Published in
American Physical Society, Physical Review A, 4(89)
DOI: 10.1103/physreva.89.042322
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- American Physical Society
- [urania.sissa.it]
- [hdl.handle.net]
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Complexity of controlling quantum many-body dynamics
,
Rosario Fazio,
Seth Lloyd,
Tommaso Calarco,
Simone Montangero
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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.