Analytic next-to-nearest neighbour XX models with perfect state transfer   and fractional revival
  Certain non-uniformly coupled spin chains can exhibit perfect transfer of quantum states from end to end. Motivated by recent experimental implementations, we extend the simplest such chain to next-to-nearest neighbour (NNN) couplings. It is shown analytically that perfect state transfer can be maintained under the extension and that end-to-end entanglement generation (fractional revival) can occur. 
Matthias Christandl, Luc Vinet, Alexei Zhedanov
quant-ph