Finding gflow on unlabelled open graphs

arXiv:2609.40099 · quant-ph · Submitted 2026-09-30 · Read on arXiv

quant-ph

Submitted: 2026-09-30

Updated: 2026-10-02

Terminology

• Adjacency Matrix — 9× in this paper · explained in 1 episode
• Quantum Circuits — 5× in this paper · explained in 2 episodes
• Adaptation — 2× in this paper · explained in 1 episode
• Consistency — 2× in this paper · explained in 3 episodes
• Hypergraph — 2× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 4 episodes

Sources

• Mapping graph state orbits under local complementation
• There and back again: A circuit extraction tale
• Completeness for flow-preserving rewrite rules
• Outcome determinism in measurement-based quantum computation with qudits
• Graph-theoretic Simplification of Quantum Circuits with the ZX-calculus
• Causal flow preserving optimisation of quantum circuits in the ZX-calculus
• ZX-Flow: A Flexible Criterion for Deterministic Computation with ZX-Diagrams
• Flow-preserving ZX-calculus Rewrite Rules for Optimisation and Obfuscation
• Pauli Flow on Open Graphs with Unknown Measurement Labels
• Working with measurement-based computations on qudits
• Determinism and Computational Power of Real Measurement-based Quantum Computation
• Computational model underlying the one-way quantum computer
• Relating Measurement Patterns to Circuits via Pauli Flow
• Multi-controlled Phase Gate Synthesis with ZX-calculus applied to Neutral Atom Hardware

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