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Measurement Theory Discrimination

mathcal{PT}-Symmetric Quantum Discrimination of Three States

arXiv
Authors: Yaroslav Balytskyi, Manohar Raavi, Anatoliy Pinchuk, Sang-Yoon Chang

Year

2020

Paper ID

445

Status

Preprint

Abstract Read

~2 min

Abstract Words

127

Citations

0

Abstract

If the system is known to be in one of two non-orthogonal quantum states, |ψ1rangle or |ψ2rangle, it is not possible to discriminate them by a single measurement due to the unitarity constraint. In a regular Hermitian quantum mechanics, the successful discrimination is possible to perform with the probability p < 1, while in mathcal{PT}-symmetric quantum mechanics a simulated single-measurement quantum state discrimination with the success rate p can be done. We extend the mathcal{PT}-symmetric quantum state discrimination approach for the case of three pure quantum states, |ψ1rangle, |ψ2rangle and |ψ3rangle without any additional restrictions on the geometry and symmetry possession of these states. We discuss the relation of our approach with the recent implementation of mathcal{PT} symmetry on the IBM quantum processor.

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  • This paper contributes to the Measurement Theory & Discrimination research area in the Quantum Articles archive.
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  • If the system is known to be in one of two non-orthogonal quantum states, |ψ1rangle or |ψ2rangle, it is not possible to discriminate them by a single measurement due to the...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2012.14897 [2] arXiv https://arxiv.org/abs/2012.14897 [3] Publisher https://arxiv.org/abs/2012.14897

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