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Solving Systems of Linear Equations with a Superconducting Quantum Processor.

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  • 1Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.

Physical Review Letters
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PubMed
Summary
This summary is machine-generated.

Superconducting quantum processors can solve linear equations faster than classical computers. This study demonstrates a quantum processor

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Area of Science:

  • Quantum Computing
  • Superconducting Circuits
  • Linear Algebra

Background:

  • Scalable quantum computers are crucial for complex computations.
  • Superconducting quantum circuits offer a promising hardware platform.

Purpose of the Study:

  • To implement and benchmark a quantum algorithm for solving linear systems of equations.
  • To assess the performance of a superconducting quantum processor for this task.

Main Methods:

  • Utilized a four-qubit superconducting quantum processor.
  • Applied the Harrow, Hassidim, and Lloyd quantum algorithm.
  • Employed quantum process tomography for characterization.

Main Results:

  • Successfully solved a two-dimensional system of linear equations.
  • Achieved a process fidelity of 0.837±0.006.
  • Demonstrated quantum inputs and outputs for benchmarking.

Conclusions:

  • Superconducting quantum circuits show potential for solving large-scale linear systems.
  • Quantum algorithms offer potential exponential speedups for linear algebra tasks.
  • This work validates quantum computing for scientific and engineering applications.