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Noncommutative optimal control and quantum networks

Yanagisawa, Masahiro (2006) Noncommutative optimal control and quantum networks. Physical Review A, 73 (2). Art. No. 022342. ISSN 1050-2947. doi:10.1103/PhysRevA.73.022342.

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Optimal control is formulated based on a noncommutative calculus of operator derivatives. The use of optimal control methods in the design of quantum systems relies on the differentiation of an operator-valued function with respect to the relevant operator. Noncommutativity between the operator and its derivative leads to a generalization of the conventional method of control for classical systems. This formulation is applied to quantum networks of both spin and bosonic particles for the purpose of quantum state control via quantum random walks.

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Additional Information:© 2006 The American Physical Society. (Received 17 October 2005; published 24 February 2006)
Subject Keywords:optimal control; boson systems; random processes; quantum noise
Issue or Number:2
Record Number:CaltechAUTHORS:YANpra06
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2804
Deposited By: Archive Administrator
Deposited On:28 Apr 2006
Last Modified:08 Nov 2021 19:51

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