Construction of Partial Join Graphs with Perfect State Transfer in Shunt Decomposition-Based Quantum Walks

arXiv:2609.30490 · quant-ph, math.CO · Submitted 2026-09-24 · Read on arXiv

quant-ph, math.CO

Submitted: 2026-09-24

Updated: 2026-09-24

Terminology

• Adjacency Matrix — 38× in this paper · explained in 1 episode
• APEX — 3× in this paper · explained in 1 episode
• Graph Construction — 3× in this paper · explained in 3 episodes
• Alignment — 1× in this paper · explained in 1 episode
• Embeddings — 1× in this paper · explained in 2 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Shunt Decomposition Walks and Perfect State Transfer — 1× in this paper

Sources

• Perfect state transfer, integral circulants and join of graphs
• Perfect State Transfer on Quotient Graphs in Shunt Decomposition-Based Quantum Walks

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