Relative entropy of entanglement and tripartite minimal surface

arXiv:2609.38815 · hep-th, gr-qc, math-ph, math.MP, quant-ph · Submitted 2026-09-30 · Read on arXiv

hep-th, gr-qc, math-ph, math.MP, quant-ph

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Entanglement — 101× in this paper · explained in 3 episodes
• Hilbert Space — 4× in this paper · explained in 2 episodes
• Domain Walls — 3× in this paper · explained in 2 episodes
• Generalization — 3× in this paper · explained in 13 episodes
• Multipartite Entanglement — 2× in this paper · explained in 2 episodes
• Symmetry Breaking — 2× in this paper · explained in 3 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Distillation — 1× in this paper · explained in 2 episodes
• Information Gain — 1× in this paper · explained in 2 episodes

Sources

• Entanglement of purification: from spin chains to holography
• Holographic Entanglement of Purification
• Optimized Correlation Measures in Holography
• A canonical purification for the entanglement wedge cross-section
• Holographic entanglement negativity and replica symmetry breaking
• Quantum correlation beyond entanglement: Holographic discord and multipartite generalizations
• Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
• Holographic duality from random tensor networks
• Generalized gravitational entropy
• The Gravity Dual of Renyi Entropy
• Quantum and Classical Correlations Inside the Entanglement Wedge
• Does connected wedge imply distillable entanglement?
• Relative entropy of entanglement of Haar random states
• Computing quantum discord is NP-complete
• Tripartite Haar random state has no bipartite entanglement
• Entanglement of Purification in Random Tensor Networks
• A solution of the generalised quantum Stein's lemma
• Direct evaluation of pure graph state entanglement
• Difficulties in analytic computation for relative entropy of entanglement
• Towards an Entanglement Measure for Mixed States in CFTs Based on Relative Entropy

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