  We propose a superconducting circuit architecture suitable for digital-analog
quantum computing (DAQC) based on an enhanced NISQ family of nearest-neighbor
interactions. DAQC makes a smart use of digital steps (single qubit rotations)
and analog blocks (parametrized multiqubit operations) to outperform digital
quantum computing algorithms. Our design comprises a chain of superconducting
charge qubits coupled by superconducting quantum interference devices (SQUIDs).
Using magnetic flux control, we can activate/deactivate exchange interactions,
double excitation/de-excitations, and others. As a paradigmatic example, we
present an efficient simulation of an $\ell\times h$ fermion lattice (with
$2<\ell \leq h$), using only $2(2\ell+1)^2+24$ analog blocks. The proposed
architecture design is feasible in current experimental setups for quantum
computing with superconducting circuits, opening the door to useful quantum
advantage with fewer resources.

Quantum Physics;Superconductivity