Bures–Hall ensemble: spectral densities and average entropies (Q5055680)

scientific article; zbMATH DE number 7630976

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English	Bures–Hall ensemble: spectral densities and average entropies	scientific article; zbMATH DE number 7630976

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instance of

scholarly article

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title

Bures–Hall ensemble: spectral densities and average entropies (English)

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published in

Journal of Physics A: Mathematical and Theoretical

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publication date

9 December 2022

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full work available at URL

https://arxiv.org/abs/1901.09587

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zbMATH Keywords

Bures-Hall ensemble

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eigenvalue statistics

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random density matrices

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average entropies

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MaRDI profile type

MaRDI publication profile

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cites work

Q3292400

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Statistical properties of random density matrices

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Hall normalization constants for the Bures volumes of then-state quantum systems

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Bures volume of the set of mixed quantum states

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Generating random density matrices

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Average entropy of a subsystem

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Distribution of bipartite entanglement for random pure states

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Exact minimum eigenvalue distribution of an entangled random pure state

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Phase Transitions of Bipartite Entanglement

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Exact Formula of the Distribution of Schmidt Eigenvalues for Dynamical Formation of Entanglement in Quantum Chaos

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Random matrix theory of singular values of rectangular complex matrices. I: Exact formula of one-body distribution function in fixed-trace ensemble

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Entangled random pure states with orthogonal symmetry: exact results

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Smallest eigenvalue distribution of the fixed-trace Laguerre beta-ensemble

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Phase Transitions in the Distribution of Bipartite Entanglement of a Random Pure State

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Compact smallest eigenvalue expressions in Wishart–Laguerre ensembles with or without a fixed trace

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Local Statistical Properties of Schmidt Eigenvalues of Bipartite Entanglement for a Random Pure State

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Entanglement in random pure states: spectral density and average von Neumann entropy

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Statistical distribution of quantum entanglement for a random bipartite state

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Purity distribution for generalized random Bures mixed states

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Smallest eigenvalue density for regular or fixed-trace complex Wishart–Laguerre ensemble and entanglement in coupled kicked tops

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Relating the Bures measure to the Cauchy two-matrix model

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Possible generalization of Boltzmann-Gibbs statistics.

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A Class of Matrix Ensembles

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Exact solution of the \(O(n)\) model on a random lattice

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The partition function of the Bures ensemble as theτ-function of BKP and DKP hierarchies: continuous and discrete

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Correlations between eigenvalues of a random matrix

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A note on correlations between eigenvalues of a random matrix

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A note on certain multiple integrals

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Pfaffian expressions for random matrix correlation functions

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Integrable structure of Ginibre's ensemble of real random matrices and a Pfaffian integration theorem

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A new approach to derive Pfaffian structures for random matrix ensembles

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Gaussian ensembles of random Hermitian matrices intermediate between orthogonal and unitary ones

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On some Gaussian ensembles of Hermitian matrices

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Identifiers

DOI

10.1088/1751-8121/ab2675

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5055680