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20052014
most citedAdiabatic quantum algorithm for search engine ranking

104 citations · 537 across the 20 of their papers we have counts for

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17 papers · 1 filter

quant-ph2014★ 12 cited

Quantum algorithms for topological and geometric analysis of big data

Seth Lloyd, Silvano Garnerone, Paolo Zanardi

Extracting useful information from large data sets can be a daunting task. Topological methods for analyzing data sets provide a powerful technique for extracting such information.…

quant-ph2013★ 11 cited

Pure state thermodynamics with matrix product states

Silvano Garnerone

We extend the formalism of pure state thermodynamics to matrix product states. In pure state thermodynamics finite temperature properties of quantum systems are derived without the…

quant-ph2013★ 13 cited

Generalized quantum microcanonical ensemble from random matrix product states

Silvano Garnerone, Thiago R. de Oliveira

We propose a tensor network algorithm for the efficient sampling of quantum pure states belonging to a generalized microcanonical ensemble. The algorithm consists in an adaptation…

quant-ph2013★ 26 cited

Phase transition of light on complex quantum networks

Arda Halu, Silvano Garnerone, Alessandro Vezzani +1

Recent advances in quantum optics and atomic physics allow for an unprecedented level of control over light-matter interactions, which can be exploited to investigate new physical…

quant-ph2012★ 25 cited

Thermodynamic formalism for dissipative quantum walks

Silvano Garnerone

We consider the dynamical properties of dissipative continuous-time quantum walks on directed graphs. Using a large-deviation approach we construct a thermodynamic formalism allowi…

quant-ph2011★ 104 cited

Adiabatic quantum algorithm for search engine ranking

Silvano Garnerone, Paolo Zanardi, Daniel A. Lidar

We propose an adiabatic quantum algorithm for generating a quantum pure state encoding of the PageRank vector, the most widely used tool in ranking the relative importance of inter…