Twist defects and projective non-Abelian braiding statistics
نویسندگان
چکیده
منابع مشابه
Projective non-Abelian statistics of dislocation defects in a Z[subscript N] rotor model
statistics of dislocation defects in a Z[subscript N] rotor model. " Physical Review B 86.16 (2012). Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Non-Abelian st...
متن کاملNon-Abelian vortices and non-Abelian statistics.
We study the interactions of non-abelian vortices in two spatial dimensions. These interactions have novel features, because the Aharonov-Bohm effect enables a pair of vortices to exchange quantum numbers. The cross section for vortex-vortex scattering is typically a multi-valued function of the scattering angle. There can be an exchange contribution to the vortex-vortex scattering amplitude th...
متن کاملDemonstrating non-Abelian braiding of surface code defects in a five quit experiment
Currently, themainstream approach to quantum computing is through surface codes. Oneway to store andmanipulate quantum informationwith these to create defects in the codeswhich can be moved and used as if theywere particles. Specifically, they simulate the behaviour of exotic particles known asMajoranas, which are a kind of non-Abelian anyon. By exchanging these particles, important gates for q...
متن کاملNon-abelian statistics from an abelian model
It is well known that the abelian Z2 anyonic model (toric code) can be realized on a highly entangled two-dimensional spin lattice, where the anyons are quasiparticles located at the endpoints of string-like concatenations of Pauli operators. Here we show that the same entangled states of the same lattice are capable of supporting the non-abelian Ising model, where the concatenated operators ar...
متن کاملNon–abelian Reidemeister Torsion for Twist Knots
Twist knots form a family of special two–bridge knots which include the trefoil knot and the figure eight knot. The knot group of a two–bridge knot has a particularly nice presentation with only two generators and a single relation. One could find our interest in this family of knots in the following facts: first, twist knots except the trefoil knot are hyperbolic; and second, twist knots are n...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review B
سال: 2013
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.87.045130