Hypergraph states in Grover's quantum search algorithm
  We study the entanglement content of the states employed in the Grover algorithm after the first oracle call when a few searched items are concerned. We then construct a link between these initial states and hypergraphs, which provides an illustration of their entanglement properties. 
M. Rossi, D. Bru{\ss}, C. Macchiavello
quant-ph