Entanglement of Formation of Rotationally Symmetric States

Details Entanglement of Formation of Rotationally Symmetric States Entanglement of Formation of Rotationally Symmetric States

2005-06-17

arxiv.org/abs/quant-ph/0506151v2

Physics

Quantum Physics

15 pages, 2 figures; slight change in introduction, additional references

Scientific paper

Computing the entanglement of formation of a bipartite state is generally difficult, but special symmetries of a state can simplify the problem. For instance, this allows one to determine the entanglement of formation of Werner states and isotropic states. We consider a slightly more general class of states, rotationally symmetric states, also known as SU(2)-invariant states. These states are invariant under global rotations of both subsystems, and one can examine entanglement in cases where the subsystems have different dimensions. We derive an analytic expression for the entanglement of formation of rotationally symmetric states of a spin-$j$ particle and a spin-${1\over2}$ particle. We also give expressions for the I-concurrence, I-tangle, and convex-roof-extended negativity.

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