The Shannon-McMillan Theorem for Ergodic Quantum Lattice Systems

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dc.creatorBjelakovic, Igor
dc.creatorKrueger, Tyll
dc.creatorSiegmund-Schultze, Rainer
dc.creatorSzkola, Arleta
dc.date2002-07-15
dc.date2002-11-20
dc.date.accessioned2026-07-07T08:18:09Z
dc.date.available2026-07-07T08:18:09Z
dc.descriptionWe formulate and prove a quantum Shannon-McMillan theorem. The theorem demonstrates the significance of the von Neumann entropy for translation invariant ergodic quantum spin systems on n-dimensional lattices: the entropy gives the logarithm of the essential number of eigenvectors of the system on large boxes. The one-dimensional case covers quantum information sources and is basic for coding theorems.
dc.description21 pages, extended version concerning subalgebras
dc.identifierhttps://arxiv.org/abs/math/0207121
dc.identifierhttp://arxiv.org/abs/math/0207121
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134335
dc.subjectDynamical Systems
dc.subjectData Structures and Algorithms
dc.subjectInformation Theory
dc.subjectMathematical Physics
dc.subjectOperator Algebras
dc.subjectQuantum Physics
dc.subject46L89; 68P30; 81Qxx
dc.titleThe Shannon-McMillan Theorem for Ergodic Quantum Lattice Systems
dc.typetext

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