Strings, Projected Entangled Pair States, and variational Monte Carlo methods

Abstract

We introduce string-bond states, a class of states obtained by placing strings of operators on a lattice, which encompasses the relevant states in Quantum Information. For string-bond states, expectation values of local observables can be computed efficiently using Monte Carlo sampling, making them suitable for a variational abgorithm which extends DMRG to higher dimensional and irregular systems. Numerical results demonstrate the applicability of these states to the simulation of many-body sytems.

4 pages. v2: Submitted version, containing more numerical data. Changed title and renamed "string states" to "string-bond states" to comply with PRL conventions. v3: Accepted version, Journal-Ref. added (title differs from journal)

References in corpus (5)

• Criticality, the area law, and the computational power of PEPS
• Valence Bond Solids for Quantum Computation
• Entropy and Entanglement in Quantum Ground States
• Variational quantum Monte Carlo simulations with tensor-network states
• Ground state approximation for strongly interacting systems in arbitrary dimension

Cited by in corpus (4)

• On entropy growth and the hardness of simulating time evolution
• Sequentially generated states for the study of two dimensional systems
• Assessing the accuracy of projected entangled-pair states on infinite lattices
• Rapidly-converging methods for the location of quantum critical points from finite-size data