Weak limit theorem for a one-dimensional split-step quantum walk

2018/04/13 by Toru Fuda, Fuda, Toru, Daiju Funakawa +3 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Spectral Theory (math.SP) #Surface and Thin Film Phenomena

paper · pdf · doi:10.48550/arxiv.1804.05125

openalex publication_date 2018/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper proves a weak limit theorem for a one-dimensional split-step quantum walk and investigates the limit density function. In the density function, the difference between two Konno's functions appears.

Citations

• Weak limit theorem for a nonlinear quantum walk
• Localization of a multi-dimensional quantum walk with one defect

Cited by

• An index theorem for split-step quantum walks

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