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20022009
most citedQuantum algorithm for solving linear systems of equations

3.4k citations

Showing 2007Show all

8 papers · 1 filter

math.CO20071 cited

The number of lattice paths below a cyclically shifting boundary

J. Irving, A. Rattan

We count the number of lattice paths lying under a cyclically shifting piecewise linear boundary of varying slope. Our main result extends well known enumerative formulae concernin…

quant-ph200726 cited

Entanglement-Enhanced Quantum Key Distribution

Olli Ahonen, Mikko Mottonen, Jeremy L. O'Brien

We present and analyze a quantum key distribution protocol based on sending entangled N-qubit states instead of single-qubit ones as in the trail-blazing scheme by Bennett and Bras…

math-ph20072 cited

The Riemann-Hilbert approach to double scaling limit of random matrix eigenvalues near the "birth of a cut" transition

M. Y. Mo

In this paper we studied the double scaling limit of a random unitary matrix ensemble near a singular point where a new cut is emerging from the support of the equilibrium measure.…

nlin.CD200765 cited

Isolated large amplitude periodic motions of towed rigid wheels

D. Takács, G. Stépán. S. J. Hogan

This study investigates a low degree-of-freedom (DoF) mechanical model of shimmying wheels. The model is studied using bifurcation theory and numerical continuation. Self-excited v…

math.ST200711 cited

Data-driven wavelet-Fisz methodology for nonparametric function estimation

Piotr Fryzlewicz

We propose a wavelet-based technique for the nonparametric estimation of functions contaminated with noise whose mean and variance are linked via a possibly unknown variance functi…

stat.CO2007

A note on convergence of the equi-energy sampler

Christophe Andrieu, Ajay Jasra, Arnaud Doucet +1

In a recent paper `The equi-energy sampler with applications statistical inference and statistical mechanics' [Ann. Stat. 34 (2006) 1581--1619], Kou, Zhou & Wong have presented a n…