Renormalization-Group Transformations on Quantum States

F. Verstraete, J. I. Cirac, J. I. Latorre, E. Rico, and M. M. Wolf
Phys. Rev. Lett. 94, 140601 – Published 14 April 2005
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    Abstract

    We construct a general renormalization-group transformation on quantum states, independent of any Hamiltonian dynamics of the system. We illustrate this procedure for translational invariant matrix product states in one dimension and show that product, Greenberger-Horne-Zeilinger, W, and domain wall states are special cases of an emerging classification of the fixed points of this coarse-graining transformation.

    • Received 2 November 2004

    DOI:https://doi.org/10.1103/PhysRevLett.94.140601

    ©2005 American Physical Society

    Authors & Affiliations

    F. Verstraete1, J. I. Cirac2, J. I. Latorre3, E. Rico3, and M. M. Wolf2

    • 1Institute for Quantum Information, California Institute of Technology, Pasadena, California 91125, USA
    • 2Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, Garching, D-85748, Germany
    • 3Departamento d’Estructura i Constituents de la Matèria, Universidad Barcelona, 08028, Barcelona, Spain

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    Vol. 94, Iss. 14 — 15 April 2005

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