Information-Theoretic Measure of Genuine Multi-Qubit Entanglement

Abstract

We consider pure quantum states of N qubits and study the genuine N-qubit entanglement that is shared among all the N qubits. We introduce an information-theoretic measure of genuine N-qubit entanglement based on bipartite partitions. When N is an even number, this measure is presented in a simple formula, which depends only on the purities of the partially reduced density matrices. It can be easily computed theoretically and measured experimentally. When N is an odd number, the measure can also be obtained in principle.

arXiv comment5 pages, 2 figures

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• Monogamy Inequality in terms of Negativity for Three-Qubit States
• Violation of monogamy inequality for higher-dimensional objects
• Entanglement detection beyond the cross-norm or realignment criterion
• Multipartite quantum correlation and entanglement in four-qubit pure states
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• Robustness of Entanglement as a Resource
• Efficient numerical method to calculate three-tangle of mixed states
• Multiqubit entanglement witness
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• Fidelity, entanglement, and information complementarity relation
• Invariant information and complementarity in high-dimensional states
• A Sharp Geometric Measure of Entanglement
• Fully multi-qubit entangled states