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Bibliographic Details
Main Authors: Kay, Alastair, Tamon, Christino
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2512.08141
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Table of Contents:
  • A paradoxical idea in quantum transport is that attaching weakly-coupled edges to a large base graph creates high-fidelity quantum state transfer. We provide a mathematical treatment that rigorously prove this folklore idea. Our proofs are elementary and build upon the Feshbach-Schur method from perturbation theory. We also show the idea is effective in circumventing Anderson localization in spin chains and finding speedups in hitting times useful for quantum search.