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Elementary solution to the time-independent quantum navigation problem

Brody, Dorje C and Meier, David M (2015) Elementary solution to the time-independent quantum navigation problem Journal of Physics A: Mathematical and Theoretical, 48 (5).


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A quantum navigation problem concerns the identification of a time-optimal Hamiltonian that realizes a required quantum process or task, under the influence of a prevailing 'background' Hamiltonian that cannot be manipulated. When the task is to transform one quantum state into another, finding the solution in closed form to the problem is nontrivial even in the case of time-independent Hamiltonians. An elementary solution, based on trigonometric analysis, is found here when the Hilbert space dimension is two. Difficulties arising from generalizations to higher-dimensional systems are discussed.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Brody, Dorje
Meier, David M
Date : 16 January 2015
DOI : 10.1088/1751-8113/48/5/055302
Copyright Disclaimer : © 2015 IOP Publishing Ltd
Uncontrolled Keywords : Quantum speed limit; Zermelo navigation; Controlled quantum dynamics
Depositing User : Claudio Svaluto
Date Deposited : 18 Sep 2018 13:30
Last Modified : 18 Sep 2018 13:30

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