English

Renormalization group transformations on quantum states

Quantum Physics 2009-11-10 v1 Statistical Mechanics High Energy Physics - Theory

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, GHZ, W and domain wall states are special cases of an emerging classification of the fixed points of this coarse--graining transformation.

Keywords

Cite

@article{arxiv.quant-ph/0410227,
  title  = {Renormalization group transformations on quantum states},
  author = {F. Verstraete and J. I. Cirac and J. I. Latorre and E. Rico and M. M. Wolf},
  journal= {arXiv preprint arXiv:quant-ph/0410227},
  year   = {2009}
}

Comments

5 pages, 2 figure