7 citations · 32 across the 14 of their papers we have counts for
19 papers
Hypercube Quantum Search: Exact Computation of the Probability of Success in Polynomial Time
Hugo Pillin, Gilles Burel, Paul Baird +2
In the emerging domain of quantum algorithms, the Grover's quantum search is certainly one of the most significant. It is relatively simple, performs a useful task and more importa…
Four-dimensional Einstein metrics from biconformal deformations
Paul Baird, Jade Ventura
Biconformal deformations take place in the presence of a conformal foliation, deforming by different factors tangent to and orthogonal to the foliation. Four-manifolds endowed with…
Quadratic Cyclic Sequences
Paul Baird, Ai Fardoun, Zeina Ghazo Hanna
We explore relations between cyclic sequences determined by a quadratic difference relation, cyclotomic polynomials, Eulerian digraphs and walks in the plane. These walks correspon…
Biharmonic conformal maps in dimension four and equations of Yamabe-type
Paul Baird, Ye-Lin Ou
We prove that the problem of constructing biharmonic conformal maps on a -dimensional Einstein manifold reduces to a Yamabe-type equation. This allows us to construct an infinit…
A class of analytic pairs of conjugate functions in dimension three
Paul Baird, Elsa Ghandour
We exploit an ansatz in order to construct power series expansions for pairs of conjugate functions defined on domains of Euclidean --space. Convergence properties of the result…
On Ricci solitons and twistorial harmonic morphisms
Paul Baird, Radu Pantilie
We study the soliton flow on the domain of a twistorial harmonic morphism between Riemannian manifolds of dimensions four and three. Assuming real-analyticity, we prove that, for t…