14 citations · 24 across the 4 of their papers we have counts for
4 papers
Localization of Two-Dimensional Five-State Quantum Walks
Clement Ampadu
We investigate a generalized Hadamard walk in two dimensions with five inner states. The particle governed by a five-state quantum walk (5QW) moves, in superposition, either leftwa…
Localization of M-Particle Quantum Walks
Clement Ampadu
We study the motion of M particles performing a quantum walk on the line. Under various conditions on the initial coin states for quantum walkers controlled by the Hadamard operato…
M-Particle Quantum Walks with Delta-Interaction
Clement Ampadu
We consider directional correlations between M-particles on a line. For non-interacting particles we find analytic asymptotic expressions. When delta-interaction is introduced in t…
Limit Theorems For Quantum Walks Associated with Hadamard Matrices
Clement Ampadu
We study a one-parameter family of discrete-time quantum walk models on the line and in the xy-plane associated with the Hadamard walk. Weak convergence in the long-time limit of a…