2003/12/15 by P. L. Knight, Eugenio Roldán, E. Roldan +1 · 1 citation
Computer Science · Physics and Astronomy · #Computer science #Interference (communication) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum computer #Quantum interference #Quantum mechanics #Quantum walk #Quantum-Dot Cellular Automata #Statistical physics #Telecommunications #Unitary state #Wavelength #quant-ph
paper · pdf · doi:10.1080/09500340408232489
published as J. Mod. Opt. 51 (2004) 1761-1777 · 17 pages, 3 figures. Submitted to Journal of Modern Optics
arxiv created 2003/12/15 · openalex publication_date 2004/08/01 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We analyse the solution of the coined quantum walk on a line. First, we derive the full solution, for arbitrary unitary transformations, by using a new approach based on the four ‘walk fields’ which we show determine the dynamics. The particular way of deriving the solution allows a rigorous derivation of a long wavelength approximation. This long wavelength approximation is useful as it provides an approximate analytical expression that captures the basics of the quantum walk and allows us to gain insight into the physics of the process.