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)
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159849.pdf - Accepted Version 1MB |
Abstract
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 |
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| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Weir, Mr Graeme and Croke, Dr Sarah and Barnett, Professor Stephen and Hughes, Dr Catherine |
| 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: | 2058-9565 |
| 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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