Renormalization-group transformations on quantum states

F. Verstraete; J. I. Cirac; J. I. Latorre; E. Rico; M. M. Wolf

doi:10.1103/PhysRevLett.94.140601

Renormalization-group transformations on quantum states

F. Verstraete, J. I. Cirac, J. I. Latorre, E. Rico, M. M. Wolf

Research output: Contribution to journal › Article › peer-review

153 Scopus citations

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.

Original language	English
Article number	140601
Journal	Physical Review Letters
Volume	94
Issue number	14
DOIs	https://doi.org/10.1103/PhysRevLett.94.140601
State	Published - 15 Apr 2005
Externally published	Yes

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10.1103/PhysRevLett.94.140601

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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.",

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AU - Rico, E.

AU - Wolf, M. M.

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AB - 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.

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JO - Physical Review Letters

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Renormalization-group transformations on quantum states

Abstract

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