تقرير
Conditional limit measure of one-dimensional quantum walk with absorbing sink
| العنوان: | Conditional limit measure of one-dimensional quantum walk with absorbing sink |
|---|---|
| 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 |
|---|