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Exploring lattice supersymmetry with variational quantum deflation
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Lattice studies of spontaneous supersymmetry breaking suffer from a sign problem that in principle can be evaded through novel methods enabled by quantum computing. Focusing on lower-dimensional lattice systems with more modest resource requirements, in particular the N=1 Wess--Zumino model in 1+1 dimensions, we are exploring ways quantum computing could be used to study spontaneous supersymmetry breaking. A particularly promising recent development is to apply the variational quantum deflation algorithm, which generalizes the variational quantum eigensolver so as to resolve multiple low-energy states.
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Towards quantum simulation of lower-dimensional supersymmetric lattice models
VQE simulations of 0+1 dimensional supersymmetric quantum mechanics show that shot noise can mimic spontaneous supersymmetry breaking, and that a general-purpose ansatz fails for larger bosonic truncations.
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