Density Matrix Renormalization Group and Periodic Boundary Conditions: A Quantum Information Perspective
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- 23 November 2004
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 93 (22) , 227205
- https://doi.org/10.1103/physrevlett.93.227205
Abstract
We introduce a picture to analyze the density matrix renormalization group (DMRG) numerical method from a quantum information perspective. This leads to a variational formulation of DMRG which allows for dramatic improvements in the case of problems with periodic boundary conditions. The picture also explains some features of the method in terms of entanglement and teleportation.Keywords
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This publication has 17 references indexed in Scilit:
- Diverging Entanglement Length in Gapped Quantum Spin SystemsPhysical Review Letters, 2004
- Entanglement versus Correlations in Spin SystemsPhysical Review Letters, 2004
- Entanglement in Quantum Critical PhenomenaPhysical Review Letters, 2003
- Equivalence of the variational matrix product method and the density matrix renormalization group applied to spin chainsEurophysics Letters, 1998
- Class of ansatz wave functions for one-dimensional spin systems and their relation to the density matrix renormalization groupPhysical Review B, 1997
- Thermodynamic Limit of Density Matrix RenormalizationPhysical Review Letters, 1995
- Density-matrix algorithms for quantum renormalization groupsPhysical Review B, 1993
- Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channelsPhysical Review Letters, 1993
- Density matrix formulation for quantum renormalization groupsPhysical Review Letters, 1992
- Finitely correlated states on quantum spin chainsCommunications in Mathematical Physics, 1992