Entanglement sharing protocols

Entanglement sharing schemes are important as a tool for secure quantum communication in a network where some subsets of players are authorized to access the transmitted quantum information and other subsets must be denied any quantum information. We conjecture that every stabilizer error correcting code is an entanglement sharing scheme. We test this conjecture with known codes including Shor's 9-qubit code, Steane's 7-qubit code and the 5-qubit code. If our conjecture is true, then we can use existing stabilizer error correcting codes as candidates for entanglement sharing rather than having to construct entanglement sharing schemes ab initio.