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Quantum Information Processing

On Steane-enlargement of quantum codes from Cartesian product point sets

  • 01-07-2020
Published in:
Authors
René Bødker Christensen
Olav Geil
Published in
Quantum Information Processing | Issue 7/2020

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Abstract

In this work, we study quantum error-correcting codes obtained by using Steane-enlargement. We apply this technique to certain codes defined from Cartesian products previously considered by Galindo et al. (IEEE Trans Inf Theory 64(4):2444–2459, 2018. https://doi.org/10.1109/TIT.2017.2755682). We give bounds on the dimension increase obtained via enlargement, and additionally give an algorithm to compute the true increase. A number of examples of codes are provided, and their parameters are compared to relevant codes in the literature, which shows that the parameters of the enlarged codes are advantageous. Furthermore, comparison with the Gilbert–Varshamov bound for stabilizer quantum codes shows that several of the enlarged codes match or exceed the parameters promised by the bound.

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previous article An efficient design of reversible ternary full-adder/full-subtractor with low quantum cost
next article New entanglement-assisted quantum MDS codes with larger minimum distance
Title
On Steane-enlargement of quantum codes from Cartesian product point sets
Authors
René Bødker Christensen
Olav Geil
Publication date
01-07-2020
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2020
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-020-02691-9
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