Entanglement of formation and monogamy of multi-party quantum entanglement

• URL: http://arxiv.org/abs/2101.05590v1
• Date: Thu, 14 Jan 2021 13:49:58 GMT
• Title: Entanglement of formation and monogamy of multi-party quantum entanglement
• Abstract summary: We show the additivity of the mutual information of the ccq states guarantees the monogamy inequality of the three-party pure state in terms of EoF. We generalize our result of three-party systems into any multi-party systems of arbitrary dimensions.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We provide a sufficient condition for the monogamy inequality of multi-party quantum entanglement of arbitrary dimensions in terms of entanglement of formation. Based on the classical-classical-quantum(ccq) states whose quantum parts are obtained from the two-party reduced density matrices of a three-party quantum state, we show the additivity of the mutual information of the ccq states guarantees the monogamy inequality of the three-party pure state in terms of EoF. After illustrating the result with some examples, we generalize our result of three-party systems into any multi-party systems of arbitrary dimensions.

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