The Shannon-McMillan Theorem for Ergodic Quantum Lattice Systems

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We 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.
21 pages, extended version concerning subalgebras

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Dynamical Systems, Data Structures and Algorithms, Information Theory, Mathematical Physics, Operator Algebras, Quantum Physics, 46L89; 68P30; 81Qxx

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http://salesiana.dossiersoluciones.com/handle/123456789/134335

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0207121
 http://arxiv.org/abs/math/0207121

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arXiv