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A note on verification procedures for quantum noiseless subsystems

Lorenza Viola·Emanuel Knill
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Abstract

We establish conditions under which the experimental verification of quantum error-correcting behavior against a linear set of error operators $\ce$ suffices for the verification of noiseless subsystems of an error algebra $\ca$ contained in $\ce$. From a practical standpoint, our results imply that the verification of a noiseless subsystem need not require the explicit verification of noiseless behavior for all possible initial states of the syndrome subsystem.

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Lorenza Viola, Emanuel Knill. 2003-03-27. A note on verification procedures for quantum noiseless subsystems. https://doi.org/10.1103/physreva.68.032311

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