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Learning Logical Pauli Noise in Quantum Error Correction
Thomas Wagner1, Hermann Kampermann1, Dagmar Bruß1
1Institute for Theoretical Physics, Heinrich-Heine-University Düsseldorf, 40225 Düsseldorf, Germany.
Physical Review Letters
|June 2, 2023
Summary
We developed a method to efficiently characterize quantum computers using syndrome data. This technique estimates the logical error channel for stabilizer quantum error correction codes, requiring only that the code can correct the noise.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Quantum Error Correction
Background:
- Characterizing quantum devices is essential for practical applications but is often resource-intensive.
- Developing efficient protocols for quantum device characterization is a key challenge.
- Stabilizer quantum error correction is a leading paradigm for building fault-tolerant quantum computers.
Purpose of the Study:
- To develop efficient methods for characterizing quantum computers within the framework of stabilizer quantum error correction.
- To identify minimal conditions under which the logical error channel can be estimated.
- To reduce the experimental and computational overhead associated with quantum device characterization.
Main Methods:
- Focus on stabilizer quantum error correction codes, including subsystem and data syndrome codes.
- Utilize syndrome data for estimating the logical error channel induced by Pauli noise.
- Prove the feasibility of estimation under minimal conditions related to the code's noise correction capabilities.
Main Results:
- Demonstrated that the logical error channel can be estimated from syndrome data for arbitrary stabilizer, subsystem, and data syndrome codes.
- Established that the estimation is possible provided the quantum error correction code can correct the applied noise.
- Showcased a significant reduction in the effort required for quantum device characterization.
Conclusions:
- The proposed method offers an efficient approach to characterizing quantum computers for specific applications.
- Minimal conditions for estimating the logical error channel are identified, simplifying the characterization process.
- This work contributes to the practical implementation of quantum error correction and fault-tolerant quantum computing.
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