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arXiv · 2108.13357

Quantum simulation of $\phi^4$ theories in qudit systems

Doga Murat Kurkcuoglu·M. Sohaib Alam·Joshua Adam Job·Andy C. Y. Li·Alexandru Macridin·Gabriel N. Perdue·Stephen Providence
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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.

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Doga Murat Kurkcuoglu, M. Sohaib Alam, Joshua Adam Job, Andy C. Y. Li, Alexandru Macridin, Gabriel N. Perdue, Stephen Providence. 2021-08-30. Quantum simulation of $\phi^4$ theories in qudit systems. https://arxiv.org/abs/2108.13357

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