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

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

2010-08-19

arxiv.org/abs/1008.3291v1

Physical Review A 82, 042320 (2010)

Physics

Quantum Physics

7 pages, 5 figures, submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.82.042320

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.

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