Quantum Information Flow under String-Diagram Rewriting

arXiv:2608.09823 · quant-ph, hep-th · Submitted 2026-08-10 · Read on arXiv

quant-ph, hep-th

Submitted: 2026-08-10

Updated: 2026-09-15

Code: https://github.com/zxcalc/book

Terminology

• Entanglement — 97× in this paper · explained in 4 episodes
• Distillation — 9× in this paper · explained in 2 episodes
• Hilbert Space — 7× in this paper · explained in 2 episodes
• Entanglement Entropy — 6× in this paper · explained in 2 episodes
• Entanglement Distillation — 5× in this paper · explained in 2 episodes
• Stabilizer States — 4× in this paper · explained in 2 episodes
• Redundancy — 3× in this paper · explained in 2 episodes
• Trace — 3× in this paper · explained in 2 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Abstraction — 1× in this paper · explained in 1 episode
• Axioms — 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
• Shanghai Institute for Mathematics and Interdisciplinary Sciences — 1× in this paper

Sources

• The logic of entanglement
• Quantum information-flow, concretely, and axiomatically
• A categorical semantics of quantum protocols
• Categorical quantum mechanics
• Kindergarten Quantum Mechanics
• Entanglement Renormalization and Holography
• Constructing holographic spacetimes using entanglement renormalization
• Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
• Holographic duality from random tensor networks
• Beyond Toy Models: Distilling Tensor Networks in Full AdS/CFT
• Bit threads and holographic entanglement
• Bit Threads and Holographic Monogamy
• Riemannian and Lorentzian flow-cut theorems
• Covariant bit threads
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Aspects of Holographic Entanglement Entropy
• A Covariant Holographic Entanglement Entropy Proposal
• Interacting Quantum Observables: Categorical Algebra and Diagrammatics
• ZX-calculus for the working quantum computer scientist

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