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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.
Abstract:
The characterization of quantum devices is crucial for their practical implementation but can be costly in experimental effort and classical postprocessing. Therefore, it is desirable to measure only the information that is relevant for specific applications and develop protocols that require little additional effort. In this Letter, we focus on the characterization of quantum computers in the context of stabilizer quantum error correction. For arbitrary stabilizer codes, subsystem codes, and data syndrome codes, we prove that the logical error channel induced by Pauli noise can be estimated from syndrome data under minimal conditions. More precisely, for any such code, we show that the estimation is possible as long as the code can correct the noise.
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