2011/11/30 by Thomas Barthel, Martin Kliesch · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Computer science #Markov process #Master equation #Mathematical analysis #Mathematics #Observable #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Range (aeronautics) #Statistical physics #Time evolution #Upper and lower bounds #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physrevlett.108.230504
published as Phys. Rev. Lett. 108, 230504 (2012) · 5 pages + 2 pages appendix, 2 figures; minor improvements; published version
openalex publication_date 2012/06/05 · arxiv created 2012/08/09 · arxiv updated 2012/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 Schrödinger picture, our result can be used to rigorously bound finite-size effects.