Electromechanical quantum simulators
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Abstract
Quantum simulators are one of the most appealing applications of a quantum computer. Here we propose a universal, scalable, and integrated quantum computing platform based on tunable qubits encoded in electromechanical nano-oscillators within a superconducting microwave circuit. It is shown that very high operational fidelities can be achieved in a minimal architecture where qubits are encoded in the anharmonic vibrational modes of mechanical nanoresonators, whose effective coupling is mediated by virtual fluctuations of an intermediate superconducting artificial atom. We explicitly show, by using realistic parameters, the digital quantum simulation of the transverse field Ising model as a paradigmatic example, displaying very large theoretical fidelities, and discuss its potential scalability to simulate more complex model Hamiltonians.