Optimal measurement strategies for the trine states with arbitrary prior\n probabilities

2018/03/09 by Graeme Weir, Weir, Graeme, Catherine Hughes +5 · 2 citations
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.1803.03590

openalex publication_date 2018/03/09 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

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

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