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3‐Spontaneous Emission Error Designs from PSL (2, q) or PGL (2, q)
Author(s) -
Zhou Junling,
Chang Yanxun
Publication year - 2016
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21429
Subject(s) - mathematics , psl , combinatorics
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 .