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19992026
most citedVariable selection in nonparametric additive models

555 citations

Showing 2011Show all

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math-ph2011

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.

math-ph2011★ 2 cited

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…

math-ph2011★ 3 cited

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.

math-ph2011

Limit Theorems for the Disordered Quantum Walk

Clement Ampadu

We study the disordered quantum walk in one dimension, and obtain the weak limit theorem.

math-ph2011★ 4 cited

Limit Theorems for the Fibonacci Quantum Walk

Clement Ampadu

We study the discrete-time quantum walk in one-dimension governed by the Fibonacci transformation .We show localization does not occur for the Fibonacci quantum walk by investigati…

cond-mat.mtrl-sci2011★ 28 cited

Formation of Collapsed Tetragonal Phase in EuCo2As2 under High Pressure

Matthew Bishop, Walter Uhoya, Georgiy Tsoi +3

The structural properties of EuCo2As2 have been studied up to 35 GPa, through the use of x-ray diffraction in a diamond anvil cell at a synchrotron source. At ambient conditions, E…

quant-ph2011★ 1 cited

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…