We simulate the dynamics of braiding Majorana zero modes on an IBM Quantum computer. find native quantum gates introduce too much noise to observe braiding. Instead, we use Qiskit Pulse develop scaled two-qubit that better match unitary time evolution operator and enable us This work demonstrates computers can be used for simulation, highlights pulse-level control programming constitutes first ...

We compute liftings of the Nichols algebra of a Yetter-Drinfeld module of Cartan type B2 subject to the small restriction that the diagonal elements of the braiding matrix are primitive nth roots of 1 with odd n 6= 5. As well, we compute the liftings of a Nichols algebra of Cartan type A2 if the diagonal elements of the braiding matrix are cube roots of 1; this case was not completely covered i...

We study de Rham cohomology for various differential calculi on finite groups G up to order 8. These include the permutation group S3, the dihedral group D4 and the quaternion group Q. Poincaré duality holds in every case, and under some assumptions (essentially the existence of a top form) we find that it must hold in general. A short review of the bicovariant (noncommutative) differential cal...

Due to the problems of potential corrosion and thermal expansion differences between traditional metal connecting pieces and carbon fiber poles, it is difficult for them to meet the operating requirements of truss structures in the environment of stratosphere. Based on the large scale composite space truss structure of stratosphere aerostats, the carbon fiber flange connection joints were studi...

We study de Rahm cohomology for various differential calculi on finite groups G up to order 8. These include the permutation group S3, the dihedral group D4 and the quaternion group Q. Poincaré duality holds in every case, and under some assumptions (essentially the existence of a top form) we find that it must hold in general. A short review of the bicovariant (noncommutative) differential cal...

Non-abelian anyons--particles whose exchange noncommutatively transforms a system's quantum state--are widely sought for the exotic fundamental physics they harbour and for quantum computing applications. Numerous blueprints now exist for stabilizing the simplest type of non-anyon, defects binding Majorana modes, by interfacing widely available materials. Here we introduce a device fabricated f...

The set of all Pareto optimal, strategy proof and non-bossy mechanisms is characterized as the set of trading and braiding mechanisms. Fix a matching problem with more than three houses and a profile of preferences. At the start of a trading and braiding mechanism at most one house is brokered; all other houses are owned. In the first trading round, owners point to their most preferred houses, ...

Introduction Controversy surrounds reconstruction of the anterior cruciate ligament (ACL) with regards to graft choice and fixation. Most surgeons performing ACL reconstruction use an intra-articular autogenous graft from either the patellar tendon or hamstrings. It has been suggested that hamstring tendon grafts are weaker than patellar tendon grafts, although there is conflicting data where m...

We consider the braiding of Kramers pairs of Majorana bound states. We derive the most general transformation on the many-body ground state that is applied as the result of such a braiding process. The result is derived in the context of a toy model, but we will show that it has the most general form that is compatible with local and global conservation of electron parity. In accordance with ea...