Optimal discrimination of single-qubit mixed states

Weir, G., Barnett, S. M. and Croke, S. (2017) Optimal discrimination of single-qubit mixed states. Physical Review A: Atomic, Molecular and Optical Physics, 96(2), 022312. (doi:10.1103/PhysRevA.96.022312)

Weir, G., Barnett, S. M. and Croke, S. (2017) Optimal discrimination of single-qubit mixed states. Physical Review A: Atomic, Molecular and Optical Physics, 96(2), 022312. (doi:10.1103/PhysRevA.96.022312)

[img]
Preview
Text
145050.pdf - Accepted Version

451kB

Abstract

We consider the problem of minimum-error quantum state discrimination for single-qubit mixed states. We present a method which uses the Helstrom conditions constructively and analytically; this algebraic approach is complementary to existing geometric methods, and solves the problem for any number of arbitrary signal states with arbitrary prior probabilities. It has long been known that the minimum-error probability is given by the trace of the Lagrange operator Γ . The remarkable feature of our approach is the central role played not by Γ , but by its inverse.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Barnett, Professor Stephen and Weir, Graeme and Croke, Dr Sarah
Authors: Weir, G., Barnett, S. M., and Croke, S.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review A: Atomic, Molecular and Optical Physics
Publisher:American Physical Society
ISSN:1050-2947
ISSN (Online):1094-1622
Published Online:14 August 2017

University Staff: Request a correction | Enlighten Editors: Update this record

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