14th IFAC Symposium on System Identification, SYSID 2006

SYSID-2006 Paper Abstract

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Paper ThB6.2

Magyar, Attila (Computer and Automation Res. Inst.), Petz, Dénes (Alfréd Rényi Inst. of Mathematics), Hangos, Katalin M. (Computer and Automation Res. Inst.)

Bayesian Qubit State Estimation

Scheduled for presentation during the Regular Session "Applications of System Identification" (ThB6), Thursday, March 30, 2006, 15:50−16:10, Newcastle Room

14th IFAC Symposium on System Identification, March 29 - 31, 2006, Newcastle, Australia

This information is tentative and subject to change. Compiled on July 22, 2018

Keywords Quantum Systems, Bayesian Methods

Abstract

In this paper a Bayesian approach for estimating the state of a qubit is proposed. It consists of two phases. First a component-wise separate Bayesian estimate of the Bloch vector components is calculated in the form of Beta - distributions. Then a regularization step is performed to respect the constraint that the Bloch vector must be in the unit ball. The properties of the proposed algorithm are investigated by simulation.