Stochastic Matrix Product States
Quantum Physics
2015-03-13 v3 Statistical Mechanics
Abstract
The concept of stochastic matrix product states is introduced and a natural form for the states is derived. This allows to define the analogue of Schmidt coefficients for steady states of non-equilibrium stochastic processes. We discuss a new measure for correlations which is analogous to the entanglement entropy, the entropy cost , and show that this measure quantifies the bond dimension needed to represent a steady state as a matrix product state. We illustrate these concepts on the hand of the asymmetric exclusion process.
Keywords
Cite
@article{arxiv.1003.2545,
title = {Stochastic Matrix Product States},
author = {Kristan Temme and Frank Verstraete},
journal= {arXiv preprint arXiv:1003.2545},
year = {2015}
}