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. © 2014 American Physical Society.
Complexity of controlling quantum many-body dynamics / Caneva, Tommaso; Silva, Alessandro; Fazio, Rosario; Lloyd, S.; Calarco, Tommaso; Montangero, S.. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 89:4(2014), pp. 042302.1-042302.5. [10.1103/PhysRevA.89.042322]
Complexity of controlling quantum many-body dynamics
Caneva, Tommaso;Silva, Alessandro;Fazio, Rosario;Calarco, Tommaso;
2014-01-01
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. © 2014 American Physical Society.| File | Dimensione | Formato | |
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