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| 1 | Realization of allowable qeneralized quantum gates显示文摘The most general duality gates were introduced by Long,Liu and Wang and named allowable generalized quantum gates (AGQGs,for short).By definition,an allowable generalized quantum gate has the form of U=YfkjsckUK,where Uk's are unitary operators on a Hilbert space H and the coefficients ck's are complex numbers with |Yfijo ck\ ∧ 1 an d 1ck| <1 for all k=0,1,...,d-1.In this paper,we prove that an AGQG U=YfkZo ck∧k is realizable,i.e.there are two d by d unitary matrices W and V such that ck=W0kVk0 (0 | ZHANG Ye,CAO HuaiXin* & LI Li College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China Received December 19,2009 accepted January 19,2010 published online August 2,2010 | 2010 | Science China(Physics,Mechanics & Astronomy)2010，53，10： | 5 |
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