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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.08141 |
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| _version_ | 1866909950532386816 |
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| author | Kay, Alastair Tamon, Christino |
| author_facet | Kay, Alastair Tamon, Christino |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08141 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The strength of weak coupling Kay, Alastair Tamon, Christino Quantum Physics Combinatorics 81P45, 05C50 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. |
| title | The strength of weak coupling |
| topic | Quantum Physics Combinatorics 81P45, 05C50 |
| url | https://arxiv.org/abs/2512.08141 |