Variational quantum Monte Carlo simulations with tensor-network states

Sandvik, A. W. and Vidal, G. (2007) Variational quantum Monte Carlo simulations with tensor-network states. Physical Review Letters, 99 22: 220602-1-220602-4. doi:10.1103/PhysRevLett.99.220602

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Author Sandvik, A. W.
Vidal, G.
Title Variational quantum Monte Carlo simulations with tensor-network states
Journal name Physical Review Letters   Check publisher's open access policy
ISSN 0031-9007
Publication date 2007-11-30
Sub-type Article (original research)
DOI 10.1103/PhysRevLett.99.220602
Open Access Status File (Publisher version)
Volume 99
Issue 22
Start page 220602-1
End page 220602-4
Total pages 4
Editor George Basbas
Jack Sandweiss
Reinhardt B. Schuhmann
Stanley G. Brown
Place of publication United States
Publisher The American Physical Society
Collection year 2007
Language eng
Subject 230116 Numerical Analysis
C1
780102 Physical sciences
Abstract We show that the formalism of tensor-network states, such as the matrix-product states (MPS), can be used as a basis for variational quantum Monte Carlo simulations. Using a stochastic optimization method, we demonstrate the potential of this approach by explicit MPS calculations for the transverse Ising chain with up to N=256 spins at criticality, using periodic boundary conditions and D x D matrices with D up to 48. The computational cost of our scheme formally scales as ND3, whereas standard MPS approaches and the related density matrix renormalization group method scale as ND5 and ND6, respectively, for periodic systems.
Keyword Physics, Multidisciplinary
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
2008 Higher Education Research Data Collection
 
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Citation counts: TR Web of Science Citation Count  Cited 58 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 60 times in Scopus Article | Citations
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