Renormalization and tensor product states in spin chains and lattices

Author(s): J. I. Cirac, F. Verstraete

Journal: J. Phys. A: Math. Theor.

Volume: 42

Page(s): 504004

Year: 2009

DOI Number: 10.1088/1751-8113/42/50/504004

Link: Link to publication


We review different descriptions of many--body quantum systems in terms of tensor product states. We introduce several families of such states in terms of known renormalization procedures, and show that they naturally arise in that context. We concentrate on Matrix Product States, Tree Tensor States, Multiscale Entanglement Renormalization Ansatz, and Projected Entangled Pair States. We highlight some of their properties, and show how they can be used to describe a variety of systems.


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