کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1899666 1045114 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Discrete Randomness in Discrete Time Quantum Walk: Study Via Stochastic Averaging
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Discrete Randomness in Discrete Time Quantum Walk: Study Via Stochastic Averaging
چکیده انگلیسی
The role of classical noise in quantum walks (QW) on integers is investigated in the form of discrete dichotomic random variable affecting its reshuffling matrix parametrized as a SU2)/U (1) coset element. Analysis in terms of quantum statistical moments and generating functions, derived by the completely positive trace preserving (CPTP) map governing evolution, reveals a pronounced eventual transition in walk's diffusion mode, from a quantum ballistic regime with rate O(t) to a classical diffusive regime with rate O(t), when condition (strength of noise parameter)2 × (number of steps) = 1, is satisfied. The role of classical randomness is studied showing that the randomized QW, when treated on the stochastic average level by means of an appropriate CPTP averaging map, turns out to be equivalent to a novel quantized classical walk without randomness. This result emphasizes the dual role of quantization/randomization in the context of classical random walk.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Reports on Mathematical Physics - Volume 70, Issue 2, October 2012, Pages 221-227
نویسندگان
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