Generation of cluster states in optomechanical quantum systems

TL;DR

This paper presents a method to generate large, customizable continuous-variable cluster states in an optomechanical system, with states stored in mechanical resonators, advancing quantum computation capabilities.

Contribution

It introduces a novel scheme for creating mechanical cluster states using a 2N-tone laser drive, differing from previous methods by hosting states in mechanical rather than radiative modes.

Findings

Successfully generates arbitrary size and shape cluster states

Demonstrates robustness against mechanical noise and finite interaction times

Provides a solid-state platform for continuous-variable quantum computation

Abstract

We consider an optomechanical quantum system composed of a single cavity mode interacting with N mechanical resonators. We propose a scheme for generating continuous-variable graph states of arbitrary size and shape, including the so-called cluster states for universal quantum computation. The main feature of this scheme is that, differently from previous approaches, the graph states are hosted in the mechanical degrees of freedom rather than in the radiative ones. Specifically, via a 2N-tone laser drive, we engineer a linear Hamiltonian which is instrumental to dissipatively drive the system to the desired target state. The robustness of this scheme is assessed against finite interaction times and mechanical noise, confirming it as a valuable approach towards quantum state engineering for continuous-variable computation in a solid-state platform.