کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1899714 | 1045126 | 2010 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Connection between continuous and discrete time quantum walks. From D-dimensional lattices to general graphs
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
I obtain the dynamics of the continuous time quantum walk on a d-dimensional lattice with periodic boundary conditions as an appropriate limit of the dynamics of the discrete time quantum walk on the same lattice. This extends the main result of [15] which proved this limit for the case of the quantum walk on the infinite line and the quantum cellular automaton proposed in [4]. By highlighting the main features of the limiting procedure, I then extend it to general regular graphs. For a given discrete time quantum walk on a graph, I single out the type of continuous dynamics (Hamiltonians) that can be obtained as a limit of the discrete time dynamics.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 66, Issue 1, August 2010, Pages 85-102
Journal: Reports on Mathematical Physics - Volume 66, Issue 1, August 2010, Pages 85-102