Violation of monogamy inequality for higher-dimensional objects

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.

2.5 pages,minor modifications are made

References in corpus (5)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Quantum Phase Transitions and Bipartite Entanglement
• Concurrence of arbitrary dimensional bipartite quantum states
• Multipartite Entanglement Measure
• Information-Theoretic Measure of Genuine Multi-Qubit Entanglement

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