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Decoherence and quantum walks: Anomalous diffusion and ballistic tails
Strong coupling density matrix particles lattice
2014/12/20
The common perception is that strong coupling to the environment will always render the evolution of the system density matrix quasiclassical (in fact, diffusive) in the long time limit. We present he...
Framework for discrete-time quantum walks and a symmetric walk on a binary tree
discrete-time quantum walks symmetric walk Framework Quantum Physics
2011/10/9
Abstract: We formulate a framework for discrete-time quantum walks, motivated by classical random walks with memory. We present a specific representation of the classical walk with memory 2 on which t...
Abstract: 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 operator, we give...
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 ...
We consider crossovers with respect to the weak convergence theorems from a discrete-time quan-
tum walk (DTQW). We show that a continuous-time quantum walk (CTQW) and discrete- and
continuous-time ...
Finding structural anomalies in graphs by means of quantum walks
structural anomalies in graphs quantum walks
2010/10/18
We explore the possibility of using quantum walks on graphs to find structural anomalies, such as extra edges or loops, on a graph. We focus our attention on star graphs, whose edges are like spokes c...
Asymptotic evolution of quantum walks with random coin
Asymptotic evolution quantum walks random coin
2010/10/19
We study the asymptotic position distribution of general quantum walks on a lattice, including
walks with a random coin, which is chosen from step to step by a general Markov chain. In the
unitary (...
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...