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Exploiting translational invariance in Matrix Product State simulations of spin chains with periodic boundary conditions
B. Pirvu, F. Verstraete, G. Vidal
We present a matrix product state (MPS) algorithm to approximate ground states of translationally invariant systems with periodic boundary conditions. For a fixed value of the bond…
Holographic quantum states
Tobias J. Osborne, Jens Eisert, Frank Verstraete
We show how continuous matrix product states of quantum field theories can be described in terms of the dissipative non-equilibrium dynamics of a lower-dimensional auxiliary bounda…
The -divergence and Mixing times of quantum Markov processes
K. Temme, M. J. Kastoryano, M. B. Ruskai +2
We introduce quantum versions of the -divergence, provide a detailed analysis of their properties, and apply them in the investigation of mixing times of quantum Markov proces…
Stochastic Matrix Product States
Kristan Temme, Frank Verstraete
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 st…