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Trapped Ion Quantum Computing

Preserving Measurements for Optimal State Discrimination over Quantum Channels

arXiv
Authors: Spiros Kechrimparis, Tanmay Singal, Chahan M. Kropf, Joonwoo Bae

Year

2018

Paper ID

23258

Status

Preprint

Abstract Read

~2 min

Abstract Words

116

Citations

N/A

Abstract

In this work, we consider optimal state discrimination for a quantum system that interacts with an environment, i.e., states evolve under a quantum channel. We show the conditions on a quantum channel and an ensemble of states such that a measurement for optimal state discrimination is preserved. In particular, we show that when an ensemble of states with equal {\it a priori} probabilities is given, an optimal measurement can be preserved over any quantum channel by applying local operations and classical communication, that is, by manipulating the quantum states before and after the channel application. Examples are provided for illustration. Our results can be readily applied to quantum communication protocols over various types of noise.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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  • In this work, we consider optimal state discrimination for a quantum system that interacts with an environment, i.e., states evolve under a quantum channel.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1811.07721 [2] arXiv https://arxiv.org/abs/1811.07721 [3] Publisher https://arxiv.org/abs/1811.07721

Local Citation Graph (Related-Paper Links)

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