Synthetic $${{\mathbb{Z}}}_{2}$$ gauge theories based on parametric excitations of trapped ions
Oana Bǎzǎvan,
Sebastian Saner,
Emanuelle Tirrito
et al.
Abstract:Resource efficient schemes for the quantum simulation of lattice gauge theories can benefit from hybrid encodings of gauge and matter fields that use the native degrees of freedom, such as internal qubits and motional phonons in trapped-ion devices. We propose to use a parametric scheme to induce a tunneling of the phonons conditioned to the internal qubit state which, when implemented with a single trapped ion, corresponds to a minimal $${{\mathbb{Z}}}_{2}$$
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