DMRG and periodic boundary conditions: a quantum information perspective

Abstract

We introduce a picture to analyze the density matrix renormalization group (DMRG) numerical method from a quantum information perspective. This leads us to introduce some modifications for problems with periodic boundary conditions in which the results are dramatically improved. The picture also explains some features of the method in terms of entanglement and teleportation.

arXiv comment4 pages

References in corpus (9)

• Entanglement in quantum critical phenomena
• Efficient classical simulation of slightly entangled quantum computations
• Entanglement in a simple quantum phase transition
• Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
• Entanglement versus Correlations in Spin Systems
• A class of ansatz wave functions for 1D spin systems and their relation to DMRG
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Equivalence of the Variational Matrix Product Method and the Density Matrix Renormalization Group applied to Spin Chains
• Fixed Point of the Finite System DMRG

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