Transparent Domain Walls through Information Convex Sets

arXiv:2609.26892 · quant-ph, cond-mat.str-el · Submitted 2026-09-22 · Read on arXiv

quant-ph, cond-mat.str-el

Submitted: 2026-09-22

Updated: 2026-10-07

Terminology

• Entanglement — 120× in this paper · explained in 3 episodes
• Domain Walls — 90× in this paper · explained in 2 episodes
• Anyons — 52× in this paper · explained in 2 episodes
• Entanglement Entropy — 28× in this paper · explained in 2 episodes
• Symmetry Breaking — 14× in this paper · explained in 3 episodes
• Axioms — 13× in this paper · explained in 2 episodes
• Topological Order — 11× in this paper · explained in 2 episodes
• Degeneracy — 10× in this paper · explained in 3 episodes
• Hilbert Space — 7× in this paper · explained in 2 episodes
• Trace — 6× in this paper · explained in 2 episodes
• Consistency — 5× in this paper · explained in 3 episodes
• Fidelity — 3× in this paper · explained in 2 episodes
• Frustration — 3× in this paper · explained in 2 episodes
• Topological Defects — 3× in this paper · explained in 2 episodes
• Anyon Condensation — 2× in this paper · explained in 1 episode
• Admissibility — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Domain walls from SPT-sewing
• An Algebraic Theory of Gapped Domain Wall Partons
• Anyon condensation and tensor categories
• Bicategories for boundary conditions and for surface defects in 3-d TFT
• Topological Quantum Computation with Gapped Boundaries
• Unveiling UV/IR Mixing via Symmetry Defects: A View from Topological Entanglement Entropy
• Immersed figure-8 annuli and anyons
• Topological Mixed States: Phases of Matter from Axiomatic Approaches
• Generalized Symmetries in Condensed Matter
• Higher-form symmetries and spontaneous symmetry breaking
• Information-theoretic principle of emergent 1-form symmetries
• Microscopic definitions of anyon data
• Entanglement asymmetry for higher and noninvertible symmetries

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