An entanglement measure for n qubits

作者:Li Dafa*; Li Xiangrong; Huang Hongtao; Li Xinxin
来源:Journal of Mathematical Physics, 2009, 50(1): 012104.
DOI:10.1063/1.3050298

摘要

Coffman [Phys. Rev. A 61, 052306 (2000)] introduced the residual entanglement for three qubits. In this paper, we present the entanglement measure tau(psi) for even n qubits; for odd n qubits, we propose the residual entanglement tau((i))(psi) with respect to qubit i and the odd n-tangle R(psi) by averaging the residual entanglement with respect to each qubit. In this paper, we show that these measures are LU-invariant, entanglement monotones, invariant under permutations of the qubits, and multiplicative in some cases.