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arXiv · 1401.5843

Disentangling Theorem and Monogamy for Entanglement Negativity

Huan He·Guifre Vidal
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Abstract

Entanglement negativity is a measure of mixed-state entanglement increasingly used to investigate and characterize emerging quantum many-body phenomena, including quantum criticality and topological order. We present two results for the entanglement negativity: a disentangling theorem, which allows the use of this entanglement measure as a means to detect whether a wave-function of three subsystems $A$, $B$, and $C$ factorizes into a product state for parts $AB_1$ and $B_2C$; and a monogamy relation, which states that if $A$ is very entangled with $B$, then $A$ cannot be simultaneaously very entangled also with $C$.

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Huan He, Guifre Vidal. 2014-01-24. Disentangling Theorem and Monogamy for Entanglement Negativity. https://doi.org/10.1103/physreva.91.012339

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