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Certain non-uniformly coupled spin chains can exhibit perfect transfer ofquantum states from end to end. Motivated by recent experimentalimplementations, we extend the simplest such chain to next-to-nearest neighbour(NNN) couplings. It is shown analytically that perfect state transfer can bemaintained under the extension and that end-to-end entanglement generation(fractional revival) can occur.

Analytic next-to-nearest neighbour XX models with perfect state transfer and fractional revival