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Dihedral Lattice Gauge Theories on a Quantum Annealer
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abstract
We study lattice gauge theory with discrete, non-Abelian gauge groups. We extend the formalism of previous studies on D-Wave's quantum annealer as a computing platform to finite, simply reducible gauge groups. As an example, we use the dihedral group $D_n$ with $n=3,4$ on a two plaquette ladder for which we provide proof-of-principle calculations of the ground-state and employ the known time evolution formalism with Feynman clock states.
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Cited by 1 Pith paper
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Quantum sampling on a quantum annealer for large volumes in the strong coupling limit for gauge group U(3)
A hybrid quantum annealer plus Metropolis-Hastings scheme reproduces classical Monte Carlo results for strong-coupling U(3) gauge theory on lattices up to 32x32 and 8^3x4.
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