Quantum simulation of quantum field theories for trapped ions (DAQS): J. Casanova, L. Lamata, I. L. Egusquiza, R. Gerritsma, C. F. Roos, J. J. García-Ripoll, and E. Solano, “Quantum simulation of quantum field theories in trapped ions”, Phys. Rev. Lett. 107, 260501 (2011). Link: [1107.5233] Quantum Simulation of Quantum Field Theories in Trapped Ions (arxiv.org)

In this work, we develop for the first time the possibility of combining qubits and motional modes in trapped ions for a quantum computation of quantum field theories in the co-design paradigm. Harmonic oscillator excitations are not mapped onto qubits, in-built harmonic oscillators in the architecture represent harmonic oscillators in the model. This proposal was tested in the lab and published later.

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