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

TL;DR

This paper proposes a probabilistic method to entangle topological qubits in a cold atom p-wave superfluid, enabling Bell inequality tests and deterministic universal quantum gates despite probabilistic entanglement creation.

Contribution

It introduces a novel probabilistic entanglement scheme for topological qubits in a superfluid, with methods for Bell tests and deterministic quantum gate implementation.

Findings

Entanglement can be generated probabilistically between topological qubits.

Bell inequality violation can be tested with the entangled states.

Universal quantum gates can be implemented deterministically using the entanglement.

Abstract

We propose and analyze a probabilistic scheme to entangle two spatially separated topological qubits in a $p_{x}+ip_{y}$ 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 \textit{deterministically} using the entanglement despite the fact that the entangled states can only be created probabilistically.