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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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quant-ph200746 cited

Mixing Times in Quantum Walks on the Hypercube

F. L. Marquezino, R. Portugal, G. Abal +1

The mixing time of a discrete-time quantum walk on the hypercube is considered. The mean probability distribution of a Markov chain on a hypercube is known to mix to a uniform dist…

quant-ph20079 cited

Asymptotic entanglement in the discrete-time quantum walk

G. Abal, R. Donangelo, H. Fort

The coin-position entanglement generated by the evolution operator of a discrete--time quantum walk converges, in the long time limit, to a well defined value which depends on the…

quant-ph200721 cited

Decoherent quantum walks driven by a generic coin operation

G. Abal, R. Donangelo, F. Severo +1

We consider the effect of different unitary noise mechanisms on the evolution of a quantum walk (QW) on a linear chain with a generic coin operation: (i) bit-flip channel noise, re…

cond-mat.stat-mech20071 cited

Emergence of scale-free behavior in networks from limited-horizon linking and cost trade-offs

Valmir C. Barbosa, Raul Donangelo, Sergio R. Souza

We study network growth from a fixed set of initially isolated nodes placed at random on the surface of a sphere. The growth mechanism we use adds edges to the network depending on…

quant-ph20072 cited

Simulation of the Single- and Double-Slit Experiments with Quantum Walkers

Amanda C. Oliveira, Renato Portugal, Raul Donangelo

We employ the broken-link model to create a barrier with slits in a two-dimensional lattice. The diffraction and interference patterns of the probability distribution of quantum wa…

nucl-th20075 cited

Effects of geometric constraints on the nuclear multifragmentation process

S. R. Souza, R. Donangelo, W. G. Lynch +1

We include in statistical model calculations the facts that in the nuclear multifragmentation process the fragments are produced within a given volume and have a finite size. The c…