TY  - JOUR
A1  - Barthel, Thomas
A1  - Kliesch, Martin
T1  - Quasilocality and efficient simulation of Markovian Quantum Dynamics
JF  - Physical review letters
N2  - We consider open many-body systems governed by a time-dependent quantum master equation with short-range interactions. With a generalized Lieb-Robinson bound, we show that the evolution in this very generic framework is quasilocal; i.e., the evolution of observables can be approximated by implementing the dynamics only in a vicinity of the observables' support. The precision increases exponentially with the diameter of the considered subsystem. Hence, time evolution can be simulated on classical computers with a cost that is independent of the system size. Providing error bounds for Trotter decompositions, we conclude that the simulation on a quantum computer is additionally efficient in time. For experiments and simulations in the Schrodinger picture, our result can be used to rigorously bound finite-size effects.
Y1  - 2012
U6  - https://doi.org/10.1103/PhysRevLett.108.230504
SN  - 0031-9007
VL  - 108
IS  - 23
PB  - American Physical Society
CY  - College Park
ER  -