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Fast state transfer via loop weights

Gabor Lippner, Yujia Shi·January 28, 2026
Quantum Physicsmath.CO

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Abstract

We prove that almost-linear-time high-fidelity state transfer is achievable in a quantum spin chain using loop weights at the second and second-to-last nodes. We provide specific parameter values, and using a careful analysis of the eigenvectors we make precise quantitative estimates of the transfer time and strength.

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