Related papers: Discriminating an Arbitrary Number of Pure Quantum States by the Combined $\mathcal{CPT}$ and Hermitian Measurements

Discriminating an Arbitrary Number of Pure Quantum States by the Combined $\mathcal{CPT}$ and Hermitian Measurements

URL: http://arxiv.org/abs/2008.06503v1
Date: Sun, 16 Aug 2020 17:05:50 GMT
Title: Discriminating an Arbitrary Number of Pure Quantum States by the Combined $\mathcal{CPT}$ and Hermitian Measurements
Authors: Yaroslav Balytskyi, Sang-Yoon Chang, Anatoliy Pinchuk, and Manohar Raavi
Abstract summary: It's possible to distinguish an arbitrary number of pure quantum states by an appropriate choice of the parameters of $mathcalPT$-symmetric Hamiltonian.
Score: 1.840931826951159
License: http://creativecommons.org/publicdomain/zero/1.0/
Abstract: If the system is known to be in one of two non-orthogonal quantum states, $|\psi_1\rangle$ or $|\psi_2\rangle$, $\mathcal{PT}$-symmetric quantum mechanics can discriminate them, \textit{in principle}, by a single measurement. We extend this approach by combining $\mathcal{PT}$-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 $\mathcal{PT}$-symmetric Hamiltonian.

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