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arxiv: 2108.13357 · v3 · pith:UED7WVXAnew · submitted 2021-08-30 · 🪐 quant-ph

Quantum simulation of φ⁴ theories in qudit systems

Doga Murat Kurkcuoglu , M. Sohaib Alam , Joshua Adam Job , Andy C. Y. Li , Alexandru Macridin , Gabriel N. Perdue , Stephen Providence This is my paper
classification 🪐 quant-ph
keywords fieldgatequantumsingle-quditgatesquditsystemsaddress
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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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