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[en] We consider a product of two finite order quantum -gates U 1, U 2 and ask when has an infinite order. Using the fact that is a double cover of we actually study the product of two rotations and about axes , . In particular, we focus on the case when , and are rational multiples of π and show that γ is not a rational multiple of π unless . The proof presented in this paper boils down to finding all pairs that are solutions of . (paper)
Journal
Journal of Physics. A, Mathematical and Theoretical (Online); ISSN 1751-8121; 
; v. 51(7); [15 p.]
; v. 51(7); [15 p.]