Universal Quantum Computation With Majorana Fermion Edge Modes Through Microwave Spectroscopy Of Quasi-1D Cold Gases In Optical Lattices

Abstract

We describe how microwave spectroscopy of cold fermions in quasi-1D traps can be used to detect, manipulate, and entangle exotic non-local qbits associated with "Majorana" edge modes. We present different approaches to generate the p-wave superfluidity which is responsible for these topological zero-energy edge modes. We find that the edge modes have clear signatures in the microwave spectrum, and that the line shape distinguishes between the degenerate states of a qbit encoded in these edge modes. Moreover, the microwaves rotate the system in its degenerate ground-state manifold. We use these rotations to implement a set of universal quantum gates, allowing the system to be used as a universal quantum computer.

16 pages, 9 figures; added a new paragraph in sections I, IV, V and IXB1; added citations to sections I and II; corrected typos; conclusions unchanged

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Cited by in corpus (4)

• Synthetic dimensions in ultracold molecules: quantum strings and membranes
• Spin-orbit-coupled topological Fulde-Ferrell states of fermions in a harmonic trap
• Effects of Gapless Bosonic Fluctuations on Majorana Fermions in Atomic Wire Coupled to a Molecular Reservoir
• Bosonic molecules in a lattice: unusual fluid phase from multichannel interactions