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Correction of Data and Syndrome Errors by Stabilizer Codes

Performing active quantum error correction to protect fragile quantum states highly depends on the correctness of error information--error syndromes. To obtain reliable error syndromes using imperfect physical circuits, we propose the idea of quantum data-syndrome (DS) codes that are capable of correcting both data qubits and syndrome bits errors. We study fundamental properties of quantum DS codes and provide several CSS-type code constructions of quantum DS codes.

preprint2016arXivOpen access
Alexei AshikhminChing-Yi LaiTodd Brun
math.ITInformation Theoryquant-ph
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Open access3 authors3 topics
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Alexei AshikhminChing-Yi LaiTodd Brun

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