Related papers: Discrimination of symmetric states in operational probabilistic theory

Discrimination of symmetric states in operational probabilistic theory

URL: http://arxiv.org/abs/2012.13845v1
Date: Sun, 27 Dec 2020 01:34:06 GMT
Title: Discrimination of symmetric states in operational probabilistic theory
Authors: Kenji Nakahira
Abstract summary: In quantum theory, if a state set has a certain symmetry, there exists a minimum-error measurement having the same type of symmetry. 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.
Score: 2.030567625639093
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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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