Quantum computation using vortices and Majorana zero modes of a px+ ipy superfluid of fermionic cold atoms

We propose to use the recently predicted two-dimensional weak-pairing p(x)+ip(y) superfluid state of fermionic cold atoms as a platform for topological quantum computation. In the core of a vortex, this state supports a zero-energy Majorana mode, which moves to finite energy in the corresponding topologically trivial strong-pairing state. By braiding vortices in the weak-pairing state, unitary quantum gates can be applied to the Hilbert space of Majorana zero modes. For readout of the topological qubits, we propose realistic schemes suitable for atomic superfluids.