Alessandro Ferraro
Quantum Computation with mechanical cluster states.
I will outline how opto- or electro-mechanical quantum systems can be exploited in a single set-up to enable (1) the generation of universal continuous-variable cluster states, (2) their tomographic reconstruction, and (3) general Gaussian quantum computation.
In particular, I will focus on systems composed of a driven cavity mode interacting with a set of mechanical resonators. I will first present a scheme for generating universal resources for quantum computation over continuous variables, the so-called cluster states. The main feature of this scheme is that the graph states are hosted in the mechanical degrees of freedom, which are dissipatively driven to the desired target state via a multi-tone drive of the cavity mode. Then, I will show that, designing a suitable drive, the statistics of an arbitrary mechanical quadrature can be encoded in the cavity field. The latter can be measured, thus enabling the full tomographic reconstruction of the resonators. Finally, I will present a method to perform arbitrary Gaussian operations over the mechanical cluster state -- a necessary step towards universal computation.