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Violation of monogamy inequality for higher-dimensional objects

Yong-Cheng Ou
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Abstract

Bipartite quantum entanglement for qutrits and higher-dimensional objects is considered. We analyze the possibility of violation of monogamy inequality, introduced by Coffman, Kundu, and Wootters, for some systems composed of such objects. An explicit counterexample with a three-qutrit totally antisymmetric state is presented. Since three-tangle has been confirmed to be a natural measure of entanglement for qubit systems, our result shows that the three-tangle is no longer a legitimate measure of entanglement for states with three qutrits or higher dimensional objects.

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Yong-Cheng Ou. 2006-12-15. Violation of monogamy inequality for higher-dimensional objects. https://doi.org/10.1103/physreva.75.034305

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