Quantum computation using vortices and majorana zero modes of a px + ipy superfluid of fermionic cold atoms.
TLDR
The recently predicted two-dimensional "weak-pairing" px + ipy superfluid state of fermionic cold atoms is used as a platform for topological quantum computation and realistic schemes suitable for atomic superfluids are proposed.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.read more
Citations
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Journal ArticleDOI
Non-Abelian Anyons and Topological Quantum Computation
TL;DR: In this article, the authors describe the mathematical underpinnings of topological quantum computation and the physics of the subject are addressed, using the ''ensuremath{
u}=5∕2$ fractional quantum Hall state as the archetype of a non-Abelian topological state enabling fault-tolerant quantum computation.
Non-Abelian Anyons and Topological Quantum Computation
TL;DR: In this article, the authors describe the mathematical underpinnings of topological quantum computation and the physics of the subject using the nu=5/2 fractional quantum Hall state as the archetype of a non-Abelian topological state enabling fault-tolerant quantum computation.
Journal ArticleDOI
The physics of dipolar bosonic quantum gases
Thierry Lahaye,Thierry Lahaye,Thierry Lahaye,C. Menotti,Luis Santos,Maciej Lewenstein,Tilman Pfau +6 more
TL;DR: In this paper, a review of the recent theoretical and experimental advances in the study of ultra-cold gases made of bosonic particles interacting via the long-range, anisotropic dipole-dipole interaction, in addition to the short-range and isotropic contact interaction usually at work in ultracold gases is presented.
Journal ArticleDOI
Topological superconductors: a review
Masatoshi Sato,Yoichi Ando +1 more
TL;DR: In this paper, the relation between topological superconductivity and Majorana fermions is explained, and the difference between dispersive Majorana Fermions and a localized Majorana zero mode is emphasized.
Journal ArticleDOI
Majorana fermions in a tunable semiconductor device
TL;DR: In this article, a topological superconducting phase supporting Majorana fermions can be realized using surprisingly conventional building blocks: a semiconductor quantum well coupled to an s-wave superconductor and a ferromagnetic insulator.
References
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Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Book
The Superfluid Phases Of Helium 3
TL;DR: A comprehensive treatment of the theory of superfluid helium-3 is presented in this article, where the generalized BCS pairing theory and the experimental properties of the superconductivity of heavy-electron metals and superfluidity of neutron star interiors are discussed.
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