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We investigate the statistical arrow of time for a quantum system being monitored by a sequence of measurements. For a continuous qubit measurement example, we demonstrate that time-reversed evolution is always physically possible, provided…

Quantum Physics · Physics 2017-12-06 Justin Dressel , Areeya Chantasri , Andrew N. Jordan , Alexander N. Korotkov

The familiar textbook quantum mechanics of laboratory measurements incorporates a quantum mechanical arrow of time --- the direction in time in which state vector reduction operates. This arrow is usually assumed to coincide with the…

Quantum Physics · Physics 2015-06-12 James B. Hartle

While the microscopic laws of physics are often symmetric under time reversal, most natural processes that we observe are not. The emergent asymmetry between typical and time-reversed processes is referred to as the arrow of time. In…

Quantum Physics · Physics 2025-12-23 Luis Pedro García-Pintos , Yi-Kai Liu , Alexey V. Gorshkov

The outcome of a single quantum experiment is unpredictable, except in a pure-state limit. The definite process that takes place in the apparatus may either be intrinsically random or be explainable from a deeper theory. While the first…

Quantum Physics · Physics 2015-06-22 Theo M. Nieuwenhuizen

Statistical physics cannot explain why a thermodynamic arrow of time exists, unless one postulates very special and unnatural initial conditions. Yet, we argue that statistical physics can explain why the thermodynamic arrow of time is…

General Physics · Physics 2012-10-10 Oleg Kupervasser , Hrvoje Nikolić , Vinko Zlatić

Understanding the emergence of the thermodynamic arrow of time in microscopic systems is of fundamental importance, particularly given that unitary evolution preserves time-reversal symmetry. While projective measurements introduce temporal…

Why time is a one-way corridor? What's the origin of the arrow of time? We attribute the thermodynamic arrow of time as the direction of increasing quantum state complexity. Inspired by the work of Nielsen, Susskind and Micadei, we checked…

Quantum Physics · Physics 2017-12-20 Xiao Dong , Ling Zhou

Arrows of time - thermodynamical, cosmological, electromagnetic, quantum mechanical, psychological - are basic properties of Nature. For a quantum system-bath closed system the de-correlated initial conditions and no-memory (Markovian)…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-22 V. G. Gurzadyan , S. Sargsyan , G. Yegorian

Quantum walks are powerful tools not only to construct the quantum speedup algorithms but also to describe specific models in physical processes. Furthermore, the discrete time quantum walk has been experimentally realized in various…

Quantum Physics · Physics 2010-06-29 Yutaka Shikano , Kota Chisaki , Etsuo Segawa , Norio Konno

Microscopic physical laws are time-symmetric, hence, a priori there exists no preferential temporal direction. However, the second law of thermodynamics allows one to associate the "forward" temporal direction to a positive variation of the…

Quantum Physics · Physics 2021-11-29 Giulia Rubino , Gonzalo Manzano , Časlav Brukner

The mechanism by which thermodynamics sets the direction of time's arrow has long fascinated scientists. Here, we show that a machine learning algorithm can learn to discern the direction of time's arrow when provided with a system's…

Statistical Mechanics · Physics 2019-09-30 Alireza Seif , Mohammad Hafezi , Christopher Jarzynski

This study proposes a time-symmetric framework for quantum measurement that restores microscopic reversibility at the level of the dynamical description while remaining compatible with causality and thermodynamic consistency. Instead of…

Quantum Physics · Physics 2025-12-01 Shin-ichi Inage

We study a quantum theory with complex time parameter and non-Hermitian Hamiltonian structure. In this theory, the real part of the complex time is equal to `usual' physical time, whereas the imaginary one is proportional to inverse…

High Energy Physics - Theory · Physics 2007-05-23 Vadim V. Asadov , Oleg V. Kechkin

In quantum physics, measurements give random results and yield a corresponding random back action on the state of the system subject to measurement. If a quantum system is probed continuously over time, its state evolves along a stochastic…

Quantum Physics · Physics 2016-03-28 N. Foroozani , M. Naghiloo , D. Tan , K. Mølmer , K. W. Murch

What is the physical origin of the arrow of time? It is a commonly held belief in the physics community that it relates to the increase of entropy as it appears in the statistical interpretation of the second law of thermodynamics. At the…

Statistical Mechanics · Physics 2023-04-19 Andreas Henriksson

An unresolved problem in physics is how the thermodynamic arrow of time arises from an underlying time reversible dynamics. We contribute to this issue by developing a measure of time-symmetry breaking, and by using the work fluctuation…

Statistical Mechanics · Physics 2008-11-26 Edward H. Feng , Gavin E. Crooks

Measurement-induced phase transitions (MIPTs) in monitored quantum systems are typically diagnosed using entanglement-based measures. Here, we develop a complementary thermodynamic perspective based on the arrow of time (AoT), which arises…

Statistical Mechanics · Physics 2026-04-23 Nitay Hurvitz , Alon Kochol , Victor Fleurov , Eran Sela

Based on the hypothesis that the thermodynamic arrow of time is an emergent phenomenon of quantum state complexity evolution, we further propose that the natural pace of time flow is proportional to the changing rate of quantum state…

Quantum Physics · Physics 2018-01-17 X. Dong , L. Zhou

We investigate a thermodynamic arrow associated with quantum projective measurements in terms of the Jensen-Shannon divergence between the probability distribution of energy change caused by the measurements and its time reversal…

Statistical Mechanics · Physics 2015-06-16 Juyeon Yi , Beom Jun Kim

A model quantum cosmology is used to illustrate how arrows of time emerge in a universe governed by a time-neutral dynamical theory constrained by time asymmetric initial and final boundary conditions represented by initial and final…

General Relativity and Quantum Cosmology · Physics 2020-02-18 James B. Hartle
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