Solving Systems of Linear Equations with a Superconducting Quantum Processor

Autor: Chao Song, Chao-Yang Lu, Da Xu, Qiujiang Guo, Li Lu, Benxiang Xia, Hui Deng, Xiaobo Zhu, Haohua Wang, Libo Zhang, Dongning Zheng, Zhiguang Yan, Yulin Wu, Jian-Wei Pan, Wuxin Liu, Ming-Cheng Chen, Keqiang Huang, Yarui Zheng
Jazyk: angličtina
Rok vydání: 2017
Předmět:
ISSN: 0031-9007
Popis: Superconducting quantum circuits are a promising candidate for building scalable quantum computers. Here, we use a four-qubit superconducting quantum processor to solve a two-dimensional system of linear equations based on a quantum algorithm proposed by Harrow, Hassidim, and Lloyd [Phys. Rev. Lett. 103, 150502 (2009)PRLTAO0031-900710.1103/PhysRevLett.103.150502], which promises an exponential speedup over classical algorithms under certain circumstances. We benchmark the solver with quantum inputs and outputs, and characterize it by nontrace-preserving quantum process tomography, which yields a process fidelity of 0.837±0.006. Our results highlight the potential of superconducting quantum circuits for applications in solving large-scale linear systems, a ubiquitous task in science and engineering.
Databáze: OpenAIRE