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.

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

References in corpus (3)

• General optimality of the Heisenberg limit for quantum metrology
• Geometric derivation of the quantum speed limit
• Entanglement is not a critical resource for quantum metrology

Cited by in corpus (7)

• Gaussian Quantum Information
• Gate sequence for continuous variable one-way quantum computation
• Quantum simulation of quantum field theory using continuous variables
• Quantum Computation of Scattering Amplitudes in Scalar Quantum Electrodynamics
• Gates for one-way quantum computation based on Einstein-Podolsky-Rosen entanglement
• Passive interferometric symmetries of multimode Gaussian pure states
• Gaussian quantum computation with oracle-decision problems