Generation of Photonic Graph States with minimal number of quantum emitters

arXiv:2609.30400 · quant-ph · Submitted 2026-09-24 · Read on arXiv

quant-ph

Submitted: 2026-09-24

Updated: 2026-09-24

Code: https://github.com/reviskostis/photonic_state_

Terminology

• Clustering — 59× in this paper · explained in 2 episodes
• Entanglement — 20× in this paper · explained in 3 episodes
• Adjacency Matrix — 7× in this paper · explained in 1 episode
• Core — 5× in this paper · explained in 2 episodes
• Reverse Cuthill-McKee — 4× in this paper
• Traveling Salesman Problem — 4× in this paper
• Benchmark — 2× in this paper · explained in 2 episodes
• CSS Codes — 2× in this paper · explained in 2 episodes
• Hypergraph — 2× in this paper · explained in 2 episodes
• Locally Clifford — 2× in this paper
• Reheating — 2× in this paper · explained in 2 episodes
• Ancilla Qubits — 1× in this paper · explained in 1 episode
• Benchmarking — 1× in this paper · explained in 3 episodes
• Combinatorial Optimization — 1× in this paper · explained in 2 episodes
• Computational overhead — 1× in this paper · explained in 2 episodes
• Entanglement Entropy — 1× in this paper · explained in 2 episodes
• Graph Construction — 1× in this paper · explained in 3 episodes
• Quantum Fourier Transform — 1× in this paper
• Stabilizer States — 1× in this paper · explained in 2 episodes

Sources

• Entanglement in Graph States and its Applications
• Finding trail covers: near-optimal decompositions of graph states as linear fusion networks
• Cost-aware Photonic Graph State Generation: A Graphical Framework
• A Note on Graphs of Linear Rank-Width 1
• An introduction to graph theory
• Orbit classification and analysis of qutrit graph states under local complementation and local scaling
• The Metropolis-Hastings algorithm
• Graphix: optimizing and simulating measurement-based quantum computation on local-Clifford decorated graph
• Simplified circuit-level decoding using Knill error correction

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