14 citations · 52 across the 20 of their papers we have counts for
9 papers · 2 filters
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…
On the Recurrence Character of the Hadamard walk in the Plane
Clement Ampadu
We study return to the origin on the square lattice and investigate the stability properties of the Hadamard walk in the presence of bias.
Spectral analysis of discrete-time quantum walks in the quarter plane
Clement Ampadu
Using the Cantero-Grunbaum-Moral-Velazquez (CGMV) method, we obtain the spectral measure for the quantum walk.
Sojourn Times for the One Dimensional Grover Walk
Clement Ampadu
Using the technique of path counting we show non-existence of sojourn times in the Grover walk which is related to the Grover's algorithm in computer science.
On the von Neumann and Shannon Entropies for Quantum Walks on Z^2
Clement Ampadu
We give asymptotic behaviors of the von Neumann entropy and the Shannon entropy of discrete-time quantum walks on Z^2