Exact eigenvalue order statistics for the reduced density matrix of a bipartite system
type: Item
instance of: scholarly article
title: Exact eigenvalue order statistics for the reduced density matrix of a bipartite system
author: Yanyan Li
published in: Annals of Physics
publication date: 2022-11-03T00:00:00Z
full work available at URL: https://arxiv.org/abs/2110.01022
Mathematics Subject Classification ID: 82-XX
Mathematics Subject Classification ID: 81-XX
zbMATH DE Number: 7611876
zbMATH Keywords: bipartite system
zbMATH Keywords: random complex pure state
zbMATH Keywords: Gaussian ensemble
zbMATH Keywords: reduced density matrix
zbMATH Keywords: eigenvalue order statistic
MaRDI profile type: Publication
OpenAlex ID: W3204041445
Wikidata QID: Q114209451
cites work: Asymptotic properties for covariance matrices of order statistics
cites work: Entropy of an n-system from its correlation with a k-reservoir
cites work: On the Distribution of a Scaled Condition Number
cites work: Average entropy of a subsystem
cites work: Proof of Page’s conjecture on the average entropy of a subsystem
cites work: Statistical properties of random density matrices
cites work: Geometry of Quantum States
cites work: Entanglement of random vectors
cites work: Purity distribution for bipartite random pure states
cites work: Exact minimum eigenvalue distribution of an entangled random pure state
cites work: Exact Formula of the Distribution of Schmidt Eigenvalues for Dynamical Formation of Entanglement in Quantum Chaos
cites work: Ordered Eigenvalues of a General Class of Hermitian Random Matrices With Application to the Performance Analysis of MIMO Systems
cites work: Random matrix theory of singular values of rectangular complex matrices. I: Exact formula of one-body distribution function in fixed-trace ensemble
cites work: Local Statistical Properties of Schmidt Eigenvalues of Bipartite Entanglement for a Random Pure State
cites work: Smallest eigenvalue distribution of the fixed-trace Laguerre beta-ensemble
cites work: Entangled random pure states with orthogonal symmetry: exact results
cites work: Largest Schmidt eigenvalue of random pure states and conductance distribution in chaotic cavities
cites work: Index distribution of Cauchy random matrices
cites work: Entanglement dynamics in a model tripartite quantum system
cites work: Large deviations of the shifted index number in the Gaussian ensemble
cites work: Order statistics of the moduli of the eigenvalues of product random matrices from polynomial ensembles
cites work: Recursion scheme for the largest $\beta$ -Wishart–Laguerre eigenvalue and Landauer conductance in quantum transport
cites work: Exact distribution of random order statistics and applications in risk management
DOI: 10.1016/J.AOP.2022.169107
description: scientific article; zbMATH DE number 7611876