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On Implementing the Symbolic Preprocessing Function over Boolean Polynomial Rings in Gr?bner Basis Algorithms Using Linear Algebra被引量:2
《Journal of Systems Science & Complexity》2016年第3期789-804,共16页SUN Yao HUANG Zhenyu LIN Dongdai WANG Dingkang 
supported by the National Key Basic Research Program of China under Grant Nos.2013CB834203 and 2011CB302400;the National Nature Science Foundation of China under Grant Nos.11301523,11371356,61121062;the Strategic Priority Research Program of the Chinese Academy of Sciences under Grant No.XDA06010701;IEE’s Research Project on Cryptography under Grant Nos.Y3Z0013102,Y3Z0018102,and Y4Z0061A02
Some techniques using linear algebra was introduced by Faugore in F4 to speed up the reduction process during Grobner basis computations. These techniques can also be used in fast implementations of F5 and some other ...
关键词:Boolean polynomial rings GrSbner basis implementation linear algebra. 
A single diffractive optical element implementing spectrum-splitting and beam-concentration functions simultaneously with high diffraction efficiency被引量:2
《Chinese Physics B》2013年第3期44-49,共6页叶佳声 王进泽 黄庆礼 董碧珍 张岩 杨国桢 
Project supported by the National Basic Research Program of China (Grant No. 2011CB301801);the National Natural Science Foundation of China (GrantNos. 91233202,10904099,11204188,61205097,and 11174211)
In this paper,a novel method is proposed and employed to design a single diffractive optical element(DOE) for implementing spectrum-splitting and beam-concentration(SSBC) functions simultaneously.We develop an opt...
关键词:diffractive optical element spectrum-splitting and beam-concentration functions thickness optimization algorithm solar cell systems 
Implementing a topological quantum model using a cavity lattice被引量:4
《Science China(Physics,Mechanics & Astronomy)》2012年第9期1549-1556,共8页XIANG ZeLiang YU Ting ZHANG WenXian HU XueDong YOU JianQiang 
supported by the National Basic Research Program of China(Grant No. 2009CB929302);the National Natural Science Foundation of China (Grant No. 91121015);the Ministry of Education of China (GrantNo. B06011);the U.S. National Science Foundation (Grant No. PHY-0925174)
Kitaev model has both Abelian and non-Abelian anyonic excitations. It can act as a starting point for topological quantum compu- tation. However, this model Hamiltonian is difficult to implement in natural condensed m...
关键词:quantum simulation topological quantum model cavity electrodynamics 
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