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The diffusive spectral gap of the qubit eSWAP chain

  • Yanying Liang
  • Haoran Zhu
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Abstract

We prove that the second-moment Hamiltonian of the open qubit eSWAP chain has a diffusive spectral gap, resolving a conjecture of Li, Zheng, Liu, Jiang, and Liu. We also characterise the ground space on every connected interaction graph with at least five vertices and prove a uniform lower bound for the unnormalised complete-graph gap. We apply these results to sequential and brickwork circuits and prove that the periodic chain also has a diffusive spectral gap.

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Cite

BibTeXRIS
BibTeX
@misc{liang2026diffusive,
  title = {{The diffusive spectral gap of the qubit eSWAP chain}},
  author = {Yanying Liang and Haoran Zhu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.05152},
  eprint = {2610.05152},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.05152},
}
RIS
TY  - UNPB
TI  - The diffusive spectral gap of the qubit eSWAP chain
AU  - Yanying Liang
AU  - Haoran Zhu
PY  - 2026
DA  - 2026/10/04
PB  - arXiv
DO  - 10.48550/arxiv.2610.05152
UR  - https://arxiv.org/abs/2610.05152
AB  - We prove that the second-moment Hamiltonian of the open qubit eSWAP chain has a diffusive spectral gap, resolving a conjecture of Li, Zheng, Liu, Jiang, and Liu. We also characterise the ground space on every connected interaction graph with at least five vertices and prove a uniform lower bound for the unnormalised complete-graph gap. We apply these results to sequential and brickwork circuits and prove that the periodic chain also has a diffusive spectral gap.
ER  -