110 citations · 538 across the 25 of their papers we have counts for
25 papers
Unitary and Nonunitary Representations of the Heisenberg-Weyl Lie Algebra
Andrew Douglas, Hubert de Guise, Joe Repka
We examine unitary and nonunitary representations of the Heisenberg-Weyl Lie algebra , with particular emphasis on tensor products of unitary representations and o…
Linear cross-entropy certification of quantum computational advantage in Gaussian Boson Sampling
Javier Martínez-Cifuentes, Hubert de Guise, Nicolás Quesada
Validation of quantum advantage claims in the context of Gaussian Boson Sampling (GBS) currently relies on providing evidence that the experimental samples genuinely follow their c…
Benchmarking of universal qutrit gates
David Amaro-Alcalá, Barry C. Sanders, Hubert de Guise
We introduce a characterisation scheme for a universal qutrit gate set. Motivated by the rising interest in qutrit systems, we apply our criteria to establish that our hyperdihedra…
covariant -parametrized maps
Andrei B. Klimov, Ulrich Seyfarth, Hubert de Guise +1
We propose a practical recipe to compute the -parametrized maps for systems with symmetry using a connection between the and symbols through the action…
Interferometrically estimating a quadratic form for any immanant of a matrix and its permutations
Aeysha Khalique, Hubert de Guise, Barry C. Sanders
We devise a multiphoton interferometry scheme for sampling a quadratic function of a specific immanant for any submatrix of a unitary matrix and its row permutations. The full unit…
SU(3) Clebsch-Gordan coefficients and some of their symmetries
Alex Clesio Nunes Martins, Mark W. Suffak, Hubert de Guise
We discuss the construction and symmetries of su(3) Clebsch-Gordan coefficients arising from the su(3) basis states constructed as triple tensor products of two-dimensional harmoni…