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-...
Thouless pumping enables topological transport and the direct measurement of topological invariants. So far, realizations of Thouless pumping rely on the adiabatic evolution of a physical system following a non-degenerate band, but it has been predicted
Here, we conceive and demonstrate shortcut to adiabatic (STA) braiding of light in three-dimensional silicon photonic chips. Our device comprises trilayer silicon waveguides embedded in the SU-8 polymer, using an STA strategy to expedite the braiding operations, resulting in compact devices that ...