In-situ characterization of quantum devices with error correction

2014/05/22 by Joshua Combes, Combes, Joshua, Christopher Ferrie +11 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.1405.5656

openalex publication_date 2014/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Syndrome measurements made in quantum error correction contain more information than is typically used. We show that the statistics of data from syndrome measurements can be used to do the following: (i) estimation of parameters of an error channel, including the ability correct away the invertible part of the error channel, once it is estimated; (ii) hypothesis testing (or model selection) to distinguish error channels, e.g., to determine if the errors are correlated. The unifying theme is to make use of all of the information in the statistics of the data collected from syndrome measurements using machine learning and control algorithms.

Citations

• A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
• Completely positive linear maps on complex matrices

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