8th RED LHC workshop

A dynamical implementation of canonical second quantization on a quantum computer

Not scheduled

20m

Universidad Complutense de Madrid (UCM)

Speaker

Felipe J. Llanes-Estrada

Description

We provide the necessary theoretical methods for the implementation of creation and destruction operators in separate registers of a quantum computer, allowing for a transparent and dynamical creation and destruction of particle modes in second quantization in problems with variable particle number. We establish theorems for the commutation (anticommutation) relations and provide the needed symmetrizing and antisymmetrizing operators. Finally, we provide formulae in terms of these operators for unitary evolution under conventional two- and four-body Hamiltonian terms.