3 papers
quant-ph2025
Continuous-Time Quantum State Transfer with a Generalized Laplacian
Yujia Shi
Quantum walks generated by the adjacency matrix or the Laplacian are known to exhibit low transfer fidelity on general graphs. In this paper, we study continuous-time quantum walks…
quant-ph2024
Strong quantum state transfer on graphs via loop edges
Gabor Lippner, Yujia Shi
We quantify the effect of weighted loops at the source and target nodes of a graph on the strength of quantum state transfer between these vertices. We give lower bounds on loop we…
quant-ph2023
Quantifying State Transfer Strength on Graphs with Involution
Gabor Lippner, Yujia Shi
This paper discusses continuous-time quantum walks and asymptotic state transfer in graphs with an involution. By providing quantitative bounds on the eigenvectors of the Hamiltoni…