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

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

URL: http://arxiv.org/abs/2108.13357v3
Date: Mon, 11 Apr 2022 16:10:39 GMT
Title: Quantum simulation of $\phi^4$ theories in qudit systems
Authors: Doga Murat Kurkcuoglu and M. Sohaib Alam and Joshua Adam Job and Andy C. Y. Li and Alexandru Macridin and Gabriel N. Perdue and Stephen Providence
Abstract summary: We discuss the implementation of quantum algorithms for lattice $Phi4$ theory on circuit quantum electrodynamics (cQED) system. 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.
Score: 53.122045119395594
License: http://creativecommons.org/licenses/by/4.0/
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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