Results 21 to 30 of about 11,135 (207)
A Short Introduction to Topological Quantum Computation
This review presents an entry-level introduction to topological quantum computation -- quantum computing with anyons. We introduce anyons at the system-independent level of anyon models and discuss the key concepts of protected fusion spaces and ...
Ville Lahtinen, Jiannis K. Pachos
doaj +1 more source
A proposal to demonstrate non-abelian anyons on a NISQ device [PDF]
In this work we present a proposal for realising non-Abelian anyons on a NISQ device. In particular we explore the feasibility of implementing the quantum double model $D(D_4)$.
Jovan Jovanović +3 more
doaj +1 more source
Finite-size anyons and perturbation theory [PDF]
We address the problem of finite-size anyons, i.e., composites of charges and finite radius magnetic flux tubes. Making perturbative calculations in this problem meets certain difficulties reminiscent of those in the problem of pointlike anyons.
A. Comtet +25 more
core +2 more sources
The theory of anyon systems, as modular functors topologically and unitary modular tensor categories algebraically, is mature. To go beyond anyons, our first step is the interplay of anyons with conventional group symmetry due to the paramount importance of group symmetry in physics.
openaire +3 more sources
Anyons as spinning particles [PDF]
A model-independent formulation of anyons as spinning particles is presented. The general properties of the classical theory of (2+1)-dimensional relativistic fractional spin particles and some properties of their quantum theory are investigated.
Cortes, J. L., Plyushchay, M. S.
core +2 more sources
Anyons, quasiparticles living in two-dimensional spaces with exotic exchange statistics, can serve as the fundamental units for fault-tolerant quantum computation.
Annie Jihyun Park +3 more
doaj +1 more source
A Simple Decoder for Topological Codes
Here we study an efficient algorithm for decoding topological codes. It is a simple form of HDRG decoder, which could be straightforwardly generalized to complex decoding problems. Specific results are obtained for the planar code with both i.i.d.
James Wootton
doaj +1 more source
Summary: We describe some novel effects generated by the gravitational Chern-Simons term similar to those induced by its electromagnetic counterpart. In particular, a structureless particle source generates a gravimagnetic field. Conversely, it causes a spinning source to contribute to the static Newtonian potential, thereby violating the equivalence ...
openaire +3 more sources
A study of time reversal symmetry of abelian anyons
We perform a study of time reversal symmetry of abelian anyons A $$ \mathcal{A} $$ in 2+1 dimensions, in the spin structure independent cases. We will find the importance of the group C $$ \mathcal{C} $$ of time-reversal-symmetric anyons modulo anyons ...
Yasunori Lee, Yuji Tachikawa
doaj +1 more source
Bosons, fermions and anyons in the plane, and supersymmetry
Universal vector wave equations allowing for a unified description of anyons, and also of usual bosons and fermions in the plane are proposed. The existence of two essentially different types of anyons, based on unitary and also on non-unitary infinite ...
Alvarez +83 more
core +1 more source

