Year: 2003
Type: article
Abstract: We examine the problem of verifying the implementation of a desired noiseless subsystem from a quantum error-correcting perspective. General conditions are identified, under which the verification of error-correcting behavior against a linear set of errors $\mathcal{E}$ suffices for the verification of noiseless subsystems of an error algebra $\mathcal{A}$ contained in $\mathcal{E}.$ 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.
Source: Physical Review A
Authors: Lorenza Viola, Emanuel Knill
Institution: Los Alamos National Laboratory
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2285461535