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Noise-Resilient Phase Estimation with Randomized Compiling.

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We developed a new quantum error mitigation technique for phase estimation. This method significantly reduces errors caused by certain noises, making quantum phase estimation more reliable even without fault-tolerant quantum computers.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing Algorithms

Background:

  • Quantum phase estimation is a crucial algorithm for various quantum applications.
  • Current quantum computers are susceptible to noise, limiting the accuracy of phase estimation.
  • Existing error mitigation methods often require additional quantum resources.

Purpose of the Study:

  • To develop a noise-resilient quantum phase estimation method.
  • To identify and mitigate specific noise channels affecting phase estimation.
  • To achieve accurate phase estimation without increasing quantum resource overhead.

Main Methods:

  • Developed a first-order error correction theorem proving noise immunity for specific channels.
  • Incorporated randomized compiling to convert generic noise into stochastic Pauli noise.
  • Applied these techniques to control-free phase estimation circuits.

Main Results:

  • Identified benign noise channels for phase estimation under first-order correction.
  • Demonstrated noise resilience by converting generic noise to stochastic Pauli noise.
  • Achieved up to a 2-orders-of-magnitude reduction in phase estimation error through simulations.

Conclusions:

  • The proposed method offers a practical approach to noise-resilient quantum phase estimation.
  • This technique is applicable even before the availability of fault-tolerant quantum computers.
  • Paves the way for utilizing quantum phase estimation in near-term quantum devices.