Tangent-space methods for truncating uniform MPS

2020/01/31 by Bram Vanhecke, Vanhecke, Bram, Maarten Van Damme +7 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.stat-mech #cond-mat.str-el #quant-ph

paper · pdf · doi:10.48550/arxiv.2001.11882

arxiv created 2021/02/11 · arxiv updated 2021/02/12

Abstract

A central primitive in quantum tensor network simulations is the problem of approximating a matrix product state with one of a lower bond dimension. This problem forms the central bottleneck in algorithms for time evolution and for contracting projected entangled pair states. We formulate a tangent-space based variational algorithm to achieve this for uniform (infinite) matrix product states. The algorithm exhibits a favourable scaling of the computational cost, and we demonstrate its usefulness by several examples involving the multiplication of a matrix product state with a matrix product operator.

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• Extracting average properties of disordered spin chains with translationally invariant tensor networks

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