  The quest to realize novel phases of matter with topological order is an
important pursuit with implications for strongly correlated physics and quantum
information. Utilizing ideas from state-of-the-art coherent control of
artificial quantum systems such as superconducting circuits, we present a
proposal to realize bosonic fractional quantum Hall physics on small lattices
by creating nearly flat topological bands using staggered flux patterns.
Fingerprints of fractionalization through charge pumping can be observed with
nearly perfect quantization using as few as 24 lattice sites (two photons). We
suggest an implementation using a finite lattice of superconducting qubits with
cylindrical connectivity on both triangular and square lattices.
