no code implementations • 6 Sep 2023 • Ben Jaderberg, Antonio A. Gentile, Youssef Achari Berrada, Elvira Shishenina, Vincent E. Elfving
Parameterized quantum circuits as machine learning models are typically well described by their representation as a partial Fourier series of the input features, with frequencies uniquely determined by the feature map's generator Hamiltonians.
no code implementations • 14 Dec 2022 • Atiyo Ghosh, Antonio A. Gentile, Mario Dagrada, Chul Lee, Seong-hyok Kim, Hyukgeun Cha, Yunjun Choi, Brad Kim, Jeong-il Kye, Vincent E. Elfving
Harmonic functions are abundant in nature, appearing in limiting cases of Maxwell's, Navier-Stokes equations, the heat and the wave equation.
1 code implementation • 14 Feb 2020 • Antonio A. Gentile, Brian Flynn, Sebastian Knauer, Nathan Wiebe, Stefano Paesani, Christopher E. Granade, John G. Rarity, Raffaele Santagati, Anthony Laing
An isolated system of interacting quantum particles is described by a Hamiltonian operator.