تقرير
Conditional limit measure of one-dimensional quantum walk with absorbing sink
العنوان: | Conditional limit measure of one-dimensional quantum walk with absorbing sink |
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المؤلفون: | Sabri, Mohamed, Segawa, Etsuo, Stefanak, Martin |
المصدر: | Phys. Rev. A 98, 012136 (2018) |
سنة النشر: | 2018 |
المجموعة: | Quantum Physics |
مصطلحات موضوعية: | Quantum Physics |
الوصف: | We consider a two-state quantum walk on a line where after the first step an absorbing sink is placed at the origin. The probability of finding the walker at position $j$, conditioned on that it has not returned to the origin, is investigated in the asymptotic limit. We prove a limit theorem for the conditional probability distribution and show that it is given by the Konno's density function modified by a pre-factor ensuring that the distribution vanishes at the origin. In addition, we discuss the relation to the problem of recurrence of a quantum walk and determine the Polya number. Our approach is based on path counting and stationary phase approximation. Comment: 9 pages, 6 figures; added journal reference, updated to the published version |
نوع الوثيقة: | Working Paper |
DOI: | 10.1103/PhysRevA.98.012136 |
URL الوصول: | http://arxiv.org/abs/1807.02765 |
رقم الأكسشن: | edsarx.1807.02765 |
قاعدة البيانات: | arXiv |
DOI: | 10.1103/PhysRevA.98.012136 |
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