Return Probability of the Fibonacci Quantum Walk

DOI10.1088/0253-6102/58/2/09zbMATH Open1264.82117arXiv1108.5198OpenAlexW2017326240MaRDI QIDQ4922694

Clement Ampadu

Publication date: 4 June 2013

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Abstract: We study the discrete-time quantum walk in one-dimension governed by the Fibonacci transformation .We show localization does not occur for the Fibonacci quantum walk by investigating the stationary distribution of the walk, in addition, we obtain the weak limit theorem.

Full work available at URL: https://arxiv.org/abs/1108.5198

zbMATH Keywords

return probabilityquantum random walkFibonacci transformation

Mathematics Subject Classification ID

Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (1)

Return probability of the open quantum random walk with time-dependence

This page was built for publication: Return Probability of the Fibonacci Quantum Walk

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q4922694)