Discriminating an Arbitrary Number of Pure Quantum States by the Combined 𝒞𝒫𝒯 and Hermitian Measurements

08/16/2020

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by   Yaroslav Balytskyi, et al.

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If the system is known to be in one of two non-orthogonal quantum states, |ψ_1⟩ or |ψ_2⟩, 𝒫𝒯-symmetric quantum mechanics can discriminate them, in principle, by a single measurement. We extend this approach by combining 𝒫𝒯-symmetric and Hermitian measurements and show that it's possible to distinguish an arbitrary number of pure quantum states by an appropriate choice of the parameters of 𝒫𝒯-symmetric Hamiltonian.