Work

Limit theorems and absorption problems for quantum random walks in one dimension

Year: 2002

Type: preprint

Abstract: In this paper we consider limit theorems, symmetry of distribution, and absorption problems for two types of one-dimensional quantum random walks determined by 2 times 2 unitary matrices using our PQRS method. The one type was introduced by Gudder in 1988, and the other type was studied intensively by Ambainis et al. in 2001. The difference between both types of quantum random walks is also clarified.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.quant-ph/0210011

Author: Konno, Norio

Institution: Yokohama National University

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2950058522

Cites: 29

Cited by: 5

Related to: 10