Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargement

@article{Galindo2015StabilizerQC,
  title={Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargement},
  author={C. Galindo and F. Hernando and D. Ruano},
  journal={Quantum Information Processing},
  year={2015},
  volume={14},
  pages={3211-3231}
}
  • C. Galindo, F. Hernando, D. Ruano
  • Published 2015
  • Computer Science, Physics, Mathematics
  • Quantum Information Processing
  • New stabilizer codes with parameters better than the ones available in the literature are provided in this work, in particular quantum codes with parameters $$[[127,63, {\ge }12]]_2$$[[127,63,≥12]]2 and $$[[63,45, {\ge }6]]_4$$[[63,45,≥6]]4 that are records. These codes are constructed with a new generalization of the Steane’s enlargement procedure and by considering orthogonal subfield-subcodes—with respect to the Euclidean and Hermitian inner product—of a new family of linear codes, the J… CONTINUE READING

    Tables and Topics from this paper.

    On Steane-enlargement of quantum codes from Cartesian product point sets
    1
    Steane-enlargement of quantum codes from the Hermitian function field
    1
    On the distance of stabilizer quantum codes from J-affine variety codes
    12
    On the distance of stabilizer quantum codes given by $J$-affine variety codes
    1

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 69 REFERENCES
    Tumor necrosis factor (cachectin) in human visceral leishmaniasis.
    84
    Aphasie , aphémie , alalie ( Aphasia , aphemia , alalia )
    • 1866
    Mass media, 'monsters' and mental health clients: the need for increased lobbying.
    98
    Structural brain abnormalities in psychopaths-a review.
    126
    The measurement of environmental and resource values: theory and methods; Resources for the future: Washington DC
    • 1993
    New insights from a fixed-point analysis of single cell IEEE 802.11 WLANs
    190
    Approximation by piecewise exponentials
    22
    Zero-Dimensional Branches of Rank One on Algebraic Varieties
    50