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Time-optimal navigation through quantum wind

Brody, Dorje C., Gibbons, Gary W and Meier, David M (2015) Time-optimal navigation through quantum wind New Journal of Physics, 17 (3).


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The quantum navigation problem of finding the time-optimal control Hamiltonian that transports a given initial state to a target state through quantum wind, that is, under the influence of external fields or potentials, is analyzed. By lifting the problem from the state space to the space of unitary gates realizing the required task, we are able to deduce the form of the solution to the problem by deriving a universal quantum speed limit. The expression thus obtained indicates that further simplifications of this apparently difficult problem are possible if we switch to the interaction picture of quantum mechanics. A complete solution to the navigation problem for an arbitrary quantum system is then obtained, and the behaviour of the solution is illustrated in the case of a two-level system.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Brody, Dorje
Gibbons, Gary W
Meier, David M
Date : 31 March 2015
DOI : 10.1088/1367-2630/17/3/033048
Copyright Disclaimer : © 2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft
Uncontrolled Keywords : Controlled quantum dynamics; Zermelo navigation; Finsler geometry
Depositing User : Claudio Svaluto
Date Deposited : 18 Sep 2018 13:27
Last Modified : 18 Sep 2018 13:27

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