dorsal/arxiv
View SchemaEntanglement of Formation of Rotationally Symmetric States
| Authors | Kiran K. Manne, Carlton M. Caves |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506151 |
| URL | https://arxiv.org/abs/quant-ph/0506151 |
Abstract
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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"abstract": "Computing the entanglement of formation of a bipartite state is generally\ndifficult, but special symmetries of a state can simplify the problem. For\ninstance, this allows one to determine the entanglement of formation of Werner\nstates and isotropic states. We consider a slightly more general class of\nstates, rotationally symmetric states, also known as SU(2)-invariant states.\nThese states are invariant under global rotations of both subsystems, and one\ncan examine entanglement in cases where the subsystems have different\ndimensions. We derive an analytic expression for the entanglement of formation\nof rotationally symmetric states of a spin-$j$ particle and a spin-${1\\over2}$\nparticle. We also give expressions for the I-concurrence, I-tangle, and\nconvex-roof-extended negativity.",
"arxiv_id": "quant-ph/0506151",
"authors": [
"Kiran K. Manne",
"Carlton M. Caves"
],
"categories": [
"quant-ph"
],
"title": "Entanglement of Formation of Rotationally Symmetric States",
"url": "https://arxiv.org/abs/quant-ph/0506151"
},
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