Optimal state discrimination in general probabilistic theories

Gen Kimura, Takayuki Miyadera, Hideki Imai

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)


We investigate a state discrimination problem in operationally the most general framework to use a probability, including both classical, quantum theories, and more. In this wide framework, introducing closely related family of ensembles (which we call a Helstrom family of ensembles) with the problem, we provide a geometrical method to find an optimal measurement for state discrimination by means of Bayesian strategy. We illustrate our method in two-level quantum systems and in a probabilistic model with square-state space to reproduce, e.g., the optimal success probabilities for binary state discrimination and N numbers of symmetric quantum states. The existences of families of ensembles in binary cases are shown both in classical and quantum theories in any generic cases.

Original languageEnglish
Article number062306
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number6
Publication statusPublished - 2009 Jun 9
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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