Bell's inequality and universal quantum gates in a cold-atom Chiral fermionic p-Wave superfluid

We propose and analyze a probabilistic scheme to entangle two spatially separated topological qubits in a px+ipy superfluid using controlled collisions between atoms in movable dipole traps and unpaired atoms inside vortex cores in the superfluid. We discuss how to test the violation of Bell's inequality with the generated entanglement. A set of universal quantum gates is shown to be implementable deterministically using the entanglement despite the fact that the entangled states can be created only probabilistically.