Multipartite quantum correlation and entanglement in four-qubit pure states

2007/03/31 by Yan-Kui Bai, Dong Yang, Z. D. Wang
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Complementarity (molecular biology) #Correlation #Mathematics #Multipartite #Multipartite entanglement #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Qubit #Residual #Squashed entanglement #Statistical physics #W state #quant-ph

paper · pdf · doi:10.1103/physreva.76.022336

published as Phys. Rev. A 76, 022336 (2007) · 7 pages, 3 figues

openalex publication_date 2007/08/31 · arxiv created 2007/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Based on the quantitative complementarity relations, we analyze thoroughly the properties of multipartite quantum correlation and entanglement in four-qubit pure states. It is found that, unlike the three-qubit case, the single residual correlation and the genuine correlations of three and four qubits are unable to quantify entanglement appropriately. More interestingly, from our qualitative and numerical analysis, it is conjectured that the sum of all residual correlations is a good quantity for characterizing the multipartite entanglement in the system.

Citations

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