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

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Title Unifying parameter estimation and the Deutsch-Jozsa algorithm for continuous variables
Author Zwierz, Marcin; ́rez-Delgado, Carlos A. Pe; Kok, Pieter
Journal Name Physical Review A
Year Published 2010
Place of publication United States
Publisher American Physical Society
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.
Peer Reviewed Yes
Published Yes
Alternative URI http://dx.doi.org/10.1103/PhysRevA.82.042320
Copyright Statement Copyright 2010 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Volume 82
Issue Number 4
Page from 042320-1
Page to 042320-7
ISSN 1050-2947
Date Accessioned 2011-11-30
Date Available 2012-06-07T21:59:35Z
Language en_US
Faculty Faculty of Science, Environment, Engineering and Technology
Subject Quantum Information, Computation and Communication; Quantum Optics
URI http://hdl.handle.net/10072/42808
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1x

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