Center-of-mass interpretation for bipartite purity analysis of $N$-party entanglement

Abstract

We provide a graphical description of the entanglement of pure-state multiparty systems based on an analogy between a bipartite purity analysis and the centroid of a collection of point masses. This description applies to quantum systems with $N$ parties, each with an arbitrary number of (discrete) states. The case of $N$ qubits is highlighted for simplicity. This geometric description illustrates some of the restrictions in the form of inequalities that apply to entanglement in multiparty systems.

arXiv comment5 pages, 4 figures

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• Intrinsic degree of coherence of classical and quantum states
• Bridging Coherence Optics and Classical Mechanics -- A Universal Light Polarization-Entanglement Complementary Relation
• Factorization dynamics between quantum Fisher information and quantum coherence
• The intrinsic relations of quantum resources in multiparticle systems
• Tetrahedron genuine entanglement measure of four-qubit systems