Braiding is a highly automated process for manufacturing preforms directly from reinforcement yarns at large production volumes. The quality of braided textiles and the stability can however be negatively affected by defects that occur during braiding. If such detected fine anomalies early their formation, interrupted countermeasures introduced before defect aggravates gets into product. Curren...

_ ----------____-_.__________.__..____._... Introduction.-.._._..___.__.___...'_.._.._.___...___ Pleistocene and Recent deposits .......L.............. North Loup River valley near Elba._____._..___._ North Loup River valley near Burwell..__.__._.__ North Loup River valley downstream from Brewster. North Loup River valley upstream from Brewster... South Loup River valley near Cumro. ___________...

This paper attempts to establish the connection among classifications of gapped boundaries in topological phases of matter, bosonic symmetry-protected topological (SPT) phases and faulttolerantly implementable logical gates in quantum error-correcting codes. We begin by presenting constructions of gapped boundaries for the d-dimensional quantum double model by using d-cocycles functions (d ≥ 2)...

In a topological quantum computer, universal quantum computation is performed by dragging quasiparticle excitations of certain two dimensional systems around each other to form braids of their world lines in 2 + 1 dimensional space-time. In this Letter we show that any such quantum computation that can be done by braiding n identical quasiparticles can also be done by moving a single quasiparti...

We formulate the Hopf algebra underlying the su(2|2) S-matrix relevant for the AdS/CFT correspondence, extending the one discovered by Janik in the su(1|2) sector to the full algebra, by specifying the action of the coproduct and the antipode on the remaining generators. The nontriviality of the coproduct is determined by the lenght-changing effect, and results in an unusual central braiding. W...

Attention is focused on quantum spaces of physical importance, i.e. Manin plane, q-deformed Euclidean space in three or four dimensions as well as q-deformed Minkowski space. There are algebra isomorphisms that allow to identify quantum spaces with commutative coordinate algebras. This observation enables the realization of braiding mappings on commutative algebras. The aim of the article is to...

In a vertex algebra setting, we consider non-local screening operators associated to the basis of any non-integral lattice. We have previously shown that, under certain restrictions, these satisfy relations quantum shuffle or Nichols diagonal braiding, which encodes non-locality and non-integrality. present article, take all finite-dimensional algebras, as classified by Heckenberger, find latti...

I define models of quantum loops and nets that have ground states with topological order. These make possible excited states comprised of deconfined anyons with non-abelian braiding. With the appropriate inner product, these quantum loop models are equivalent to net models whose topological weight involves the chromatic polynomial. A simple Hamiltonian preserving the topological order is found ...

We find a Jacobi identity for intertwining operator algebras. Most of the main properties of genus-zero conformal field theories, including the main properties of vertex operator algebras, modules, intertwining operators, Verlinde algebras, and fusing and braiding matrices, are incorporated into this identity. We prove that intertwining operators for a suitable vertex operator algebra satisfy t...