Abstract

This talk shows how to recast quantum algorithms in a purely Hamiltonian form, substituting time-dependent Hamiltonian controls for the conventional quantum logic gate picture. Using the example of the quantum singular value transformation (“the mother of all quantum algorithms,” according to Ike Chuang), I show that Hamiltonian quantum computing can supply significant advantages in terms of time and decoherence compared with the gate based model.

[1] ‘Hamiltonian singular value transformation and inverse block encoding’, Seth Lloyd, Bobak T. Kiani, David R. M. Arvidsson-Shukur, Samuel Bosch, Giacomo De Palma, William M. Kaminsky, Zi-Wen Liu, Milad Marvian, arXiv Preprint: https://arxiv.org/abs/2104.01410

Where: Virtually on Zoom https://us02web.zoom.us/j/88908652048?pwd=MDV3N3k0YnNWMlhKOEk1NDZlUEtaUT09