Studies of animal tendons have not yielded clear conclusions about how graft configuration affects stiffness and strength. A recent study of sheep tendons [1] showed that two different braiding techniques reduced failure load by 47% and 57%, respectively, from the parallel strand configuration. Braiding reduced stiffness by 82% and 85%. In a study of calves’ tendons [2], braiding and twisting d...

It is the intent of this manuscript to provide a general treatment of braiding: past, present, and future. A history and evolution of braiding, braiding machinery, and related engineering developments is provided with emphasis on the design, manufacture, and analysis of braided fabrics and composites. Some recent developments are briefly described, including: 1. a composite braider with axial y...

While it is well known that three dimensional quantum many-body systems can support nontrivial braiding statistics between particlelike and looplike excitations, or between two looplike excitations, we argue that a more fundamental quantity is the statistical phase associated with braiding one loop α around another loop β, while both are linked to a third loop γ. We study this three-loop braidi...

Topological quantum information processing relies on adiabatic braiding of nonabelian quasiparticles. Performing the braiding operations in finite time introduces transitions out of the ground-state manifold and deviations from the nonabelian Berry phase. We show that these errors can be eliminated by suitably designed counterdiabatic correction terms in the Hamiltonian. We implement the result...

Important developments in fault-tolerant quantum computation using the braiding of anyons have placed the theory of braid groups at the very foundation of topological quantum computing. Furthermore, the realization by Kauffman and Lomonaco that a specific braiding operator from the solution of the Yang-Baxter equation, namely the Bell matrix, is universal implies that in principle all quantum g...

It is fundamental to view unitary braiding operators describing topological entangle-ments as universal quantum gates for quantum computation. This paper derives a unitary solution of the quantum Yang–Baxter equation via Yang–Baxterization and constructs the Hamiltonian responsible for the time-evolution of the unitary braiding operator.

in this research, a braiding-pultrusion production line is developed by modifying a conventional textile maypole braiding machine and adding it to a pultrusion line for production of braid-pultruded (bp) composite rods. in order to evaluate the mechanical properties of bp rods and study the effect of some braiding parameters, they were produced with different braid roving linear densities and b...

A singular parent-support program is limited in its ability to address multiple child and family needs. One innovative solution is braiding, a process in which two evidence-based programs are systematically combined as a newly tailored, cohesive curriculum. In this paper we describe the systematic braiding of two parent-support curricula, Parents as Teachers ® and SafeCare ® . We highlight impl...

This paper studies the use of braiding fluid particles to quantify the amount of mixing within a fluid flow. We analyze the pros and cons of braid methods by considering the motion of three or more fluid particles in a coherent vortex structure. The relative motions of the particles, as seen in a space–time diagram, produces a braid pattern, which is correlated with mixing and measured by the b...

We give a full classification of all braided semisimple tensor categories whose Grothendieck semiring is the one of Rep ( O(∞) ) (formally), Rep ( O(N) ) , Rep ( Sp(N) ) , or of one of its associated fusion categories. If the braiding is not symmetric, they are completely determined by the eigenvalues of a certain braiding morphism, and we determine precisely which values can occur in the vario...