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quant-ph2026
The diffusive spectral gap of the qubit eSWAP chain
Yanying Liang, Haoran Zhu
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 characteri…
quant-ph2026
iSWAP maximises the second-moment spectral gap in random quantum circuits
Yanying Liang, Haoran Zhu
We prove that the gate maximises the spectral gap of the Hermitian second-moment operator on every connected graph with at least three vertices, among all two-loca…
quant-ph2026
Spectral gaps of ironed two-qubit gadgets matching the iSWAP gap
Yanying Liang, Haoran Zhu
We prove that every ironed two-qubit gadget whose KAK-derived parameter satisfies has, on the complete graph with , the same second-moment spectral gap…