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Unifying parameter estimation and the Deutsch-Jozsa algorithm for continuous variables

Zwierz, M., Perez-Delgado, C.A. and Kok, P. (2010) Unifying parameter estimation and the Deutsch-Jozsa algorithm for continuous variables. Physical Review A (PRA), 82 (4). Art no.042320 . ISSN 1050-2947

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We reveal a close relationship between quantum metrology and the Deutsch-Jozsa algorithm on continuous-variable quantum systems. We develop a general procedure, characterized by two parameters, that unifies parameter estimation and the Deutsch-Jozsa algorithm. Depending on which parameter we keep constant, the procedure implements either the parameter-estimation protocol or the Deutsch-Jozsa algorithm. The parameter-estimation part of the procedure attains the Heisenberg limit and is therefore optimal. Due to the use of approximate normalizable continuous-variable eigenstates, the Deutsch-Jozsa algorithm is probabilistic. The procedure estimates a value of an unknown parameter and solves the Deutsch-Jozsa problem without the use of any entanglement.

Item Type: Article
Copyright, Publisher and Additional Information: © 2010 American Physical Society. This is an author produced version of a paper subsequently published in Physical Review A. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: Quantum Computation
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > Department of Physics and Astronomy (Sheffield)
Depositing User: Miss Anthea Tucker
Date Deposited: 12 Nov 2010 10:43
Last Modified: 08 Feb 2013 17:29
Published Version: http://dx.doi.org/10.1103/PhysRevA.82.042320
Status: Published
Publisher: American Physical Society
Refereed: Yes
Identification Number: 10.1103/PhysRevA.82.042320
URI: http://eprints.whiterose.ac.uk/id/eprint/42637

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