11 citations · 16 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
A Dynamical Lie-Algebraic Framework for Hamiltonian Engineering and Quantum Control
Yanying Liang, Ruibin Xu, Mao-Sheng Li +2
Determining the unitary dynamics accessible from finite Hamiltonian resources is a central problem in Hamiltonian engineering and quantum control. Dynamical Lie algebras (DLAs) con…