Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevA.81.022322
Title: Breeding quantum error-correcting codes
Authors: Dong, Y.
Hu, D.
Yu, S. 
Issue Date: 22-Feb-2010
Citation: Dong, Y., Hu, D., Yu, S. (2010-02-22). Breeding quantum error-correcting codes. Physical Review A - Atomic, Molecular, and Optical Physics 81 (2) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevA.81.022322
Abstract: The stabilizer code, one major family of quantum error-correcting codes (QECC), is specified by the joint eigenspace of a commuting set of Pauli observables. It turns out that noncommuting sets of Pauli observables can be used to construct more efficient QECCs, such as the entanglement-assisted QECCs, which are built directly from any linear classical codes whose detailed properties are needed to determine the parameters of the resulting quantum codes. Here we propose another family of QECCs, namely, the breeding QECCs, that also employ noncommuting sets of Pauli observables and can be built from any classical additive codes, either linear or nonlinear, with the advantage that their parameters can be read off directly from the corresponding classical codes. Besides, since nonlinear codes are generally more efficient than linear codes, our breeding codes have better parameters than those codes built from linear codes. The terminology is justified by the fact that our QECCs are related to the ordinary QECCs in exactly the same way that the breeding protocols are related to the hashing protocols in the entanglement purification. © 2010 The American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/115617
ISSN: 10502947
DOI: 10.1103/PhysRevA.81.022322
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