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, and P. Zoller
Phys. Rev. Lett. 98, 010506 – Published 5 January 2007

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 readout of the topological qubits, we propose realistic schemes suitable for atomic superfluids.

  • Received 13 June 2006

DOI:https://doi.org/10.1103/PhysRevLett.98.010506

©2007 American Physical Society

Authors & Affiliations

Sumanta Tewari1, S. Das Sarma1, Chetan Nayak2,3, Chuanwei Zhang1, and P. Zoller4

  • 1Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742, USA
  • 2Microsoft Project Q, Kohn Hall, University of California, Santa Barbara, California 93108, USA
  • 3Department of Physics and Astronomy, University of California, Los Angeles, California 90095-1547, USA
  • 4Institute for Theoretical Physics, University of Innsbruck, and Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, A-6020 Innsbruck, Austria

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Issue

Vol. 98, Iss. 1 — 5 January 2007

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