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The CGMV method allows for the general discussion of localization properties for the states of a one-dimensional quantum walk, both in the case of the integers and in the case of the non negative inte...
Quantum walks and quantum simulations with Bloch oscillating spinor atoms
Quantum walks quantum simulations Bloch oscillating spinor atoms
2010/11/5
We propose a scheme for the realization of a quantum walker and a quantum simulator for the Dirac equation with ultracold spinor atoms in driven optical lattices. A precise control of the dynamics of ...
Continuous-time quantum walks on the threshold network model
quantum walks threshold network model
2010/3/10
It is well known that many real world networks have the power-law degree distribution (scale-free property). However there are no rigorous results for continuous-time quantum walks on such realistic g...
We show that certain types of quantum walks can be modeled as waves that propagate in a medium with phase and group velocities that are explicitly calculable. Since the group and phase velocities indi...