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.

5 pages, 2 figures

References in corpus (4)

• Entanglement versus Correlations in Spin Systems
• Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Measuring Multipartite Concurrence with a Single Factorizable Observable

Cited by in corpus (13)

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• Multipartite quantum correlation and entanglement in four-qubit pure states
• Multipartite entanglement in four-qubit cluster-class states
• Multiqubit entanglement witness
• Entanglement in a class of multiqubit mixed states without multipartite tangles
• Enhancing robustness of multiparty quantum correlations using weak measurement
• Compatibility conditions from multipartite entanglement measures
• Monogamy Inequality and Residual Entanglement of Three Qubits under Decoherence
• 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