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Quantum simulation of $\phi^4$ theories in qudit systems
D. Kurkcuoglu, M. S. Alam, Joshua Job, A. Li, A. Macridin, G. Perdue, S. Providence·August 30, 2021
Physics
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Abstract
We discuss the implementation of quantum algorithms for lattice $\Phi^4$ theory on circuit quantum electrodynamics (cQED) system. The field is represented on qudits in a discretized field amplitude basis. The main advantage of qudit systems is that its multi-level characteristic allows the field interaction to be implemented only with diagonal single-qudit gates. Considering the set of universal gates formed by the single-qudit phase gate and the displacement gate, we address initial state preparation and single-qudit gate synthesis with variational methods.