SU(2) lattice gauge theory on a quantum annealer
- URL: http://arxiv.org/abs/2103.08661v2
- Date: Fri, 6 Aug 2021 16:03:05 GMT
- Title: SU(2) lattice gauge theory on a quantum annealer
- Authors: Sarmed A Rahman, Randy Lewis, Emanuele Mendicelli, Sarah Powell
- Abstract summary: lattice gauge theory is an essential tool for strongly interacting non-Abelian fields.
Recent studies suggest that quantum computers could extend the reach of lattice gauge theory in dramatic ways.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Lattice gauge theory is an essential tool for strongly interacting
non-Abelian fields, such as those in quantum chromodynamics where lattice
results have been of central importance for several decades. Recent studies
suggest that quantum computers could extend the reach of lattice gauge theory
in dramatic ways, but the usefulness of quantum annealing hardware for lattice
gauge theory has not yet been explored. In this work, we implement SU(2) pure
gauge theory on a quantum annealer for lattices comprising a few plaquettes in
a row with a periodic boundary condition. These plaquettes are in two spatial
dimensions and calculations use the Hamiltonian formulation where time is not
discretized. Numerical results are obtained from calculations on D-Wave
Advantage hardware for eigenvalues, eigenvectors, vacuum expectation values,
and time evolution. The success of this initial exploration indicates that the
quantum annealer might become a useful hardware platform for some aspects of
lattice gauge theories.
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