Please use this identifier to cite or link to this item:
|Title:||Breeding quantum error-correcting codes|
|Source:||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|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Jan 17, 2018
WEB OF SCIENCETM
checked on Dec 13, 2017
checked on Jan 14, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.