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 |
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Article number | 267 |
Journal | Quantum Information Processing |
Volume | 21 |
Issue number | 7 |
DOIs | |
Publication status | Published - 2022 Jul |
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