English

Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $ip_y$ Superfluid of Fermionic Cold Atoms

Quantum Physics 2007-05-23 v1 Mesoscale and Nanoscale Physics

Abstract

We propose to use the recently predicted two-dimensional `weak-pairing' px+ipyp_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 read-out of the topological qubits, we propose realistic schemes suitable for atomic superfluids.

Keywords

Cite

@article{arxiv.quant-ph/0606101,
  title  = {Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $ip_y$ Superfluid of Fermionic Cold Atoms},
  author = {Sumanta Tewari and S. Das Sarma and Chetan Nayak and Chuanwei Zhang and P. Zoller},
  journal= {arXiv preprint arXiv:quant-ph/0606101},
  year   = {2007}
}