Quantum linear system algorithm applied to communication systems

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 informati...

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Veröffentlicht in:Quantum information processing Jg. 21; H. 7
Hauptverfasser: Park, Jeonghoon, Heo, Jun
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer US 28.07.2022
Schlagworte:
Data Structures and Information Theory
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
Read-out problem
MIMO detection
Quantum linear system algorithm
ISSN:1573-1332, 1573-1332
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Zusammenfassung: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.
ISSN:1573-1332
1573-1332
DOI:10.1007/s11128-022-03598-3