Monogamy inequality of entanglement of pure tripartite qudit states

• URL: http://arxiv.org/abs/2204.13649v2
• Date: Mon, 12 Jun 2023 18:28:00 GMT
• Title: Monogamy inequality of entanglement of pure tripartite qudit states
• Authors: Sumit Nandi, A. S. Majumdar
• Abstract summary: We analytically establish an inequality analogous to the Coffman-Kundu-Wootters inequality. It is shown that the shared entanglement of the subsystems of a pure tripartite qudit state always satisfy a monogamy constraint.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We analytically establish an inequality analogous to the Coffman-Kundu-Wootters inequality, which succinctly describes monogamy of entanglement in $\mathbb{C}^d\otimes \mathbb{C}^d\otimes \mathbb{C}^d$ dimensional pure states. The derivation of this inequality is based on the G-concurrence \cite{gour2} measure of entanglement. It is shown that the shared entanglement of the subsystems of a pure tripartite qudit state always satisfy a monogamy constraint.

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