Complexity of controlling quantum many-body dynamics

T. Caneva, A. Silva, R. Fazio, S. Lloyd, T. Calarco, and S. Montangero
Phys. Rev. A 89, 042322 – Published 23 April 2014

Abstract

We demonstrate that arbitrary time evolutions of many-body quantum systems can be reversed even in cases when only part of the Hamiltonian can be controlled. The reversed dynamics obtained via optimal control—contrary to standard time-reversal procedures—is extremely robust to external sources of noise. We provide a lower bound on the control complexity of a many-body quantum dynamics in terms of the dimension of the manifold supporting it, elucidating the role played by integrability in this context.

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  • Received 25 January 2013
  • Revised 14 December 2013

DOI:https://doi.org/10.1103/PhysRevA.89.042322

©2014 American Physical Society

Authors & Affiliations

T. Caneva1,2, A. Silva3,4, R. Fazio5, S. Lloyd6, T. Calarco1, and S. Montangero1

  • 1Institut für Quanteninformationsverarbeitung, Universität Ulm, 89069 Ulm, Germany
  • 2ICFO–Institut de Ciencies Fotoniques, Mediterranean Technology Park, 08860 Castelldefels (Barcelona), Spain
  • 3SISSA–International School for Advanced Studies, via Bonomea 265, 34136 Trieste, Italy
  • 4Abdus Salam ICTP, Strada Costiera 11, 34100 Trieste, Italy
  • 5NEST Scuola Normale Superiore & Istituto di Nanoscienze CNR, Piazza dei Cavalieri 7, I-56126 Pisa, Italy
  • 6Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

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Issue

Vol. 89, Iss. 4 — April 2014

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