Quantum linear system algorithm applied to communication systems

Jeonghoon Park; Jun Heo

doi:10.1007/s11128-022-03598-3

Quantum linear system algorithm applied to communication systems

Jeonghoon Park
, Jun Heo^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

A quantum linear system algorithm (QLSA) can solve linear equations more efficiently than classical ones. However, we cannot know the value of each component of a solution directly because a QLSA produces a solution as a quantum state. In this paper, we present a method to obtain classical information of a solution with the exponential quantum advantage of a QLSA when the values of a solution are on a rectangular grid in the complex plane. Our method can extract both the amplitude and phase information by modifying the given matrix. Moreover, we show an application to a specific problem in communication systems.

Original language	English
Article number	267
Journal	Quantum Information Processing
Volume	21
Issue number	7
DOIs	https://doi.org/10.1007/s11128-022-03598-3
Publication status	Published - 2022 Jul

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

MIMO detection
Quantum linear system algorithm
Read-out problem

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Statistical and Nonlinear Physics
Theoretical Computer Science
Signal Processing
Modelling and Simulation
Electrical and Electronic Engineering

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10.1007/s11128-022-03598-3

Cite this

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title = "Quantum linear system algorithm applied to communication systems",

abstract = "A quantum linear system algorithm (QLSA) can solve linear equations more efficiently than classical ones. However, we cannot know the value of each component of a solution directly because a QLSA produces a solution as a quantum state. In this paper, we present a method to obtain classical information of a solution with the exponential quantum advantage of a QLSA when the values of a solution are on a rectangular grid in the complex plane. Our method can extract both the amplitude and phase information by modifying the given matrix. Moreover, we show an application to a specific problem in communication systems.",

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AB - A quantum linear system algorithm (QLSA) can solve linear equations more efficiently than classical ones. However, we cannot know the value of each component of a solution directly because a QLSA produces a solution as a quantum state. In this paper, we present a method to obtain classical information of a solution with the exponential quantum advantage of a QLSA when the values of a solution are on a rectangular grid in the complex plane. Our method can extract both the amplitude and phase information by modifying the given matrix. Moreover, we show an application to a specific problem in communication systems.

KW - MIMO detection

KW - Quantum linear system algorithm

KW - Read-out problem

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Quantum linear system algorithm applied to communication systems

Abstract

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Keywords

ASJC Scopus subject areas

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