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.

5 pages, 4 figures

References in corpus (4)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement
• Monogamy equalities for qubit entanglement from Lorentz invariance
• SLOCC Convertibility between Two-Qubit States

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• Bridging Coherence Optics and Classical Mechanics -- A Universal Light Polarization-Entanglement Complementary Relation
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