Coding Theoretic Construction of Quantum Ramp Secret Sharing
  We show a construction of a quantum ramp secret sharing scheme from a nested pair of linear codes. Necessary and sufficient conditions for qualified sets and forbidden sets are given in terms of combinatorial properties of nested linear codes. An algebraic geometric construction for quantum secret sharing is also given. 
Ryutaroh Matsumoto
cs.IT math.AG math.CO math.IT quant-ph