articlePhysical Review BMar 20, 2006BRONZE OA

Matrix product states represent ground states faithfully

FVFrank VerstraeteJIJ. I. Cirac

California Institute of Technology · Max Planck Institute of Quantum Optics

Indexed inarxivcrossref

Abstract

We quantify how well matrix product states approximate exact ground states of one-dimensional quantum spin systems as a function of the number of spins and the entropy of blocks of spins. We also investigate the convex set of local reduced density operators of translational invariant systems. The results give a theoretical justification for the high accuracy of renormalization group algorithms and justifies their use even in the case of critical systems.

Citation impact

748
total citations
FWCI
20.42
Percentile
100%
References
38
Citations per year

Authors

2

Topics & keywords

Topics
Keywords
  • Spins
  • Matrix multiplication
  • Ground state
  • Invariant (physics)
  • Density matrix renormalization group
  • Density matrix
  • Matrix product state
  • Product (mathematics)
No related works found for this paper.

Funding