Stuttgart 2012 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 49: Quanteninformation: Konzepte und Methoden 5

Q 49.3: Vortrag

Donnerstag, 15. März 2012, 14:30–14:45, V7.01

Quasi-locality and efficient simulation of Markovian quantum dynamics — •Thomas Barthel1,2 and Martin Kliesch1,21Dahlem Center für komplexe Quantensysteme, Freie Universität Berlin, 14195 Berlin — 2Institut für Physik und Astronomie, Universität Potsdam, 14476 Potsdam

This presentation addresses 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 quasi-local, 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, the 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 Schrödinger picture, the results can be used to rigorously bound finite-size effects. Reference: arXiv:1111.4210.

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