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Stochastic matrix product states.

Authors
Type
Published Article
Journal
Physical Review Letters
1079-7114
Publisher
American Physical Society
Publication Date
Volume
104
Issue
21
Pages
210502–210502
Identifiers
PMID: 20867081
Source
Medline
License
Unknown

Abstract

The concept of stochastic matrix product states is introduced and a natural form for the states is derived. This allows us to define the analogue of Schmidt coefficients for steady states of nonequilibrium stochastic processes. We discuss a new measure for correlations which is analogous to entanglement entropy, the entropy cost S(C), 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 basis of the asymmetric exclusion process.

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