近日，陕西师范大学计算机科学学院的李鹏与数学与统计学院的李永明合作并取得一项新进展。经过不懈努力，他们实现广义物理上的非相干操作。相关研究成果已于2024年6月18日在国际知名学术期刊《物理评论A》上发表。

本文深入探讨了广义物理非相干操作，这一操作严格地位于非相干操作和退相干协变操作（即退相干协变非相干操作）的交集之中。文中详细刻画了退相干协变非相干操作以及广义物理非相干操作的Kraus算子，进而对广义物理非相干操作下的相干态变换进行了深入研究。

具体而言，研究人员深入分析了初始态的秩对纯相干态提取过程所施加的限制条件。此外，他们还给出了从混合态到纯态系综转换的充分条件。

据悉，量子相干性是单个量子系统的内在特性。在资源理论的框架内，人们提出了许多不同的相干资源理论来描述这一属性。这种差异是基于对“自由”操作标识的不同。

附:英文原文

Title: Generalized physically incoherent operations

Author: Ping Li, Yongming Li

Issue&Volume: 2024/06/18

Abstract: Quantum coherence is an intrinsic property within a single quantum system. Many different coherent resource theories have been proposed to characterize this property within the framework of resource theory. This difference is based on the difference in the identification of “free” operations. In this article, generalized physically incoherent operations, which are strictly contained in the intersection of incoherent operations and dephasing-covariant operations (dephasing-covariant incoherent incoherent operations), are introduced. We characterize the Kraus operators of dephasing-covariant incoherent incoherent operations and generalized physically incoherent operations, and further study the coherent state transformations under generalized physically incoherent operations. Specifically, we investigate the constraints imposed by the rank of the initial state on the extraction of a pure coherent state. Additionally, we present a sufficient condition for the transformation from a mixed state to a pure state ensemble.

DOI: 10.1103/PhysRevA.109.062424

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.109.062424