Discrimination of symmetric states in operational probabilistic theory
Quantum Physics
2020-12-29 v1
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.
Keywords
Cite
@article{arxiv.2012.13845,
title = {Discrimination of symmetric states in operational probabilistic theory},
author = {Kenji Nakahira},
journal= {arXiv preprint arXiv:2012.13845},
year = {2020}
}