Bayesian estimation for Bell state rotations

Anastassiou, Luke, Ralph, Jason F ORCID: 0000-0002-4946-9948, Maskell, Simon ORCID: 0000-0003-1917-2913 and Kok, Pieter (2023) Bayesian estimation for Bell state rotations. AVS Quantum Science, 5 (2). 024402-.

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Official URL: http://dx.doi.org/10.1116/5.0147878

Abstract

<jats:p>This paper explores the effect of three-dimensional rotations on two-qubit Bell states and proposes a Bayesian method for the estimation of the parameters of the rotation. We use a particle filter to estimate the parameters of the rotation from a sequence of Bell state measurements, and we demonstrate that the resultant improvement over the optimal single qubit case approaches the 2 factor that is consistent with the Heisenberg limit. We also demonstrate how the accuracy of the estimation method is a function of the purity of mixed states.</jats:p>

Item Type:	Article
Divisions:	Faculty of Science and Engineering > School of Electrical Engineering, Electronics and Computer Science
Depositing User:	Symplectic Admin
Date Deposited:	03 May 2023 07:44
Last Modified:	15 Mar 2024 03:20
DOI:	10.1116/5.0147878
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3170106