کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6423535 | 1342400 | 2012 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
State transfer on graphs
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
If X is a graph with adjacency matrix A, then we define H(t) to be the operator exp(itA). We say that we have perfect state transfer in X from the vertex u to the vertex v at time Ï if the uv-entry of |H(Ï)u,v|=1. State transfer has been applied to key distribution in commercial cryptosystems, and it seems likely that other applications will be found. We offer a survey of some of the work on perfect state transfer and related questions. The emphasis is almost entirely on the mathematics.
⺠We survey the interactions between graph theory and perfect state transfer. ⺠Perfect state transfer is of interest in quantum computing. ⺠We include some new results and open questions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 312, Issue 1, 6 January 2012, Pages 129-147
Journal: Discrete Mathematics - Volume 312, Issue 1, 6 January 2012, Pages 129-147
نویسندگان
Chris Godsil,