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arXiv · 1903.01658

Perfect Discrimination of Non-Orthogonal Separable Pure States on Bipartite System in General Probabilistic Theory

Hayato Arai·Yuuya Yoshida·Masahito Hayashi
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Abstract

We address perfect discrimination of two separable states. When available states are restricted to separable states, we can theoretically consider a larger class of measurements than the class of measurements allowed in quantum theory. The framework composed of the class of separable states and the above extended class of measurements is a typical example of general probabilistic theories. In this framework, we give a necessary and sufficient condition to discriminate two separable pure states perfectly. In particular, we derive measurements explicitly to discriminate two separable pure states perfectly, and find that some non-orthogonal states are perfectly distinguishable. However, the above framework does not improve the capacity, namely, the maximum number of states that are simultaneously and perfectly distinguishable.

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Hayato Arai, Yuuya Yoshida, Masahito Hayashi. 2019-03-05. Perfect Discrimination of Non-Orthogonal Separable Pure States on Bipartite System in General Probabilistic Theory. https://doi.org/10.1088/1751-8121/ab4b64

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