𝒫𝒯-Symmetric Unambiguous Distinguishing of Three Quantum States
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Beyond the two-state case, the optimal state distinguishing is solved only in a limited number of cases exhibiting a high degree of symmetry. With the use of 𝒫𝒯-symmetric quantum mechanics, we provide an algorithm for an unambiguous distinguishing of three pure quantum states by at most two measurements without any additional restrictions on geometry and symmetry possession of these states. We do not require any assumptions beyond those from when distinguishing two quantum states. Thus we extend the 𝒫𝒯-symmetric quantum state discrimination approach for the case of three quantum states.
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