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Measurement Theory Discrimination

Discrimination of symmetric states in operational probabilistic theory

arXiv
Authors: Kenji Nakahira

Year

2020

Paper ID

513

Status

Preprint

Abstract Read

~2 min

Abstract Words

115

Citations

N/A

Abstract

A state discrimination problem in an operational probabilistic theory (OPT) is investigated in diagrammatic terms. It is well-known that, in the case of quantum theory, if a state set has a certain symmetry, then there exists a minimum-error measurement having the same type of symmetry. However, to our knowledge, it is not yet clear whether this property also holds in a more general OPT. We show that it also holds in OPTs, i.e., for a symmetric state set, there exists a minimum-error measurement that has the same type of symmetry. It is also shown that this result can be utilized to optimize over a restricted class of measurements, such as sequential or separable measurements.

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  • This paper contributes to the Measurement Theory & Discrimination research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • A state discrimination problem in an operational probabilistic theory (OPT) is investigated in diagrammatic terms.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2012.13845 [2] arXiv https://arxiv.org/abs/2012.13845 [3] Publisher https://arxiv.org/abs/2012.13845

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