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19982024
most citedThe Invar Tensor Package

117 citations · 1.1k across the 71 of their papers we have counts for

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Showing 2007Show all

5 papers · 1 filter

quant-ph2007★ 46 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…

astro-ph2007

Bulk viscosity and deflationary universes

J. A. S. Lima, R. Portugal, I. Waga

We analyze the conditions that make possible the description of entropy generation in the new inflationary model by means of a nearequilibrium process. We show that there are situa…

quant-ph2007★ 2 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…

quant-ph2007★ 3 cited

Quantum algorithm for the hidden subgroup problem on a class of semidirect product groups

Carlos Magno M. Cosme, Renato Portugal

We present efficient quantum algorithms for the hidden subgroup problem (HSP) on the semidirect product of cyclic groups , where is any odd prime num…

cs.SC2007★ 117 cited

The Invar Tensor Package

Jose M. Martin-Garcia, Renato Portugal, Leon R. U. Manssur

The Invar package is introduced, a fast manipulator of generic scalar polynomial expressions formed from the Riemann tensor of a four-dimensional metric-compatible connection. The…