Optimal measurement strategies for the trine states with arbitrary prior probabilities

Weir, G., Hughes, C., Barnett, S. M. and Croke, S. (2018) Optimal measurement strategies for the trine states with arbitrary prior probabilities. Quantum Science and Technology, 3(3), 035003. (doi: 10.1088/2058-9565/aabc68)

159849.pdf - Accepted Version



We investigate the optimal measurement strategy for state discrimination of the trine ensemble of qubit states prepared with arbitrary prior probabilities. Our approach generates the minimum achievable probability of error and also the maximum confidence strategy. Although various cases with symmetry have been considered and solution techniques put forward in the literature, to our knowledge this is only the second such closed form, analytical, arbitrary prior, example available for the minimum-error figure of merit, after the simplest and well-known two-state example.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Barnett, Professor Stephen and Weir, Mr Graeme and Hughes, Dr Catherine and Croke, Dr Sarah
Authors: Weir, G., Hughes, C., Barnett, S. M., and Croke, S.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Quantum Science and Technology
Publisher:IOP Publishing
ISSN (Online):2058-9565
Published Online:09 April 2018
Copyright Holders:Copyright © 2018 IOP Publishing Ltd
First Published:First published in Quantum Science and Technology 3(3): 035003
Publisher Policy:Reproduced in accordance with the publisher copyright policy
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
721291Astronomy and physics, theoretical physics and application physics / Quantum Theory. Royal Society Research Professorship.Stephen BarnettThe Royal Society (ROYSOC)RP150122S&E P&A - PHYSICS & ASTRONOMY