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Quantum error mitigation by Pauli check sandwiching.

Alvin Gonzales1, Ruslan Shaydulin2, Zain H Saleem3

  • 1Intelligence Community Postdoctoral Research Fellowship Program, Argonne National Laboratory, Lemont, IL, USA. agonza@siu.edu.

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|February 6, 2023
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Summary
This summary is machine-generated.

This study introduces a novel error mitigation technique using parity checks to detect errors in quantum circuits. The method significantly improves quantum state fidelity without encoding overhead, enhancing quantum computing reliability.

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Area of Science:

  • Quantum Computing
  • Quantum Error Mitigation

Background:

  • Quantum computations are susceptible to errors from noise.
  • Existing error mitigation techniques often require significant encoding overhead.
  • Developing efficient error mitigation strategies is crucial for advancing quantum computing.

Purpose of the Study:

  • To introduce and analyze a new error mitigation technique based on parity checks.
  • To provide a theoretical foundation and an algorithm for implementing the technique.
  • To evaluate the effectiveness of the proposed method in improving quantum state fidelity.

Main Methods:

  • Utilizing multiple pairs of parity checks, each with an ancilla qubit, to detect error components.
  • Building upon extended flag gadget concepts for a robust theoretical framework.
  • Developing an algorithm to select checks tailored to arbitrary input circuits.
  • Conducting extensive numerical simulations on diverse quantum circuits.

Main Results:

  • The technique can recover the noiseless quantum state under specific noise assumptions.
  • No encoding overhead is incurred; checks are circuit-dependent.
  • Numerical simulations show an average fidelity improvement of 34 percentage points with six layers of checks.
  • The method is compatible with various quantum circuits and input states.

Conclusions:

  • The proposed parity-check-based error mitigation technique is effective and efficient.
  • It offers a practical solution for reducing errors in quantum computations.
  • The technique's versatility allows for integration with other error mitigation strategies.