Year: 2002
Type: article
Abstract: This paper treats absorption problems for the one-dimensional quantum walk determined by a 2 × 2 unitary matrix U on a state space {0, 1, …, N } where N is finite or infinite by using a new path integral approach based on an orthonormal basis P , Q , R and S of the vector space of complex 2 × 2 matrices. Our method studied here is a natural extension of the approach in the classical random walk.
Authors: Norio Konno, Takao Namiki, Takahiro Soshi, Aidan Sudbury
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2135673794