14 citations · 52 across the 20 of their papers we have counts for
21 papers
Path Averaged Polynomial Contractions: A New Generalization of Polynomial Contractions, Path-Averaged Contractions, and Banach Contractions
Clement Boateng Ampadu, Nicola Fabiano
The notion of polynomial contraction appeared in [2], whilst the notion of path-averaged contraction appeared in [3] for metric spaces, in [4,5] for b-metric spaces, , and in [6] f…
Derivative Type Mapping Theorem for the Interpolative Berinde Weak Contraction in Metric Spaces with Application
Clement Boateng Ampadu
Olatinwo [3] introduced contractive definitions of the derivative type, and gave a new characterization of the Banach contraction principle, and fixed point theorems for contractio…
Ito's formula for the discrete-time quantum walk in two dimensions
Clement Ampadu
Following [Konno, arXiv:1112.4335], it is natural to ask: What is the Ito's formula for the discrete time quantum walk on a graph different than Z, the set of integers? In this pap…
Limit Theorems for Decoherent Two Dimensional Quantum Walks
Clement Ampadu
In this paper we consider the model with decoherence operators introduced by [Brun,T.A, et.al, Phys.Rev.A 67 (2003) 032304] which has recently been considered in the two-dimensiona…
Limit Theorems for Quantum Walks on the Union of Planes
Clement Ampadu
We extend the construction given by [Chisaki et.al, arXiv:1009.1306v1] from lines to planes, and obtain the associated limit theorems for quantum walks on such a graph.
Von Neumann Entanglement and Decoherence in Two Dimensional Quantum Walks
Clement Ampadu
Using the concept of von Neumann entropy, we quantify the information content of the various components of the quantum walk system, including the mutual information between its sub…