Multipartite entanglement spreads

arXiv:2610.12271 · math-ph, math.MP, quant-ph · Submitted 2026-10-08 · Read on arXiv

math-ph, math.MP, quant-ph

Submitted: 2026-10-08

Updated: 2026-10-08

Terminology

• Entanglement — 164× in this paper · explained in 4 episodes
• Trace — 68× in this paper · explained in 2 episodes
• Multipartite Entanglement — 29× in this paper · explained in 2 episodes
• Hypergraph — 25× in this paper · explained in 2 episodes
• Generalization — 12× in this paper · explained in 13 episodes
• Hilbert Space — 10× in this paper · explained in 2 episodes
• Local Operations — 5× in this paper
• Entanglement Entropy — 3× in this paper · explained in 2 episodes
• Degeneracy — 2× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Distillation — 1× in this paper · explained in 2 episodes
• Entanglement Distillation — 1× in this paper · explained in 2 episodes
• Local Operations and Classical Communication — 1× in this paper
• Symmetry Breaking — 1× in this paper · explained in 3 episodes

Sources

• Tensor invariants for multipartite entanglement classification
• Large $N$ factorization of families of tensor trace-invariants
• Random tensor models in the large N limit: Uncoloring the colored tensor models
• Free cumulants and freeness for unitarily invariant random tensors
• Understanding the interplay of entanglement and nonlocality: motivating and developing a new branch of entanglement theory
• An algebraically independent generating set of the algebra of local unitary invariants
• The algebra of local unitary invariants of identical particles
• Holographic entanglement negativity and replica symmetry breaking
• Fun with replicas: tripartitions in tensor networks and gravity
• A new multi-partite entanglement measure and its holographic dual
• Towards classification of holographic multi-partite entanglement measures
• Multi-entropy in random tensor networks
• Local qubit invariants on quantum computer
• Optimal entanglement criteria from trace invariants
• The 1/N expansion of colored tensor models
• Critical behavior of colored tensor models in the large N limit
• Colored Tensor Models - a Review
• Melons are branched polymers
• 3D Tensor Field Theory: Renormalization and One-loop $\beta$-functions
• Renormalization of Tensorial Group Field Theories: Abelian U(1) Models in Four Dimensions

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