A rigorous explanation of a phenomenon that produces significant distortions in the three-dimensional images produced by integral imaging systems is provided. The phenomenon, which we refer to as the facet-braiding effect, has been recognized in some previous publications, but to our knowledge its nature has never been analyzed. We propose a technique for attenuating the facet-braiding effect. ...

Magnetic helicity has become a valuable tool for understanding the energetics and dynamics of coronal magnetic fields. Recently long time-sequences of magnetograms have been used to measure the flux of helicity into active region coronae. We demonstrate how this helicity flux can be usefully decomposed into contributions of differing origin, called spin helicity and braiding helicity. These con...

A topological quantum computer should allow intrinsically fault-tolerant quantum computation, but there remains uncertainty about how such a computer can be implemented. It is known that topological quantum computation can be implemented with limited quasiparticle braiding capabilities, in fact using only a single mobile quasiparticle, if the system can be properly initialized by measurements. ...

BACKGROUND Anterior cruciate ligament reconstruction is commonly performed with autogenous hamstring tendon grafts. PURPOSE To ascertain the effects of braiding on ultimate tensile strength and stiffness of hamstring tendon graft. STUDY DESIGN Controlled laboratory study. METHODS Sixteen fresh-frozen semitendinosus and gracilis tendons were harvested from eight matched (right and left) hu...

It is fundamental to view unitary braiding operators describing topological entanglements as universal quantum gates for quantum computation. This paper derives the unitary solution of the Quantum Yang–Baxter equation via Yang–Baxterization and constructs the Hamiltonian responsible for the timeevolution of the unitary braiding operator.

In this paper we describe connections among extraspecial 2-groups, unitary representations of the braid group and multi-qubit braiding quantum gates. We first construct new representations of extraspecial 2-groups. Extending the latter by the symmetric group, we construct new unitary braid representations, which are solutions to generalized Yang-Baxter equations and use them to realize new brai...

Fourier transform is an essential ingredient in Shor’s factoring algorithm. In the standard quantum circuit model with the gate set U 2 , controlled-NOT , the discrete Fourier transforms FN= ij N N, i , j=0,1 ,... ,N −1, =e2 i/N, can be realized exactly by quantum circuits of size O n2 , n=ln N, and so can the discrete sine or cosine transforms. In topological quantum computing, the simplest un...

It is shown that every quantum principal bundle is braided, in the sense that there exists an intrinsic braid operator twisting the functions on the bundle. A detailed algebraic analysis of this operator is performed. In particular, it turns out that the braiding admits a natural extension to the level of arbitrary differential forms on the bundle. Applications of the formalism to the study of ...

We investigate themeasurement-only topological quantum computation (MOTQC) approach proposed by Bonderson et al (2008 Phys. Rev. Lett. 101 010501)where the braiding operation is shown to be equivalent to a series of topological charge ‘forcedmeasurements’ of anyons. In a forced measurement, the chargemeasurement is forced to yield the desired outcome (e.g. charge 0) via repeatedlymeasuring char...