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Partial randomized benchmarking.

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Partial twirling simplifies quantum gate benchmarking. This method reveals fidelity decay as a mix of exponentials, offering insights into quantum gate errors beyond standard randomized benchmarking.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Error Correction

Background:

  • Randomized benchmarking (RB) is crucial for assessing quantum gate fidelity.
  • Standard RB uses full twirling for accurate error characterization.
  • Partial twirling offers practical advantages in implementation and scaling.

Purpose of the Study:

  • To analyze the fidelity decay in randomized benchmarking using simplified partial twirling.
  • To understand the impact of partial twirling on characterizing quantum logical gates.
  • To identify and analyze deviations from standard RB for specific quantum gates.

Main Methods:

  • Developing a theoretical framework to analyze fidelity decay under partial twirling.
  • Utilizing iteration matrices and their spectral properties to determine decay rates.
  • Relating observed decay rates to local invariants of two-qubit gates.

Main Results:

  • Fidelity decay under partial twirling is a linear combination of exponentials, not a single exponential.
  • For two-qubit gates with single-qubit twirling, three distinct decay rates emerge.
  • A leading correction to the dominant exponential decay rate is identified for generic gates.

Conclusions:

  • Partial twirling provides a viable and simpler alternative for quantum gate benchmarking.
  • The fidelity decay analysis reveals a more nuanced picture of quantum gate errors.
  • Understanding these deviations is key for optimizing quantum error correction strategies.