Homogeneous multiscale-entanglement-renormalization-ansatz states: An information theoretical analysis

Journal Article · Fri May 15 00:00:00 EDT 2009 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.79.052314· OSTI ID:21300822

Giovannetti, V; Fazio, Rosario ^[1]; Montangero, S ^[2]; Rizzi, M ^[3]

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1. NEST CNR-INFM and Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126 Pisa (Italy)
2. Institut fuer Quanteninformationsverarbeitung, Universitaet Ulm, D-89069 Ulm (Germany)
3. Max-Planck-Institut fuer Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching (Germany)

Homogeneous multiscale entanglement renormalization ansatz states have been recently introduced to describe quantum critical systems. Here we present an extensive analysis of the properties of such states by clarifying the definition of their transfer superoperator whose structure is studied within an informational theoretical approach. Explicit expressions for computing the expectation values of symmetric observables are given both in the case of finite size systems and in the thermodynamic limit of infinitely many particles.

• OSTI ID: 21300822
• Journal Information: Physical Review. A, Vol. 79, Issue 5; Other Information: DOI: 10.1103/PhysRevA.79.052314; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM ENTANGLEMENT
QUANTUM INFORMATION
RENORMALIZATION
SYMMETRY
THERMODYNAMICS