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The diffusive spectral gap of the qubit eSWAP chain

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.05152

Authors: Liang, Yanying, Zhu, Haoran

Institutions: South China Agricultural University, Agency for Science, Technology and Research, Institute of Advanced Intelligence and Computing, Nanyang Technological University

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7220657061

Cites: 4

Cited by:

Related to: 10