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We characterize monitored quantum dynamics in a solvable model exhibiting a phase transition between a measurement apparatus and a scrambler. We show that approximate decoherent histories emerge in both phases with respect to a…

Quantum Physics · Physics 2026-03-23 Benoît Ferté , Davide Farci , Xiangyu Cao

Quantum Darwinism recognizes that decoherence imprints redundant records of preferred quasi-classical pointer states on the environment. These redundant records are then accessed by observers. We show how redundancy enables and even implies…

Quantum Physics · Physics 2025-03-20 Akram Touil , Bin Yan , Wojciech H. Zurek

This is a pedagogical paper where we present a physically motivated approach to introduce the coherent states of a harmonic oscillator from which it is simple to rigorously derive their mathematical definition. We do this in two different…

Quantum Physics · Physics 2024-10-23 Juan Pablo Paz , Augusto J. Roncaglia

The consistent histories formulation of the quantum theory of a closed system with pure initial state defines an infinite number of incompatible consistent sets, each of which gives a possible description of the physics. We investigate the…

General Relativity and Quantum Cosmology · Physics 2011-08-04 Adrian Kent , Jim McElwaine

Recently, the emergence of classical objectivity as a property of a quantum state has been explicitly derived for a small object embedded in a photonic environment in terms of a spectrum broadcast form---a specific classically correlated…

Quantum Physics · Physics 2015-06-18 J. K. Korbicz , P. Horodecki , R. Horodecki

The nonclassicality of quantum states is a fundamental resource for quantum technologies and quantum information tasks in general. In particular, a pivotal aspect of quantum states lies in their coherence properties, encoded in the…

Quantum Physics · Physics 2024-04-08 Luca Innocenti , Lukas Lachman , Radim Filip

Nonclassicality cannot be a single-observable property since the statistics of any quantum observable is compatible with classical physics. We develop a general procedure to reveal nonclassical behavior from the joint measurement of…

Quantum Physics · Physics 2016-05-04 Alfredo Luis

Simultaneous decoherence of conjugate observables of an open quantum system leads to a classical statistical mechanical description with constant phase space probability density in terms of a uniform ensemble. We investigate a scenario…

Quantum Physics · Physics 2026-03-30 S. Adarsh , P. N. Bala Subramanian , Sreeraj T. P

Zurek, Habib and Paz [W. H. Zurek, S. Habib and J. P. Paz, Phys. Rev. Lett. {\bf 70} (1993)\ 1187] have characterized the set of states of maximal stability defined as the set of states having minimum entropy increase due to interaction…

Quantum Physics · Physics 2009-10-28 Michael R. Gallis

State smoothing is a technique to estimate a state at a particular time, conditioned on information obtained both before (past) and after (future) that time. For a classical system, the smoothed state is a normalized product of the…

Quantum Physics · Physics 2024-04-04 Kiarn T. Laverick , Prahlad Warszawski , Areeya Chantasri , Howard M. Wiseman

We introduce a simple measure of "classicality" of pure and mixed quantum states as a maximum value of the Hilbert-Schmidt "scalar products" between the renormalized statistical operators of the state concerned and all displaced thermal…

Quantum Physics · Physics 2010-06-29 V. V. Dodonov , M. B. Reno

We present a detailed report on the decoherence of quantum states of continuous variable systems under the action of a quantum optical master equation resulting from the interaction with general Gaussian uncorrelated environments. The rate…

Quantum Physics · Physics 2007-05-23 A. Serafini , M. G. A. Paris , F. Illuminati , S. De Siena

A bosonic state is commonly considered nonclassical (or quantum) if its Glauber-Sudarshan $P$ function is not a classical probability density, which implies that only coherent states and their statistical mixtures are classical. We quantify…

Quantum Physics · Physics 2022-06-10 Adam Miranowicz , Karol Bartkiewicz , Anirban Pathak , Jan Perina , Yueh-Nan Chen , Franco Nori

We show that several classes of mixed quantum states in finite-dimensional Hilbert spaces which can be characterized as being, in some respect, 'most classical' can be described and analyzed in a unified way. Among the states we consider…

Quantum Physics · Physics 2013-05-29 Marek Kuś , Ingemar Bengtsson

We discuss the classical statistics of isolated subsystems. Only a small part of the information contained in the classical probability distribution for the subsystem and its environment is available for the description of the isolated…

Quantum Physics · Physics 2015-05-13 C. Wetterich

It is often said that the transition from quantum to classical worlds is caused by decoherence originated from an interaction between a system of interest and its surrounding environment. Here we establish a computational quantum-classical…

Quantum Physics · Physics 2016-04-08 Keisuke Fujii , Shuhei Tamate

Maximally predictive states, as defined in recent work by Zurek, Habib and Paz, are studied for more elaborate environment models than a linear coupling. An environment model which includes spatial correlations in the noise is considered in…

Quantum Physics · Physics 2007-05-23 Michael R. Gallis

The consistent histories formalism can be used to describe histories comprised of events across many systems, times, and places, plausibly rich enough to describe our experiences of the classical world; however, many consistent history sets…

Quantum Physics · Physics 2026-05-11 Nick Ormrod , Tein van der Lugt , Yìlè Yīng , Jarosław K. Korbicz

We give a criterion of classicality for mixed states in terms of expectation values of a quantum observable. Using group representation theory we identify all cases when the criterion can be computed exactly in terms of the spectrum of a…

Mathematical Physics · Physics 2015-06-03 Michał Oszmaniec , Marek Kuś

A state selected at random from the Hilbert space of a many-body system is overwhelmingly likely to exhibit highly non-classical correlations. For these typical states, half of the environment must be measured by an observer to determine…

Quantum Physics · Physics 2013-03-26 C. Jess Riedel , Wojciech H. Zurek , Michael Zwolak