2013/01/31 by T. Caneva, A. Silva, Alessandro Silva +8 · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Context (archaeology) #Dimension (graph theory) #Dynamics (music) #Engineering #Hamiltonian (control theory) #Manifold (fluid mechanics) #Mathematical optimization #Mathematics #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Statistical physics #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreva.89.042322
published as Phys. Rev. A 89, 042322 (2014) · 4.5 pages, 5 figures
openalex publication_date 2014/04/23 · arxiv created 2014/05/05 · arxiv updated 2015/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.