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

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Publication:5391142
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DOI10.1093/imrn/rnq091zbMath1211.81033arXiv0912.3999OpenAlexW1974832476MaRDI QIDQ5391142

Da-Sheng Zhou, Dang-Zheng Liu

Publication date: 6 April 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.3999



Mathematics Subject Classification ID

Quantum chaos (81Q50) Random matrices (algebraic aspects) (15B52) Quantum coherence, entanglement, quantum correlations (81P40)


Related Items (6)

Bures–Hall ensemble: spectral densities and average entropies ⋮ Smallest eigenvalue density for regular or fixed-trace complex Wishart–Laguerre ensemble and entanglement in coupled kicked tops ⋮ Largest Schmidt eigenvalue of random pure states and conductance distribution in chaotic cavities ⋮ Some universal properties for restricted trace Gaussian orthogonal, unitary and symplectic ensembles ⋮ Relating the Bures measure to the Cauchy two-matrix model ⋮ Exact eigenvalue order statistics for the reduced density matrix of a bipartite system




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