Speaker
marco garofalo
(University of Bonn)
Description
Hamiltonian simulations of quantum systems require a finite-dimensional representation of the operators acting on the Hilbert space. Here we present a discretization scheme for gauge links and canonical momenta of an SU(2) gauge theory which offers the possibility to freely refine the discretisation. This is achieved by discretising SU(2) and constructing the canonical momentum using the finite element method while the matrix representation of the gauge links is diagonal. We show that the fundamental commutation relations are fulfilled up to discretisation artefacts and the spectrum of the Hamiltonian is reproduced.
| Topical area | Quantum Computing and Quantum Information |
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Primary authors
Arianna Crippa
(DESY, Zeuthen)
marco garofalo
(University of Bonn)
Tobias Hartung
(Northeastern University - London)
Timo Jakobs
(University of Bonn)
Karl Jansen
(Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany)
Stefan Kühn
(DESY, Zeuthen)
Johann Ostmeyer
(University of Liverpool)
Dominik Rolfes
(University of Bonn)
Simone Romiti
(University of Bonn)
Carsten Urbach
(University of Bonn)