کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1899346 | 1045037 | 2013 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Graphs of Unitary Matrices and Positive Semidefinite Zero Forcing
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Graphs of Unitary Matrices and Positive Semidefinite Zero Forcing Graphs of Unitary Matrices and Positive Semidefinite Zero Forcing](/preview/png/1899346.png)
چکیده انگلیسی
The possible zero/nonzero patterns of unitary matrices are of interest in quantum evolution and the study of quantum systems on graphs. In particular, a quantum random walk can be defined on a directed graph if and only if that graph is associated with a unitary matrix pattern. We propose positive semidefinite zero forcing as a way to determine whether there exists a unitary matrix with a given zero/nonzero pattern. We show that zero forcing is a better criterion than strong quadrangularity of the pattern and prove that an n -by-n pattern supports a unitary matrix if and only if its positive semidefinite zero forcing number equals n for n ≤ 5.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 72, Issue 3, December 2013, Pages 311–320
Journal: Reports on Mathematical Physics - Volume 72, Issue 3, December 2013, Pages 311–320
نویسندگان
Craig Larson, Brian Lins, Lon Mitchell,