6 papers
Spectral width and polynomial degree in perfect state transfer
Xingkun Song
We study the minimum time for perfect state transfer under polynomial Hamiltonians with bounded degree and spectral width. For a strongly cospectral pair and width bound , the o…
Perfect State Transfer on Oriented Circulant Graphs: A Complete Classification
Xingkun Song
The continuous-time quantum walk on an oriented circulant graph is determined by the Fourier eigenvalues of its Hermitian adjacency matrix. We classify perfect state transfer (PST)…
Zero transfer on mixed graphs
Xingkun Song, Huiqiu Lin
In this paper, we investigate zero transfer on mixed graphs. Zero transfer is a quantum walk phenomenon in which the transition amplitude between two vertices is identically zero f…
State transfer on integral mixed circulant graphs
Xing-Kun Song, Huiqiu Lin
A mixed circulant graph is called integral if all eigenvalues of its Hermitian adjacency matrix are integers. The main purpose of this paper is to investigate the existence of perf…
Perfect state transfer in neighborhood coronas
Xing-Kun Song
The neighborhood corona is the graph obtained by taking one copy and copies of , and joining each vertex of the th copy of to all neighbors of $v_{j…
Quantum state transfer on integral oriented circulant graphs
Xing-Kun Song
An oriented circulant graph is called integral if all eigenvalues of its Hermitian adjacency matrix are integers. The main purpose of this paper is to investigate the existence of…