How to emulate quantum spin liquids and build topological qubits with available quantum hardware

We show how to construct fully quantum multi-spin interactions using only two-body Ising interactions plus a uniform transverse field. We then provide an explicit embedding of simple gauge models, such as the surface code, into the D-Wave chimera architecture. Taken as whole this is a way to build topological qubits using existing hardware. The scheme is generalizable to other gauge-like theories, for example those with fractonic topological order such as the X-cube model. The bottom-up construction of this paper is a blueprint to emulate topologically ordered quantum spin liquids in programmable quantum machines.

 

Pizza and drinks served 10 min. before talk