Tripartite entanglement shaping in stabilizer formalism

Efficiently distributing and manipulating entanglement is essential in the construction of large scale quantum networks. In this project, we focus on tripartite entanglement structure of stabilizer state and its transformation through local operations. Suppose the tripartite entangled state ρ^ABC is hold by Alice, Bob and Charlie, respectively. An interesting question to ask is whether it is possible to transfer all the A|BC entanglement to system A and B by Charlie's local operation and classical communication to Alice and Bob, namely entanglement shaping. We call the possibility of disentangling C from AB as "the bigger man principle" when the entanglement E(A|B) equals E(A|BC) upon the operation. This study contributes to the understanding of stabilizer state entanglement and can serve as a guiding principle in quantum network.