Stochastic Matrix Product States

Autor(en)

Kristan Paul Temme, Frank Verstraete

Abstrakt

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 SC, 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.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Journal

Physical Review Letters

Band

104

Anzahl der Seiten

4

ISSN

0031-9007

DOI

https://doi.org/10.1103/PhysRevLett.104.210502

Publikationsdatum

05-2010

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/201e55c1-d776-471e-90e5-ab4aaab0de5d