3‐Spontaneous Emission Error Designs from PSL(2, q) or PGL(2, q). Issue 5 (18th May 2015)

• Record Type: Journal Article
• Authors: Zhou, Junling; Chang, Yanxun
• Is Part Of: Journal of combinatorial designs. Volume 24:Issue 5(2016:May)
• Page Start: 234
• Page End: 245
• Publication Date: 2015-05-18
• Subjects: projective general linear group -- projective special linear group -- spontaneous emission error design -- t‐design -- t‐homogenous group; Combinatorial designs and configurations -- Periodicals; Configurations et schémas combinatoires -- Périodiques; 511.6
• DOI: 10.1002/jcd.21429
• Languages: English
• ISSNs: 1063-8539

Abstract

Abstract: Quantum jump codes are quantum codes that correct errors caused by quantum jumps. A spontaneous emission error design (SEED) was introduced by Beth et al. in 2003 to construct quantum jump codes. In this paper, we study the existence of 3‐SEEDs from PSL(2, q ) or PGL(2, q ). By doing this, a large number of 3‐ ( q + 1, k ; m ) SEEDs are derived for prime powers q and all 3 ≤ k ≤ q + 1 .