Quantum State Routing and Perfect State Transfer on Signed Graphs under Environmental Noise

arXiv:2609.39890 · quant-ph, cs.DM, cs.IT, math.CO, math.IT · Submitted 2026-09-30 · Read on arXiv

quant-ph, cs.DM, cs.IT, math.CO, math.IT

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Fidelity — 35× in this paper · explained in 2 episodes
• Perfect State Transfer — 17× in this paper
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Archetype — 2× in this paper · explained in 1 episode
• Fine-Tuning — 2× in this paper · explained in 5 episodes
• Axioms — 1× in this paper · explained in 2 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Robustness — 1× in this paper · explained in 5 episodes

Sources

• Localization of quantum walks induced by recurrence properties of random walks
• Perfect State Transfer on Signed Graphs
• Spectra of Quantized Walks and a $\sqrt{\delta\epsilon}$ rule

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