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A system of diagrams is introduced that allows the representation of various elements of a quantum circuit, including measurements, in a form which makes no reference to time (hence ``atemporal''). It can be used to relate quantum dynamical…

Quantum Physics · Physics 2009-11-11 Robert B. Griffiths , Shengjun Wu , Li Yu , Scott M. Cohen

We study the problem of irreversibility when the dynamical evolution of a many-body system is described by a stochastic quantum circuit. Such evolution is more general than a Hamiltonian one, and since energy levels are not well defined,…

Quantum Physics · Physics 2015-06-17 Claudio Chamon , Alioscia Hamma , Eduardo R. Mucciolo

We define dynamical universality classes for many-body systems whose unitary evolution is punctuated by projective measurements. In cases where such measurements occur randomly at a finite rate $p$ for each degree of freedom, we show that…

Statistical Mechanics · Physics 2019-07-29 Brian Skinner , Jonathan Ruhman , Adam Nahum

We propose a solvable model of Quantum Darwinism to encoding transitions -- abrupt changes in how quantum information spreads in a many-body system under unitary dynamics. We consider a random Clifford circuit on an expanding tree, whose…

Quantum Physics · Physics 2024-03-13 Benoît Ferté , Xiangyu Cao

Many complex systems can spontaneously oscillate under non-periodic forcing. Such self-oscillators are commonplace in biological and technological assemblies where temporal periodicity is needed, such as the beating of a human heart or the…

Within the context of quantum teleportation, a proposed intuitive model to explain bipartite entanglement describes the scheme as being the same qubit of information evolving along and against the flow of time of an external observer. We…

Quantum Physics · Physics 2009-11-11 M. Laforest , J. Baugh , R. Laflamme

The transition probability for time-dependent unitary evolution is invariant under the reversal of protocols just as in the classical Liouvillian dynamics. In this article, we generalize the expression of microscopic reversibility to…

Statistical Mechanics · Physics 2015-05-28 Takaaki Monnai

Decoherence is ubiquitous, and poses a significant impediment to the observation of quantum phenomena, such as the measurement-induced entanglement phase transition (MIPT). In this work, we study entanglement transitions in quantum circuits…

Quantum Physics · Physics 2025-03-10 Vikram Ravindranath , Yiqiu Han , Xiao Chen

Time-translation symmetry breaking is a mechanism for the emergence of non-stationary many-body phases, so-called time-crystals, in Markovian open quantum systems. Dynamical aspects of time-crystals have been extensively explored over the…

Quantum Physics · Physics 2024-05-08 Federico Carollo , Igor Lesanovsky , Mauro Antezza , Gabriele De Chiara

We study measurement-induced phase transitions in quantum circuits consisting of kicked Ising models with postselected weak measurements, whose dynamics can be mapped onto a classical dynamical system. For a periodic (Floquet) non-unitary…

Quantum Physics · Physics 2025-07-08 Bastien Lapierre , Liang-Hong Mo , Shinsei Ryu

We demonstrate that arbitrary time evolutions of many-body quantum systems can be reversed even in cases when only part of the Hamiltonian can be controlled. The reversed dynamics obtained via optimal control --contrary to standard…

Quantum Physics · Physics 2015-06-12 T. Caneva , A. Silva , R. Fazio , S. Lloyd , T. Calarco , S. Montangero

Using the recently proposed covariant framework of general relativistic stochastic mechanics and stochastic thermodynamics, we proved the detailed and integral fluctuation theorems in curved spacetime. The time-reversal transformation is…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Yifan Cai , Tao Wang , Liu Zhao

The idea that the dynamical properties of quantum systems are invariably relative to other systems has recently regained currency. Using Relational Quantum Mechanics (RQM) for a case study, this paper calls attention to a question that has…

History and Philosophy of Physics · Physics 2024-03-26 Timotheus Riedel

Quantum mechanics dictates that a continuous measurement of the position of an object imposes a random back action perturbation on its momentum. This randomness translates with time into position uncertainty, thus leading to the well known…

Repeated local measurements of quantum many body systems can induce a phase transition in their entanglement structure. These measurement-induced phase transitions (MIPTs) have been studied for various types of dynamics, yet most cases…

Disordered Systems and Neural Networks · Physics 2022-02-14 Aidan Zabalo , Michael J. Gullans , Justin H. Wilson , Romain Vasseur , Andreas W. W. Ludwig , Sarang Gopalakrishnan , David A. Huse , J. H. Pixley

Symmetry, irreversibility, and quantum coherence are foundational concepts in physics. Here, we present a universal tradeoff relation between these three concepts. This particularly reveals that (1) under a global symmetry, any attempt to…

Quantum Physics · Physics 2025-01-29 Hiroyasu Tajima , Ryuji Takagi , Yui Kuramochi

The concept of randomized measurements on individual particles has proven to be useful for analyzing quantum systems and is central for methods like shadow tomography of quantum states. We introduce $\textit{collective}$ randomized…

Quantum Physics · Physics 2024-08-12 Satoya Imai , Géza Tóth , Otfried Gühne

The absence of time-reversal symmetry is a fundamental property of many nonlinear time series. Here, we propose a new set of statistical tests for time series irreversibility based on standard and horizontal visibility graphs. Specifically,…

Data Analysis, Statistics and Probability · Physics 2016-04-07 Jonathan F. Donges , Reik V. Donner , Jürgen Kurths

We investigate the behavior of genuine multiparticle entanglement, as quantified by the generalized geometric measure, in gapless-to-gapped quantum transitions of one- and two-dimensional quantum spin models. The investigations are…

Quantum Physics · Physics 2014-09-09 Anindya Biswas , R. Prabhu , Aditi Sen De , Ujjwal Sen

In the event symmetric approach to quantum gravity it is assumed that the fundamental laws of physics must be invariant under exchange of any two space-time events. The fact that this symmetry if obviously not observed is attributed to the…

High Energy Physics - Theory · Physics 2007-05-23 P. E. Gibbs
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