Duality as a feasible physical transformation for quantum simulation

Duality transformations are very important in both classical and quantum physics. They allow one to relate two seemingly different formulations of the same physical realm through clever mathematical manipulations, offer numerous advantages for study many-body In this work, we suggest a method which introduces them world simulation too: feasible scheme implementing duality as operations, mapping between dual states showing observable physics, rather than just trick. Demonstrating with Abelian lattice models, show how could be implemented laboratory sequences single- two-body operations---unitaries measurements.