Open quantum systems integrable by partial commutativity

由单个 Bargmann 不变量等式推导交换性

Commutativity from a single Bargmann invariant equality

本文提出一个通用条件，用于判断两个量子态是否交换，该条件基于Bargmann不变量的等式，并展示了其在量子态重构中的应用潜力。

On-State Commutativity of Measurements and Joint Distributions of Their Outcomes

In this note, we analyze joint probability distributions that arise from outcomes of sequences of quantum measurements performed on sets of quantum states. First, we identify some properties of these distributions that need to be fulfilled to get a classical behavior. Secondly, we prove that a joint distribution exists iff measurement operators "on-state" permute (permutability is the commutativity of more than two operators). By "on-state" we mean properties of operators that hold only on a subset of states in the Hilbert space. Then, we disprove a conjecture proposed by Carstens, Ebrahimi, T…

时间随机可积量子电路中的稀有历史转变

Rare-History Transitions in Temporally Random Integrable Quantum Circuits

本文研究时间随机可积量子电路中的电流涨落，利用可交换性将历史约化为层组成，通过热力学贝特拟设和弹道涨落理论预测两种主导历史间的一阶切换，表明时间随机性可作为轨迹空间中的类序参量。

广义自旋螺旋态作为部分可积模型中的量子多体疤痕

Generalized Spin Helix States as Quantum Many-Body Scars in Partially Integrable Models

提出一种通用机制构建具有任意大局部希尔伯特空间维度的部分可积模型，通过在Temperley-Lieb代数生成元组成的可积自旋链中引入可积性破缺项，在非可积子空间中识别出广义自旋螺旋态作为精确量子多体疤痕，揭示了可积性与多体疤痕的联系。

近可积系统中的部分可逆性与反绝热驱动

Partial Reversibility and Counterdiabatic Driving in Nearly Integrable Systems

研究近可积系统中可逆过程的极限，通过近似反绝热驱动抑制快速驱动导致的耗散损失，并数值证明量子多体系统在可积性破缺扰动下具有类似现象。

QPP与HPPK：利用伽罗瓦置换群统一非交换性以实现量子安全密码学

QPP and HPPK: Unifying Non-Commutativity for Quantum-Secure Cryptography with Galois Permutation Group

本文提出统一框架，结合QPP与HPPK，利用伽罗瓦置换群的非交换性，实现量子安全的对称加密、密钥封装与数字签名，具有紧凑尺寸和高效性能。