Breeding quantum error-correcting codes
- Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei 230026 (China)
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.
- OSTI ID:
- 21413262
- Journal Information:
- Physical Review. A, Vol. 81, Issue 2; Other Information: DOI: 10.1103/PhysRevA.81.022322; (c) 2010 The American Physical Society; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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