Supplementary Information Quantum simulation via filtered Hamiltonian engineering: application to perfect quantum transport in spin networks

An important ingredient of any Hamiltonian engineering scheme is the ability to obtain the Hamiltonian operator form desired, before engineering the coupling strengths. Nuclear Magnetic Resonance has a long tradition of control sequences able to modify the naturally occurring Hamiltonians into desired operators; the most prominent application is in the refocusing of unwanted interactions, which has been further developed and is now a common technique in quantum information under the name of “dynamical decoupling” [1]. Here we briefly review these decoupling sequences and extend them to more general two-body Hamiltonians as well as to the task of creating a desired operator. We consider a general Hamiltonian for 2 spin12 particles: H = ~ ω1 · ~σ1 + ~ ω2 · ~σ2 + ~σ1 · d · ~σ2, (1)