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Quantum Computing for the Wess-Zumino Model
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abstract
Future quantum computers will enable novel sign-problem-free studies of dynamical phenomena in non-perturbative quantum field theories, including real-time evolution and spontaneous supersymmetry breaking. We are investigating applications of quantum computing to low-dimensional supersymmetric lattice systems that can serve as testbeds for existing and near-future quantum devices. Here we present initial results for the $\mathcal{N} = 1$ Wess--Zumino model in 1+1 dimensions, building on our prior analyses of 0+1-dimensional supersymmetric quantum mechanics. In addition to exploring supersymmetry breaking using the variational quantum eigensolver, we consider the prospects for real-time evolution.
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Cited by 1 Pith paper
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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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