Speaker
Simone Romiti
(University of Bonn)
Description
Numerical simulations of quantum Hamiltonians can be done representing the degrees of freedom as matrices acting on a truncated Hilbert space. Here we present a formulation for the lattice $SU(2)$ gauge theory in the so called "magnetic basis", where the gauge links are unitary and diagonal. The latter are obtained from a direct discretization of the group manifold, while the canonical momenta are built using an orthogonal transform on $S_3$. We discuss general considerations on the contraints of the spectrum of the free theory and the continuum manifold limit.
| Topical area | Quantum Computing and Quantum Information |
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Primary author
Simone Romiti
(University of Bonn)
Co-authors
Timo Jakobs
(University of Bonn)
marco garofalo
(University of Bonn)
Tobias Hartung
(Northeastern University - London)
Karl Jansen
(Deutsches Elektronen-Synchrotron DESY, Platanenallee 6, 15738 Zeuthen, Germany)
Johann Ostmeyer
(University of Liverpool)
Dominik Rolfes
(University of Bonn)
Carsten Urbach
(University of Bonn)