[HTML][HTML] State transfer on graphs
C Godsil - Discrete Mathematics, 2012 - Elsevier
If X is a graph with adjacency matrix A, then we define H (t) to be the operator exp (itA). We
say that we have perfect state transfer in X from the vertex u to the vertex v at time τ if the uv …
say that we have perfect state transfer in X from the vertex u to the vertex v at time τ if the uv …
Eigenvalues of Cayley graphs
X Liu, S Zhou - arxiv preprint arxiv:1809.09829, 2018 - arxiv.org
arxiv:1809.09829v3 [math.CO] 22 Apr 2022 Eigenvalues of Cayley graphs Page 1 arxiv:1809.09829v3
[math.CO] 22 Apr 2022 Eigenvalues of Cayley graphs **aogang Liu∗ School of Mathematics …
[math.CO] 22 Apr 2022 Eigenvalues of Cayley graphs **aogang Liu∗ School of Mathematics …
[HTML][HTML] Perfect state transfer on distance-regular graphs and association schemes
We consider the representation of a continuous-time quantum walk in a graph X by the
matrix exp(− it A (X)). We provide necessary and sufficient criteria for distance-regular …
matrix exp(− it A (X)). We provide necessary and sufficient criteria for distance-regular …
[PDF][PDF] Graph spectra and continuous quantum walks
G Coutinho, C Godsil - Unpublished notes, 2021 - math.uwaterloo.ca
Graph Spectra and Continuous Quantum Walks Gabriel Coutinho, Chris Godsil Page 1 Graph
Spectra and Continuous Quantum Walks Gabriel Coutinho, Chris Godsil January 1, 2021 Page …
Spectra and Continuous Quantum Walks Gabriel Coutinho, Chris Godsil January 1, 2021 Page …
[HTML][HTML] Perfect state transfer on abelian Cayley graphs
YY Tan, K Feng, X Cao - Linear Algebra and its Applications, 2019 - Elsevier
Perfect state transfer (PST) has great significance due to its applications in quantum
information processing and quantum computation. In this paper we present a …
information processing and quantum computation. In this paper we present a …
No Laplacian perfect state transfer in trees
G Coutinho, H Liu - SIAM Journal on Discrete Mathematics, 2015 - SIAM
We consider a system of qubits coupled via nearest-neighbor interaction governed by the
Heisenberg Hamiltonian. We further suppose that all coupling constants are equal to 1. We …
Heisenberg Hamiltonian. We further suppose that all coupling constants are equal to 1. We …
Perfect state transfer on Cayley graphs over dihedral groups
X Cao, K Feng - Linear and Multilinear Algebra, 2021 - Taylor & Francis
Recently, there are extensive studies on perfect state transfer on graphs due to their
significant applications in quantum information processing and quantum computations …
significant applications in quantum information processing and quantum computations …
[HTML][HTML] Perfect state transfer in NEPS of complete graphs
Perfect state transfer in graphs is a concept arising from quantum physics and quantum
computing. Given a graph G with adjacency matrix AG, the transition matrix of G with respect …
computing. Given a graph G with adjacency matrix AG, the transition matrix of G with respect …
Perfect state transfer on Cayley graphs over dihedral groups: the non-normal case
Recently, perfect state transfer (PST for short) on graphs has attracted great attention due to
their applications in quantum information processing and quantum computations. Many …
their applications in quantum information processing and quantum computations. Many …
[HTML][HTML] Laplacian state transfer in total graphs
X Liu, Q Wang - Discrete Mathematics, 2021 - Elsevier
The total graph of a graph G, denoted by T (G), is defined to be the graph whose vertices are
the vertices and edges of G, with two vertices of T (G) adjacent if and only if the …
the vertices and edges of G, with two vertices of T (G) adjacent if and only if the …