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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.
Scientific Reports
|February 6, 2023
Summary
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.
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.
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