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.
Primary authors
Juan José Gálvez Viruet
(Univ. Complutense Madrid)
Felipe J. Llanes-Estrada