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Family of analytic entanglement monotones

A. Delgado·T. Tessier
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Abstract

We derive a family of entanglement monotones, one member of which turns out to be the negativity. Two others are shown to be lower bounds on the I-concurrence, and on the I-tangle, respectively [P. Rungta and C. M. Caves, to appear in Phys. Rev. A]. We compare these bounds with the I-concurrence and I-tangle on the isotropic states, and on rank-two density operators resulting from a Tavis-Cummings interaction. Our results provide a global structure relating several different entanglement measures. Additionally, they possess analytic forms which are easily evaluated in the most general cases.

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A. Delgado, T. Tessier. 2002-11-05. Family of analytic entanglement monotones. https://arxiv.org/abs/quant-ph/0210153

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