Random tensor theory: Extending random matrix theory to mixtures of random product states

DOI10.1007/s00220-011-1411-xzbMath1243.15021arXiv0910.0472OpenAlexW3098813835MaRDI QIDQ664332

Matthew B. Hastings, Andris Ambainis, Aram W. Harrow

Publication date: 1 March 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.0472

zbMATH Keywords

quantum information theoryrandom matrix theoryspectral densityGaussian ensemble

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items

Central limit theorem for linear eigenvalue statistics for a tensor product version of sample covariance matrices ⋮ Marchenko–Pastur law with relaxed independence conditions ⋮ Marchenko-Pastur law for a random tensor model ⋮ Strong limit theorem for largest entry of large-dimensional random tensor ⋮ Limiting behavior of largest entry of random tensor constructed by high-dimensional data ⋮ The asymptotics of quantum max-flow min-cut ⋮ Random matrix techniques in quantum information theory ⋮ The joint distribution of the marginals of multipartite random quantum states ⋮ On spectral distribution of sample covariance matrices from large dimensional and large \(k\)-fold tensor products

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