  We present a quantum-classical algorithm to study the dynamics of the
Rohksar-Kivelson plaquette ladder on NISQ devices. We show that complexity is
largely reduced using gauge invariance, additional symmetries, and a crucial
property associated to how plaquettes are blocked against ring-exchange in the
ladder geometry. This allows for an efficient simulation of sizable plaquette
ladders with a small number of qubits, well suited for the capabilities of
present NISQ devices. We illustrate the procedure for ladders with simulation
of up to $8$ plaquettes in an IBM-Q machine, employing scaled quantum gates.
