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DOE OSTI · 21450738

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

Zwierz, Marcin·Perez-Delgado, Carlos A·Kok, Pieter
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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.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICSALGORITHMSAPPROXIMATIONSCALCULATION METHODSEIGENSTATESMATHEMATICAL LOGICMECHANICSPROBABILISTIC ESTIMATIONQUANTUM ENTANGLEMENTQUANTUM MECHANICSQUANTUM STATES

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Zwierz, Marcin, Perez-Delgado, Carlos A, Kok, Pieter. 2010-10-15. Unifying parameter estimation and the Deutsch-Jozsa algorithm for continuous variables. https://doi.org/10.1103/physreva.82.042320

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