (2026)
