Non-Abelian braiding has attracted substantial attention because of its pivotal role in describing the exchange behaviour of anyons—candidates for realizing quantum logics. The input and outcome of non-Abelian braiding are connected by a unitary matrix that can also physically emerge as a geometric-...
Non-Abelian braiding is regarded as an essential process for realizing quantum logic. Its realizations in quantum systems often rely on the dynamic winding of anyons, which can be challenging to obtain. Implementing braiding in a classical system could, therefore, assist the experimental study of n...
With braiding simulated numerically as nonequilibrium quench processes, we verify that the MFs in our spin ladder model obey non-Abelian braiding statistics. Our scheme provides a promising platform to study exotic properties of MFs and a broad range of applications in topological quantum computation....
R. Akhmerov, Braiding of non-Abelian anyons using pairwise interactions, Phys. Rev. A 87, 022343 (2013), doi:10.1103/PhysRevA.87.022343.M. Burrello, B. van Heck and A. R. Akhmerov, Braiding of non-Abelian anyons using pair- wise interactions, Phys. Rev. A 87, 022343 (2013), ...
The proposal relies on the existence of topological states of matter whose quasiparticle excitations are neither bosons nor fermions, but are particles known as {it Non-Abelian anyons}, meaning that they obey {it non-Abelian braiding statistics}. Quantum information is stored in states with ...
However, despite intensive efforts, experimental evidence for MZM remains indirect and does not probe their crucial non-Abelian statistics. In this talk, I will reveal how we demonstrate MZM non-Abelian statistics through fusion and braiding in planar Josephson Junctions (JJs) with gate, phase, or...
This is particularly intriguing because this state has unusual topological properties, including quasiparticle excitations with non-Abelian braiding statistics. In order to determine the nature of the nu=5/2 state, one must measure the quasiparticle braiding statistics. Here, we propose an experiment ...
non-Abelian band topology was proposed in nodal link systems, where the nodal lines formed by consecutive pairs of bands exhibit interesting braiding structures and the underlying topological charges are described by quaternions. Here, we experimentally demonstrate non-Abelian nodal links in a biaxial ...
Abelian(non-Abelian)statistics.Physicallybraidingex- citationsintypeIandtypeIItopologicalmattermod- ifiesthemany-bodywavefunctionbyaphaseandnon- trivialmatrix,respectively.Braidingnon-Abelianquasi- particlesmayenablefault-toleranttopologicalquantum computation 1,2 ,reducingstringentquantumerrorcorrec- tionprocedures...