Measurement-induced criticality in random quantum circuits
TLDR
In this paper, the authors propose a theory for the area-law to volume-law entanglement transition in many-body systems that undergo both random unitary evolutions and projective measurements.Abstract:
A new class of quantum entanglement transitions separating phases with different entanglement entropy scaling has been observed in recent numerical studies. Despite the numerical efforts, an analytical understanding of such transitions has remained elusive. Here, the authors propose a theory for the area-law to volume-law entanglement transition in many-body systems that undergo both random unitary evolutions and projective measurements. Using the replica method, the authors map analytically this entanglement transition to an ordering transition in a classical statistical mechanics model. They derive the general entanglement scaling properties at the transition and show a solvable limit where this transition can be mapped onto two-dimensional percolation.read more
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Annual review 腎臓
TL;DR: In this paper, the authors propose a method to improve the quality of education for children in the developing world:1Basicblnephrojスセy(生理;免疫・病理 ;分子生物学.
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Theory of the phase transition in random unitary circuits with measurements
TL;DR: In this article, the authors present a theoretical framework to understand collective effects in the dynamics of quantum entanglement and information, using the tools of statistical mechanics, in order to identify a measurement-induced phase transition in the information content of the system.
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Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
TL;DR: In this article, a random unitary circuit model with intermittent projective measurements is introduced, in which the degree of information scrambling by the unitary and the rate of projective measurement are independently controlled.
References
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Conformal Field Theory
TL;DR: This paper developed conformal field theory from first principles and provided a self-contained, pedagogical, and exhaustive treatment, including a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algesas.
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Chaos and quantum thermalization
TL;DR: It is shown that a bounded, isolated quantum system of many particles in a specific initial state will approach thermal equilibrium if the energy eigenfunctions which are superposed to form that state obey Berry's conjecture, and argued that these results constitute a sound foundation for quantum statistical mechanics.
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Quantum statistical mechanics in a closed system
TL;DR: A closed quantum-mechanical system with a large number of degrees of freedom does not necessarily give time averages in agreement with the microcanonical distribution, so by adding a finite but very small perturbation in the form of a random matrix, the results of quantum statistical mechanics are recovered.
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Many-Body Localization and Thermalization in Quantum Statistical Mechanics
Rahul Nandkishore,David A. Huse +1 more
TL;DR: In this paper, the authors provide a brief introduction to quantum thermalization, paying particular attention to the eigenstate thermalization hypothesis (ETH) and the resulting single-eigenstate statistical mechanics.