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Title: Elementary solution to the time-independent quantum navigation problem
Authors: Meier, D
Brody, D
Keywords: Quantum navigation problem;Time-optimal Hamiltonian
Issue Date: 2015
Publisher: IOP Publishing
Citation: Journal of Physics A: Mathematical and Theoretical, 2015, 48 (5), pp. 1 - 9
Abstract: 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 timeindependent 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.
ISSN: 1751-8121
Appears in Collections:Mathematical Physics

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