1. Asymmetric quantum error correcting codes
- Author
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Marc Mézard, Lev Ioffe, Center for Materials Theory [Piscataway], Department of Physics and Astronomy [Piscataway], Rutgers, The State University of New Jersey [New Brunswick] (RU), Rutgers University System (Rutgers)-Rutgers University System (Rutgers)-Rutgers, The State University of New Jersey [New Brunswick] (RU), Rutgers University System (Rutgers)-Rutgers University System (Rutgers), Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11), and EC grant 'Stipco', HPRN-CT-2002-00319, ' EC grant 'Evergrow', IP 1935 in the FET-IST programme NSF DMR 0210575.
- Subjects
error correction ,Decoherence-free subspaces ,FOS: Physical sciences ,02 engineering and technology ,Quantum capacity ,01 natural sciences ,[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] ,Quantum error correction ,Quantum mechanics ,Quantum computation ,0103 physical sciences ,Quantum convolutional code ,0202 electrical engineering, electronic engineering, information engineering ,Quantum information ,010306 general physics ,Physics ,Quantum Physics ,Quantum network ,020206 networking & telecommunications ,PACS 03.67 ,Atomic and Molecular Physics, and Optics ,Condensed Matter - Other Condensed Matter ,Quantum technology ,[PHYS.COND.CM-GEN]Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other] ,Quantum algorithm ,Quantum Physics (quant-ph) ,Algorithm ,Other Condensed Matter (cond-mat.other) - Abstract
The noise in physical qubits is fundamentally asymmetric: in most devices, phase errors are much more probable than bit flips. We propose a quantum error-correcting code that takes advantage of this asymmetry and shows good performance at a relatively small cost in redundancy, requiring less than a doubling of the number of physical qubits for error correction. This code is particularly adapted for building an efficient quantum memory.
- Published
- 2006
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