{
  "id": "1703.06613",
  "version": "v1",
  "published": "2017-03-20T06:00:45.000Z",
  "updated": "2017-03-20T06:00:45.000Z",
  "title": "Solving Systems of Linear Equations with a Superconducting Quantum Processor",
  "authors": [
    "Yarui Zheng",
    "Chao Song",
    "Ming-Cheng Chen",
    "Benxiang Xia",
    "Wuxin Liu",
    "Qiujiang Guo",
    "Libo Zhang",
    "Da Xu",
    "Hui Deng",
    "Keqiang Huang",
    "Yulin Wu",
    "Zhiguang Yan",
    "Dongning Zheng",
    "Li Lu",
    "Jian-Wei Pan",
    "H. Wang",
    "Chao-Yang Lu",
    "Xiaobo Zhu"
  ],
  "categories": [
    "quant-ph"
  ],
  "abstract": "Superconducting quantum circuits are 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. \\textbf{103}, 150502 (2009)], which promises an exponential speedup over classical algorithms under certain circumstances. We benchmark the solver with quantum inputs and outputs, and characterize it by non-trace-preserving quantum process tomography, which yields a process fidelity of $0.837\\pm0.006$. Our results highlight the potential of superconducting quantum circuits for applications in solving large-scale linear systems, a ubiquitous task in science and engineering.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-20T06:00:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linear equations",
      "solving systems",
      "superconducting quantum circuits",
      "solving large-scale linear systems",
      "non-trace-preserving quantum process tomography"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}