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Quantum simulation of φ4 theories in qudit systems

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

Year

2021

Paper ID

61960

Status

Preprint

Abstract Read

~2 min

Abstract Words

79

Citations

N/A

Abstract

We discuss the implementation of quantum algorithms for lattice Φ4 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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2021 reference point for readers tracking recent quantum research.
  • We discuss the implementation of quantum algorithms for lattice Φ^4 theory on circuit quantum electrodynamics (cQED) system.

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