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Partially balance incomplete block (PBIB) design is based on association scheme. There are many kinds of association schemes and the structure of association scheme itself is an important object in co...
Pseudocyclic and non-amorphic fusion schemes of the cyclotomic association schemes
Amorphic association scheme cyclotomy Gauss sum
2011/1/20
We construct twelve infinite families of pseudocyclic and non-amorphic association schemes, in which each nontrivial relation is a strongly regular graph. Three of the twelve families generalize the c...
Perfect state transfer of a qudit over underlying networks of group association schemes
Perfect state transfer networks of group association schemes
2010/4/9
As generalizations of results of Christandl et al.\cite{8,9""} and Facer et al.\cite{Facer}, Bernasconi et al.\cite{godsil,godsil1} studied perfect state transfer (PST) between two particles in quantu...