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arXiv · 0903.4413

Polygamy of Distributed Entanglement

Francesco Buscemi·Gilad Gour·Jeong San Kim
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Abstract

While quantum entanglement is known to be monogamous (i.e. shared entanglement is restricted in multi-partite settings), here we show that distributed entanglement (or the potential for entanglement) is by nature polygamous. By establishing the concept of one-way unlocalizable entanglement (UE) and investigating its properties, we provide a polygamy inequality of distributed entanglement in tripartite quantum systems of arbitrary dimension. We also provide a polygamy inequality in multi-qubit systems, and several trade offs between UE and other correlation measures.

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Francesco Buscemi, Gilad Gour, Jeong San Kim. 2009-03-26. Polygamy of Distributed Entanglement. https://doi.org/10.1103/physreva.80.012324

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