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

By M. Zwierz, C.A. Perez-Delgado and P. Kok

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

Publisher: American Physical Society
Year: 2010
OAI identifier: oai:eprints.whiterose.ac.uk:42637

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