17 research outputs found
The role of city geometry in determining the utility of a small urban light rail/tram system
In this work, we show the importance of considering a city's shape, as much
as its population density figures, in urban transport planning. We consider in
particular cities that are circular (the most common shape) compared to those
that are rectangular: For the latter case we show greater utility for a single
line light rail/tram system. We introduce the new concepts of Infeasible
Regions and Infeasibility Factors, and show how to calculate them numerically
and (in some cases) analytically. A particular case study is presented for
Galway City.Comment: 22 pages. This version has more details on exact calculation of
Infeasibility Factors. Accepted for publication in the Springer Journal
"Public Transport
Quantum walks on two kinds of two-dimensional models
In this paper, we numerically study quantum walks on two kinds of
two-dimensional graphs: cylindrical strip and Mobius strip. The two kinds of
graphs are typical two-dimensional topological graph. We study the crossing
property of quantum walks on these two models. Also, we study its dependence on
the initial state, size of the model. At the same time, we compare the quantum
walk and classical walk on these two models to discuss the difference of
quantum walk and classical walk
How Quantum Information can improve Social Welfare
It has been shown elsewhere that quantum resources can allow us to achieve a
family of equilibria that can have sometimes a better social welfare, while
guaranteeing privacy. We use graph games to propose a way to build
non-cooperative games from graph states, and we show how to achieve an
unlimited improvement with quantum advice compared to classical advice
One-dimensional lazy quantum walks and occupancy rate
In this paper, we discuss the properties of lazy quantum walks. Our analysis shows that the lazy quantum walks have O(t(n)) order of the n-th moment of the corresponding probability distribution, which is the same as that for normal quantum walks. The lazy quantum walk with a discrete Fourier transform (DFT) coin operator has a similar probability distribution concentrated interval to that of the normal Hadamard quantum walk. Most importantly, we introduce the concepts of occupancy number and occupancy rate to measure the extent to which the walk has a (relatively) high probability at every position in its range. We conclude that the lazy quantum walks have a higher occupancy rate than other walks such as normal quantum walks, classical walks, and lazy classical walks
Quantum walks on two kinds of two-dimensional models
In this paper, we numerically study quantum walks on two kinds of two-dimensional graphs: cylindrical strip and Mobius strip. The two kinds of graphs are typical two-dimensional topological graph. We study the crossing property of quantum walks on these two models. Also, we study its dependence on the initial state, size of the model. At the same time, we compare the quantum walk and classical walk on these two models to discuss the difference of quantum walk and classical walk