Quantum Computation Using Vortices and Majorana Zero Modes of a px + ipy Superfluid of Fermionic Cold Atoms
Sumanta Tewari, S. Das Sarma, Chetan Nayak, Chuanwei Zhang, P. Zoller
Abstract
We propose to use the recently predicted two-dimensional `weak-pairing' px + ipy 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 read-out of the topological qubits, we propose realistic schemes suitable for atomic superfluids.
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