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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 topologicalquantum computation. In the core of a vortex, this state supports a zero-energyMajorana mode, which moves to finite energy in the corresponding topologicallytrivial `strong-pairing' state. By braiding vortices in the `weak-pairing'state, unitary quantum gates can be applied to the Hilbert space of Majoranazero-modes. For read-out of the topological qubits, we propose realisticschemes suitable for atomic superfluids

physical review letters

Quantum Computation using Vortices and Majorana Zero Modes of a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>p</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi>i</mml:mi><mml:msub><mml:mi>p</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:math>Superfluid of Fermionic Cold Atoms

Quantum Computation using Vortices and Majorana Zero Modes of apx+ipySuperfluid of Fermionic Cold Atoms