Quantum simulations of lattice gauge theories in qubits require a truncation of the infinite dimensional Hilbert space. This alters the behavior of the model. However, recent progress in the control of bosonic qubits, which naturally host a large dimensional Hilbert space, points the way to efficient simulation of lattice gauge theories in $1+1$d that generalizes well to higher dimensions. We consider novel and realistic implementations of these models in circuit QED, in two different experimental regimes. We analyze the phase diagrams with matrix product state simulations and implement a variational quantum eigensolver in Bosonic Qiskit - our extension of Qiskit to bosonic circuits - to obtain the ground states. Furthermore, we compare the complexity of simulating lattice gauge theories with qubit and circuit QED architectures, finding that the latter provides orders of magnitude higher efficiency. Our results may be generalized to higher dimensions and non-abelian field theories.
|Presenter name||Eleanor Crane|
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