Work

Multi-dimensional continuous time quantum walks related to the birth and death chains

Year: 2024

Type: article

Abstract: In this paper, we consider multi-dimensional birth and death chains and continuous time quantum walks (CTQWs) related to them. For continuous time quantum walk (CTQW) related to our forms of multi-dimensional birth and death chains, we obtain the time- scaled independence between multiple dimensions about the transition probability of CTQW. By using this feature, we analyze CTQW on the path graph, which is related to 1-dimensional Ehrenfest model. We also have a random variable which is related to our models and converges to the standard Gaussian distribution.

Source: International Journal of Quantum Information

DOI: 10.1142/s0219749924500527

Authors: Yusuke Ide, Norio Konno, Akihiro Narimatsu

Institutions: Nihon University, Ritsumeikan University, University of Fukuchiyama

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Funder: Japan Society for the Promotion of Science

Award: A study of the Quantum Search Algorithm related to Continuous-time Quantum Walks