Multiple Entropy Measures for Multi-particle Pure Quantum State
Dan Liu, Xin Zhao, Gui‐Lu Long · Communications in Theoretical Physics · 2010
We propose to use a set of averaged entropies, the multiple entropy measures (MEMS), to partially quantify quantum entanglement of multipartite quantum state. The MEMS is vector-like with m = [N/2] components: [S 1 , S 2 , ..., S m ], and the i-th component S i is the geometric mean of i-qubits partial entropy of the system. The S i measures how strong an arbitrary i qubits from the system are correlated with the rest of the system. It satisfies the conditions for a good entanglement measure. We have analyzed the entanglement properties of the GHZ-state, the W-states, and cluster-states under MEMS.