Quasi-cyclic constructions of quantum codes

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other ORP type , Other literature type 01 Jul 2018Embargo end date: 01 Jan 2017 Spain English Publisher:Elsevier BVJournal:Finite Fields and Their Applications, volume 52, pages 261-280 (issn: 1071-5797,

Copyright policy )

Authors: Carlos Galindo 0001; Fernando Hernando; Ryutaroh Matsumoto;

doi: 10.1016/j.ffa.2018.04.010 , 10.48550/arxiv.1712.06907

arXiv: 1712.06907

handle: 10234/175104

Quasi-cyclic constructions of quantum codes

- Summary
- Subjects
- Metrics

Abstract

We give sufficient conditions for self-orthogonality with respect to symplectic, Euclidean and Hermitian inner products of a wide family of quasi-cyclic codes of index two. We provide lower bounds for the symplectic weight and the minimum distance of the involved codes. Supported in the previous results, we show algebraic constructions of good quantum codes and determine their parameters.

Country

Spain

Related Organizations

Keywords

FOS: Computer and information sciences, Computer Science - Information Theory, quantum codes, FOS: Physical sciences, quasi-cyclic codes, Códigos cuasicíclicos, 94B65, 94B15, 81P70, Quantum codes, trace, Algebraic constructions, Quantum Physics, symplectic, Construcciones algebráicas, Information Theory (cs.IT), Quantum coding (general), Quasi-cyclic codes, Bounds on codes, Symplectic, Códigos cuánticos, Hermitian and Euclidean duality, Quantum Physics (quant-ph), Cyclic codes, Trace

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	40
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%