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
Abstract
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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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 |
Dates: |
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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 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:42637 |