# Digital Quantum Simulations of Spin Models on Hybrid Platform and Near-Term Quantum Processors

## TL;DR

This paper reviews a theoretical platform for digital quantum simulations using mechanical resonators and compares it with current superconducting qubit processors, highlighting potential advantages in fidelity and scalability.

## Contribution

It introduces a hybrid platform based on nano-oscillators for quantum simulation and demonstrates its potential advantages over existing superconducting qubit systems.

## Key findings

- Current superconducting processors can perform digital quantum simulations.
- Mechanical resonator-based qubits could outperform superconducting qubits in fidelity.
- The proposed platform offers a scalable approach for quantum simulations.

## Abstract

We review a recent theoretical proposal for a universal quantum computing platform based on tunable nonlinear electromechanical nano-oscillators, in which qubits are encoded in the anharmonic vibrational modes of mechanical resonators coupled to a superconducting circuitry. The digital quantum simulation of spin-type model Hamiltonians, such as the Ising model in a transverse field, could be performed with very high fidelities on such a prospective platform. Here we challenge our proposed simulator with the actual IBM-Q quantum processor available on cloud. We show that such state-of-art implementation of a quantum computer, based on transmon qubits and superconducting technology, is able to perform digital quantum simulations. However, encoding the qubits in mechanical degrees of freedom would allow to outperform the current implementations in terms of fidelity and scalability of the quantum simulation.