Recovery of Damaged Information and the Out-of-Time-Ordered Correlators

Origin and Limit of the Recovery of Damaged Information by Time Reversal

Recently it was found that scrambled information can be partially recovered by a time-reversed evolution, even after being damaged by an intruder. We reconsider the origin of the information recovery, and argue that the presence of classical chaos does not preclude it and only leads to a quantitative reduction of the recovery ratio. We also show how decoherence (i.e. entanglement with the intruder) limits the recovery, by proving an upper bound on the recovery ratio in terms of the entangling power of the intruder's action.

通过不定因果序中的置乱恢复受损信息

Recovery of damaged information via scrambling in indefinite casual order

该研究提出一种利用不定因果序的置乱方案，可同时记录损害信息并蒸馏初始态，通过迭代实现量子信息的完全恢复，并在云量子计算机上实验验证。

Recovery Time of Matter Airy Beams using the Path Integral Quantum Trajectory Model

The Path Integral Quantum Trajectory (PIQTr) model is introduced as a new computational tool for the study of non-relativistic, quantum mechanical wave packets. We introduce the numerical algorithm and show that one of the primary advantages of the PIQTr model is its ability to efficiently handle heavy mass particles, while still resulting in a numerically exact answer. We then apply the model to the study of matter Airy beam particles and show that the recovery time of a damaged wave packet increases approximately with mass, but is independent of momentum, velocity, and wave packet width.

误差与扰动作为不可逆性：应用：统一定义、威金-阿里卡-亚纳塞定理和非时间序相关子符

Error and Disturbance as Irreversibility with Applications: Unified Definition, Wigner--Araki--Yanase Theorem and Out-of-Time-Order Correlator

本文提出利用不可逆性定义误差与扰动的框架，通过量子梳结构将测量不可逆性转化为辅助量子比特系统的不可逆性，并揭示不可逆性与非时间序相关子符之间的操作联系。

Dynamics and recovery of genuine multipartite Einstein-Podolsky-Rosen steering and genuine multipartite nonlocality for a dissipative Dirac system via Unruh effect

In this paper, we investigate the dynamics behaviors of genuine multipartite Einstein-Podolsky-Rosen steering (GMS) and genuine multipartite nonlocality (GMN), and explore how to recover the lost GMS and GMN under a mixed decoherence system. Explicitly, the decoherence system can be modeled by that a tripartite Werner-type state suffers from the non-Markovian regimes and one subsystem of the tripartite is under a non-inertial frame. The conditions for steerable and nonlocal states can be obtained with respect to the tripartite Werner-type state established initially. GMS and GMN are very fragi…

哈密顿系统中的 Hayden-Preskill 恢复

Hayden-Preskill Recovery in Hamiltonian Systems

本文研究了含时哈密顿系统（含混沌自旋链和SYK模型）中的信息恢复，发现其仅在部分混沌模型中可行，揭示了信息恢复与量子混沌的区别，并能探测动力学信息论特征变化引发的相变。