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Error Mitigation for Short-Depth Quantum Circuits.

Kristan Temme1, Sergey Bravyi1, Jay M Gambetta1

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Two new methods reduce errors in quantum circuits for simulations. These techniques improve the accuracy of quantum computations without needing extra qubits, making them practical for current quantum devices.

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Area of Science:

  • Quantum Computing
  • Quantum Information Science

Background:

  • Near-term quantum devices require accurate expectation value estimation for applications like quantum simulations.
  • Decoherence and gate errors in quantum circuits lead to inaccurate observable estimations, hindering practical applications.

Purpose of the Study:

  • To present two practical schemes for mitigating errors and decoherence in short-depth quantum circuits.
  • To ensure the relevance of these techniques for current experimental quantum computing capabilities.

Main Methods:

  • Extrapolation to the zero noise limit using Richardson's deferred approach to cancel noise perturbations.
  • Resampling randomized circuits based on a quasiprobability distribution to cancel errors.

Main Results:

  • Both presented schemes effectively mitigate errors and decoherence in quantum computations.
  • The methods are designed to be simple and do not require additional qubit resources, enhancing practical applicability.

Conclusions:

  • The developed schemes offer practical solutions for improving the reliability of quantum circuits.
  • These techniques are crucial for advancing near-term quantum applications, such as quantum simulations, by providing accurate results.