Renormalization-Group Transformations on Quantum States
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.
- Publication:
-
Physical Review Letters
- Pub Date:
- April 2005
- DOI:
- arXiv:
- arXiv:quant-ph/0410227
- Bibcode:
- 2005PhRvL..94n0601V
- Keywords:
-
- 05.10.Cc;
- 03.65.Ca;
- 03.65.Ud;
- 03.67.Hk;
- Renormalization group methods;
- Formalism;
- Entanglement and quantum nonlocality;
- Quantum communication;
- Quantum Physics;
- Statistical Mechanics
- E-Print:
- 5 pages, 2 figure