English

Weak limit theorem for a one-dimensional split-step quantum walk

Mathematical Physics 2018-04-17 v1 math.MP Spectral Theory

Abstract

This paper proves a weak limit theorem for a one-dimensional split-step quantum walk and investigates the limit density function. In the density function, the difference between two Konno's functions appears.

Cite

@article{arxiv.1804.05125,
  title  = {Weak limit theorem for a one-dimensional split-step quantum walk},
  author = {Toru Fuda and Daiju Funakawa and Akito Suzuki},
  journal= {arXiv preprint arXiv:1804.05125},
  year   = {2018}
}
R2 v1 2026-06-23T01:23:25.775Z