Here, we construct ideal acoustic metamaterials to realize non-abelian braiding with the fewest band nodes. By emulating the time with a sequence of acoustic samples, we experimentally observe an elegant but nontrivial nodal braiding process, including nodes creation, braiding, collision, and ...
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 no...
doi:10.1103/PhysRevB.88.180402He, Yin-ChenChen, YanPhysical Review BYin-Chen He and Yan Chen, Measuring fermions qubit state and non-Abelian braiding statistics in quenched inhomogeneous spin ladders, arXiv: 1210.5139 (2013).
We analyze a system composed by four anyons whose couplings define a T junction, and we show that the braiding operator of two of them can be obtained through a particular adiabatic cycle in the space of the coupling parameters. We also discuss how to couple this scheme with anyonic chains ...
The unitary gate operations which are necessary for quantum computation are carried out by braiding quasiparticles, and then measuring the multi-quasiparticle states. The fault-tolerance of a topological quantum computer arises from the non-local encoding of the states of the quasiparticles, which ...
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 magnetic texture control [1-4]. Our proposals to identify non-Abelian statistics are supported by dynamical simulations and experimental ...
The Pfaffian state is an attractive candidate for the observed quantized Hall plateau at a Landau-level filling fraction nu=5/2. This is particularly intriguing because this state has unusual topological properties, including quasiparticle excitations with non-Abelian braiding statistics. In order to de...
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 hyperbolic metamaterial. The linked nodal lines threading through ...
Abelian(non-Abelian)statistics.Physicallybraidingex- citationsintypeIandtypeIItopologicalmattermod- ifiesthemany-bodywavefunctionbyaphaseandnon- trivialmatrix,respectively.Braidingnon-Abelianquasi- particlesmayenablefault-toleranttopologicalquantum computation 1,2 ,reducingstringentquantumerrorcorrec- tionprocedures...