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Randomized Benchmarking with Non-Markovian Noise and Realistic Finite-Time Gates.

Antoine Brillant1, Peter Groszkowski2, Alireza Seif3

  • 1Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA.

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This study analyzes non-Markovian classical noise in single-qubit randomized benchmarking. The findings reveal that noise impacts gate implementation, affecting decay curves and complicating experiment interpretation.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing

Background:

  • Randomized benchmarking (RB) is a standard technique for characterizing quantum devices.
  • Classical noise significantly impacts the fidelity of quantum operations.
  • Understanding noise is crucial for developing fault-tolerant quantum computers.

Purpose of the Study:

  • To investigate the effects of non-Markovian classical noise on single-qubit RB experiments.
  • To develop a theoretical framework for analyzing RB under realistic finite-duration gate pulses.
  • To explore how non-Markovian noise influences the survival probability decay curve.

Main Methods:

  • Developed a new theoretical framework to model non-Markovian classical noise.
  • Explicitly modeled gate realization using finite-duration pulses.
  • Derived nonperturbative expressions for the survival probability decay curve.

Main Results:

  • Demonstrated that non-Markovian noise introduces a strong dependence on gate implementation methods.
  • Identified regimes exhibiting both exponential and power-law decay behaviors.
  • Showcased how these noise-induced effects complicate RB interpretation.

Conclusions:

  • Non-Markovian noise significantly impacts RB experiments, leading to varied decay patterns.
  • The developed framework allows for the probing of non-Markovianity by analyzing decay curve features.
  • Accurate interpretation of RB experiments requires careful consideration of noise characteristics.