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20012009
most citedMixing Times in Quantum Walks on the Hypercube

46 citations · 259 across the 20 of their papers we have counts for

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Showing 2006Show all

7 papers · 1 filter

physics.data-an200611 cited

Fear and its implications for stock markets

Ingve Simonsen, Peter Toke Heden Ahlgren, Mogens H. Jensen +2

The value of stocks, indices and other assets, are examples of stochastic processes with unpredictable dynamics. In this paper, we discuss asymmetries in short term price movements…

quant-ph20064 cited

Classical search algorithm with resonances in cycles

A. Romanelli, R. Donangelo

In this work we use the wave equation to obtain a classical analog of the quantum search algorithm and we verify that the essence of search algorithms resides in the establishment…

quant-ph200618 cited

Conditional Quantum Walk and Iterated Quantum Games

G. Abal, R. Donangelo, H. Fort

Iterated bipartite quantum games are implemented in terms of the discrete-time quantum walk on the line. Our proposal allows for conditional strategies, as two rational agents make…

cond-mat.stat-mech20068 cited

Schematic models for fragmentation of brittle solids in one and two dimensions

F. P. M. dos Santos, R. Donangelo, S. R. Souza

Stochastic models for the development of cracks in 1 and 2 dimensional objects are presented. In one dimension, we focus on particular scenarios for interacting and non-interacting…

physics.soc-ph200629 cited

Synchronization Model for Stock Market Asymmetry

Raul Donangelo, Mogens H. Jensen, Ingve Simonsen +1

The waiting time needed for a stock market index to undergo a given percentage change in its value is found to have an up-down asymmetry, which, surprisingly, is not observed for t…

quant-ph200613 cited

Effects of non-local initial conditions in the Quantum Walk on the line

G. Abal, R. Donangelo, A. Romanelli +1

We report an enhancement of the decay rate of the survival probability when non-local initial conditions in position space are considered in the Quantum Walk on the line. It is sho…