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Randomized Benchmarking for Individual Quantum Gates.

E Onorati1, A H Werner2, J Eisert1,3,4

  • 1Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany.

Physical Review Letters
|September 7, 2019
PubMed
Summary
This summary is machine-generated.

Randomized benchmarking now precisely measures individual quantum gates outside the Clifford group, even with varying noise. This advance in quantum gate fidelity estimation requires more classical computation but minimal quantum resources.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Technology

Background:

  • Precise component benchmarking is crucial for all technologies, including quantum technologies.
  • Randomized benchmarking (RB) is a resource-economical method for estimating average quantum gate fidelity for Clifford group gates, assuming uniform noise.
  • Existing RB methods have limitations in characterizing gates outside the Clifford group and handling varying noise levels.

Purpose of the Study:

  • To extend randomized benchmarking to individually characterize a broad class of quantum gates beyond the Clifford group.
  • To investigate the applicability of RB for quantum gates with varying noise levels.
  • To develop a framework for high-precision quantum gate characterization under realistic noise conditions.

Main Methods:

  • Development of a representation-theoretic framework for quantum gate analysis.
  • Integration of classical estimation techniques, specifically bootstrapping and matrix pencils.
  • Application of the extended RB scheme to benchmark tensor powers of T gates.

Main Results:

  • Demonstrated successful individual benchmarking of quantum gates outside the Clifford group using randomized benchmarking.
  • Showcased the method's effectiveness even with varying noise levels across different quantum gates.
  • Achieved this extension with minimal overhead in quantum resources, albeit with increased classical computational cost.

Conclusions:

  • Randomized benchmarking can be effectively applied to a wider range of quantum gates beyond the Clifford group.
  • The developed framework provides a powerful tool for precise quantum gate characterization, even under complex noise environments.
  • Understanding assumptions about noise processes is critical for accurate quantum gate benchmarking.