2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123657We discuss the possibility of engineering a Hamiltonian that can perfectly mirror a state of many excitations stored on a square lattice. In comparison to the well-studied case of a chain, there is potential for a speed-up of information transfer. However, we prove that in a large class of cases, perfect state mirroring on a square lattice is impossible.4 pages, 3 figuresQuantum Physicstext