Unifying parameter estimation and the Deutsch-Jozsa algorithm for continuous variables
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.
Keywords
Cite
@article{arxiv.1008.3291,
title = {Unifying parameter estimation and the Deutsch-Jozsa algorithm for continuous variables},
author = {Marcin Zwierz and Carlos A. Pérez-Delgado and Pieter Kok},
journal= {arXiv preprint arXiv:1008.3291},
year = {2016}
}
Comments
7 pages, 5 figures, submitted to Phys. Rev. A