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

DOI10.1088/1751-8121/aa7d0ezbMath1373.81074arXiv1701.07402OpenAlexW2580530721MaRDI QIDQ5365167

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Publication date: 6 October 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.07402

zbMATH Keywords

quantum entanglementTracy-Widom densitycoupled kicked topsfixed trace ensembleSchmidt eigenvaluessmallest eigenvalue densityWishart Languerre ensemble

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Monte Carlo methods (65C05) Channel models (including quantum) in information and communication theory (94A40) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (6)

Bures–Hall ensemble: spectral densities and average entropies ⋮ Exact distribution of largest Schmidt eigenvalue for quantum entanglement ⋮ Volume of the set of LOCC-convertible quantum states ⋮ Recursion for the smallest eigenvalue density of \(\beta \)-Wishart-Laguerre ensemble ⋮ Spectral statistics for the difference of two Wishart matrices ⋮ Recursion scheme for the largest $\beta$ -Wishart–Laguerre eigenvalue and Landauer conductance in quantum transport

Uses Software

• Mathematica

Cites Work

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