Geometric and holonomic quantum computation utilizes intrinsic geometric properties of
quantum-mechanical state spaces to realize quantum logic gates. Since both geometric …

Thouless pump provides robust ways to realize quantized transport of waves and particles,
and it casts the static 2D quantum Hall effect onto 1D dynamic systems where one of the …

Non-Abelian gauge fields give rise to nontrivial topological physics. Here we develop a
scheme to create an arbitrary SU (2) lattice gauge field for photons in the synthetic frequency …

Topological phases associated with non-Abelian charges can exhibit a distinguished bulk-
edge correspondence compared with Abelian phases, although elucidating this relationship …

Surface currents arise in superconductors under magnetic fields and are a key signature of
the Meissner effect. Similarly, chiral dynamics have been observed in quantum simulators …

Physical quantum systems are commonly composed of more than two levels and offer the
capacity to encode information in higher-dimensional spaces beyond the qubit, starting with …

Non-Abelian gauge field plays a central role in understanding the geometrical and
topological phenomena in physics. Here we experimentally induce a non-Abelian gauge …

Topology played an important role in physics research during the last few decades. In
particular, the quantum geometric tensor that provides local information about topological …

Holonomic quantum computing functions by transporting an adiabatically degenerate
manifold of computational states around a closed loop in a control-parameter space; this …

The braiding operations of quantum states have attracted substantial attention due to their
great potential for realizing topological quantum computations. In this paper, we show that a …