Electromechanical Quantum Simulators

TL;DR

This paper proposes a scalable quantum computing platform using electromechanical nano-oscillators, enabling high-fidelity quantum gates and simulations of complex Hamiltonians with realistic experimental parameters.

Contribution

It introduces a novel electromechanical quantum simulator architecture with high fidelities and practical implementation strategies for quantum computing and simulation.

Findings

High operational fidelities for single and two-qubit gates achieved.

Effective scheme for inducing large single-phonon nonlinearities.

High-fidelity digital quantum simulation demonstrated with realistic parameters.

Abstract

Digital quantum simulators are among the most appealing applications of a quantum computer. Here we propose a universal, scalable, and integrated quantum computing platform based on tunable nonlinear electromechanical nano-oscillators. It is shown that very high operational fidelities for single and two qubits gates 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. An effective scheme to induce large single-phonon nonlinearities in nano-electromechanical devices is explicitly discussed, thus opening the route to experimental investigation in this direction. Finally, we explicitly show the very high fidelities that can be reached for the digital quantum simulation of model Hamiltonians, by using realistic experimental parameters in state-of-the art devices, and considering the transverse field Ising model as a paradigmatic example.