Renormalization group transformations on quantum states

Details Renormalization group transformations on quantum states Renormalization group transformations on quantum states

2004-10-27

arxiv.org/abs/quant-ph/0410227v1

Phys.Rev.Lett. 94 (2005) 140601

Physics

Quantum Physics

5 pages, 2 figure

Scientific paper

10.1103/PhysRevLett.94.140601

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, GHZ, 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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