  We propose a near-term quantum simulator based on the fluxonium qubits
inductively coupled to form a chain. This system provides long coherence time,
large anharmonicity, and strong coupling, making it suitable to study Ising
spin models. At the half-flux quantum sweet spot, the system is described by
the transverse field Ising model (TFIM). We evaluate the propagation of qubit
excitations through the system. As disorder increases, the excitations become
localized. A single qubit measurement using the circuit QED methods is
sufficient to identify localization transition without introducing tunable
couplers. We argue that inductively coupled fluxoniums provide opportunities to
study localization and many-body effects in highly coherent quantum systems.
