Physics – Quantum Physics
Scientific paper
2010-03-12
Phys. Rev. Lett. 104, 210502 (2010)
Physics
Quantum Physics
Scientific paper
10.1103/PhysRevLett.104.210502
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 $S_C$, 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 hand of the asymmetric exclusion process.
Temme Kristan
Verstraete Frank
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