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- Title
On the properties of partially open quantum random walk on Zd.
- Authors
Kang, Yuan Bao
- Abstract
A new kind of quantum random walks, called partially open quantum random walks (POQRW, for short), has been studied and developed by Sheng Xiong et al. in (J Stat Phys 152:473–492, 2013). In this paper, some properties of POQRW on the Z d are obtained, to some extent, which extend the results of Ref (Sinayskiy in Phys Scr T151:4077, 2014). We obtain a central limit theorem and a large deviation principle for the position process (X p) p ∈ N associated with the inhomogeneous POQRWs M p m (n) on the Z d , with internal space ħ = C 2 .
- Subjects
CENTRAL limit theorem; RANDOM walks; LARGE deviations (Mathematics)
- Publication
Quantum Information Processing, 2022, Vol 21, Issue 2, p1
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-021-03304-9