I-concurrence and tangle for isotropic states

Details I-concurrence and tangle for isotropic states I-concurrence and tangle for isotropic states

2002-07-31

arxiv.org/abs/quant-ph/0208002v1

Physics

Quantum Physics

15 pages, 5 figures

Scientific paper

We discuss properties of entanglement measures called I-concurrence and tangle. For a bipartite pure state, I-concurrence and tangle are simply related to the purity of the marginal density operators. The I-concurrence (tangle) of a bipartite mixed state is the minimum average I-concurrence (tangle) of ensemble decompositions of pure states of the joint density operator. Terhal and Vollbrecht [Phys. Rev. Lett. 85, 2625 (2000)] have given an explicit formula for the entanglement of formation of isotropic states in arbitrary dimensions. We use their formalism to derive comparable expressions for the I-concurrence and tangle of isotropic states.

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