Exact eigenvalue order statistics for the reduced density matrix of a bipartite system

DOI10.1016/j.aop.2022.169107OpenAlexW3204041445WikidataQ114209451 ScholiaQ114209451MaRDI QIDQ2092796

Yanyan Li

Publication date: 3 November 2022

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.01022

zbMATH Keywords

Gaussian ensemblereduced density matrixbipartite systemeigenvalue order statisticrandom complex pure state

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Entanglement dynamics in a model tripartite quantum system
• Random matrix theory of singular values of rectangular complex matrices. I: Exact formula of one-body distribution function in fixed-trace ensemble
• Order statistics of the moduli of the eigenvalues of product random matrices from polynomial ensembles
• Exact distribution of random order statistics and applications in risk management
• Exact minimum eigenvalue distribution of an entangled random pure state
• Entangled random pure states with orthogonal symmetry: exact results
• Exact Formula of the Distribution of Schmidt Eigenvalues for Dynamical Formation of Entanglement in Quantum Chaos
• Largest Schmidt eigenvalue of random pure states and conductance distribution in chaotic cavities
• Large deviations of the shifted index number in the Gaussian ensemble
• Entanglement of random vectors
• Smallest eigenvalue distribution of the fixed-trace Laguerre beta-ensemble
• On the Distribution of a Scaled Condition Number
• Asymptotic properties for covariance matrices of order statistics
• Entropy of an n-system from its correlation with a k-reservoir
• Average entropy of a subsystem
• Proof of Page’s conjecture on the average entropy of a subsystem
• Ordered Eigenvalues of a General Class of Hermitian Random Matrices With Application to the Performance Analysis of MIMO Systems
• Statistical properties of random density matrices
• Local Statistical Properties of Schmidt Eigenvalues of Bipartite Entanglement for a Random Pure State
• Index distribution of Cauchy random matrices
• Purity distribution for bipartite random pure states
• Geometry of Quantum States
• Recursion scheme for the largest $\beta$ -Wishart–Laguerre eigenvalue and Landauer conductance in quantum transport

This page was built for publication: Exact eigenvalue order statistics for the reduced density matrix of a bipartite system