Matrix product states, random matrix theory and the principle of maximum entropy

DOI10.1007/s00220-013-1718-xzbMath1270.15024arXiv1201.6324OpenAlexW2071389404WikidataQ59474334 ScholiaQ59474334MaRDI QIDQ2376337

Carlos E. González-Guillén, David Pérez-García, Benoit Collins

Publication date: 21 June 2013

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

Full work available at URL: https://arxiv.org/abs/1201.6324

zbMATH Keywords

random matricesmaximum entropyinformation theoryground statesprobability theoryShannon entropyspin statesWeingarten calculus

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Measures of information, entropy (94A17)

Related Items (10)

Weak multiplicativity for random quantum channels ⋮ Holographic duality from random tensor networks ⋮ Moment methods on compact groups: Weingarten calculus and its applications ⋮ Random tensor networks with non-trivial links ⋮ A graphical calculus for integration over random diagonal unitary matrices ⋮ Weingarten calculus via orthogonality relations: new applications ⋮ Random matrix techniques in quantum information theory ⋮ Typical entanglement for Gaussian states ⋮ RTNI—A symbolic integrator for Haar-random tensor networks ⋮ Additivity rates and PPT property for random quantum channels

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