Continuous time quantum walks provide an important framework for designing new algorithms and modelling quantum transport and state transfer problems. Often, the graph …
Pretty good state transfer in networks of qubits occurs when a continuous-time quantum walk allows the transmission of a qubit state from one node of the network to another, with fidelity …
G Coutinho, C Godsil - Unpublished notes, 2021 - math.uwaterloo.ca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 …
Berry's approach on “transitionless quantum driving” shows how to set a Hamiltonian which drives the dynamics of a system along instantaneous eigenstates of a reference Hamiltonian …
Fractional revival is a quantum transport phenomenon important for entanglement generation in spin networks. This takes place whenever a continuous-time quantum walk …
A systematic study of fractional revival at two sites in XX quantum spin chains is presented. Analytic models with this phenomenon are obtained by combining two basic ways of …
L Vinet, A Zhedanov - Physical Review A—Atomic, Molecular, and Optical …, 2012 - APS
The natural notion of almost perfect state transfer (APST) is examined. It is applied to the modeling of efficient quantum wires with the help of XX spin chains. It is shown that APST …
W Qin, C Wang, GL Long - Physical Review A—Atomic, Molecular, and Optical …, 2013 - APS
In this paper, we investigate a high-dimensional quantum state transfer protocol. An arbitrary unknown high-dimensional state can be transferred with high fidelity between two remote …
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 …