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Restricted allowable generalized quantum gates
  • 期刊名称:Chinese Science Bulletin
  • 时间:0
  • 页码:2122-2125
  • 语言:英文
  • 分类:TN201[电子电信—物理电子学] O177.1[理学—数学;理学—基础数学]
  • 作者机构:[1]College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China
  • 相关基金:The authors would like to thank Professor Long Guilu and the referees for giving many valuable suggestions. This work was supported by the Na- tional Natural Science Foundation of China (10571113 and 10871224) and the Natural Science Research Program of Shaanxi Province (2009JM1 O11 ).
  • 相关项目:量子计算和量子信息中的算子论和算子代数方法
中文摘要:

一扇许可的概括的量门(介绍了由长,刘和王) 有 U = k=0 d 的形式 ? 1 c k U k,在 U ks 是单一的的地方 Hilbert 上的操作员空间 H 并且|k=0 d ? 1 c k |? 1 并且 | c k |? 1 (0 ? k ? d ? 1 ) 。在我们考虑一种 AGQG 的这个工作,打电话给限制的许可的概括的量门(RAGQG ) ,令人满意 0 < k=0 d ? 1 | c k |? 1。H 上的所有 RAGQG 的集合 RAGQG (H) 的一些性质被建立。特别,我们证明 RAGQG (H) 的极端点确切是 H 和那 B (H)=R + RAGQG (H) 上的单一的操作员。

英文摘要:

An allowable generalized quantum gate (introduced by Long, Liu and Wang) has the form of U = ∑k=0^d-t ckUk, where Uk's are unitary operators on a Hilbert space H and |U = ∑k=0^d-t ck|≤1 and |Ck|≤1(0≤d≤k-1). In this work we consider a kind of AGQGs,called restricted allowable generalized quantum gates (RAGQGs), satisfying 0 〈 |U = ∑k=0^d-t ck|≤1. Some properties of the set RAGQG(H) of all RAGQGs on H are established. Especially, we prove that the extreme points of RAGQG(H) are exactly unitary operators on H and that B(H)=R+RAGQG(H).

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