Switching and partially switching the hypercube while maintaining perfect state transfer. (arXiv:1802.01531v1 [math.CO])

We perform Godsil-McKay switching on the hypercube to create graphs that
maintain many of the same properties of the hypercube. In particular, these
switched and partially switched perturbations of the $n$-cube exhibit perfect
state transfer (PST, a desirable property in quantum information theory)
between certain pairs of vertices. We also consider convex combinations of
graphs with PST, as well as switched systems of the aforementioned graphs. We
analyse which pairs of vertices retain PST after the perturbations, and show
that the sensitivity with respect to readout time errors remains unaffected for
some pairs of vertices.

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