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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…
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…
A Quantum Analogue of Parrondo's Game
Clement Ampadu
We consider the discrete-time quantum walk in the plane, and present a quantum implementation of Parrondo's game for four players. Physical significance of the game strategies are…
Brun-Type Formalism for Decoherence in Two Dimensional Quantum Walks
Clement Ampadu
We study decoherence in the quantum walk on the xy-plane. We generalize the method of decoherent coin quantum walk, introduced by [T.A. Brun, et.al, Phys.Rev.A 67 (2003) 032304],wh…