Model simplification and loss of irreversibility

Thermodynamic Irreversibility from high-dimensional Hamiltonian Chaos

This paper discusses the thermodynamic irreversibility realized in high-dimensional Hamiltonian systems with a time-dependent parameter. A new quantity, the irreversible information loss, is defined from the Lyapunov analysis so as to characterize the thermodynamic irreversibility. It is proved that this new quantity satisfies an inequality associated with the second law of thermodynamics. Based on the assumption that these systems possess the mixing property and certain large deviation properties in the thermodynamic limit, it is argued reasonably that the most probable value of the irreversi…

Fluctuation theorem in cavity quantum electrodynamics systems

We derive an integral fluctuation theorem (FT) in a general setup of cavity quantum electrodynamics systems. In the derivation, a key difficulty lies in a diverging behavior of entropy change arising from the zero-temperature limit of an external bath, which is required to describe the cavity loss. We solve this difficulty from the viewpoint of absolute irreversibility and find that two types of absolute irreversibility contribute to the integral FT. Furthermore, we show that, in a stationary and small cavity-loss condition, these contributions have simple relationships to the average number o…

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。

模糊置换时间不可逆性用于复杂系统的非平衡分析

Fuzzy permutation time irreversibility for nonequilibrium analysis of complex system

本研究提出模糊置换时间不可逆性（fpTIR），通过负指数函数度量向量差异，有效量化复杂系统非平衡特性，并在心跳分析中优于传统方法，支持衰老和疾病的复杂性丧失理论。

Optimal inference strategies and their implications for the linear noise approximation

We study the information loss of a class of inference strategies that is solely based on time averaging. For an array of independent binary sensors (e.g., receptors, single electron transistors) measuring a weak random signal (e.g., ligand concentration, gate voltage) this information loss is up to 0.5 bit per measurement irrespective of the number of sensors. We derive a condition related to the local detailed balance relation that determines whether or not such a loss of information occurs. Specifically, if the free energy difference arising from the signal is symmetrically distributed among…