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

Abstract

We propose and analyze a probabilistic scheme to entangle two spatially separated topological qubits in a $p_x+i{p}_y$ 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.

4+ pages, 3 figures, display problems of figures in previous version are corrected, accepted for publication in PRL

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Cited by in corpus (17)

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• Controlled-NOT for multiparticle qubits and topological quantum computation based on parity measurements
• Majorana qubit rotations in microwave cavities
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Splitting and oscillation of Majorana zero modes in the p-wave BCS-BEC evolution with plural vortices
• Robustness of Majorana Modes and Minigaps in a Spin-Orbit-Coupled Semiconductor-Superconductor Heterostructure
• Observation of unitary p-wave interactions between fermions in an optical lattice
• A practical phase gate for producing Bell violations in Majorana wires
• Non-locality of non-Abelian anyons
• Realization of Topological Quantum Computation with surface codes
• On SU(2) anomaly and Majorana fermions
• Proposed all-versus-nothing violation of local realism in the Kitaev spin-lattice model
• Universal Quantum Computation With Majorana Fermion Edge Modes Through Microwave Spectroscopy Of Quasi-1D Cold Gases In Optical Lattices
• Topological Quantum Computing with p-Wave Superfluid Vortices
• Stability of the singular vortex and associated Majorana zero modes in trapped p-wave resonant superfluids of neutral cold atoms