Multiple Entropy Measures for Multi-particle Pure Quantum State

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2010 Chinese Physical Society and IOP Publishing Ltd
, , Citation Liu Dan et al 2010 Commun. Theor. Phys. 54 825 DOI 10.1088/0253-6102/54/5/09

0253-6102/54/5/825

Abstract

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: [S1, S2, ..., Sm], and the i-th component Si is the geometric mean of i-qubits partial entropy of the system. The Si 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.

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10.1088/0253-6102/54/5/09