11 citations · 24 across the 8 of their papers we have counts for
5 papers · 1 filter
Equivalent Laplacian and Adjacency Quantum Walks on Irregular Graphs
Thomas G. Wong, Joshua Lockhart
The continuous-time quantum walk is a particle evolving by Schrödinger's equation in discrete space. Encoding the space as a graph of vertices and edges, the Hamiltonian is proport…
Quantum Walk Search on Kronecker Graphs
Thomas G. Wong, Konstantin Wünscher, Joshua Lockhart +1
Kronecker graphs, obtained by repeatedly performing the Kronecker product of the adjacency matrix of an "initiator" graph with itself, have risen in popularity in network science d…
Hierarchical quantum classifiers
Edward Grant, Marcello Benedetti, Shuxiang Cao +5
Quantum circuits with hierarchical structure have been used to perform binary classification of classical data encoded in a quantum state. We demonstrate that more expressive circu…
Quantum State Isomorphism
Joshua Lockhart, Carlos E. González Guillén
We consider a problem we call StateIsomorphism: given two quantum states of n qubits, can one be obtained from the other by rearranging the qubit subsystems? Our main goal is to st…
Combinatorial Entanglement
Joshua Lockhart, Simone Severini
We present new combinatorial objects, which we call grid-labelled graphs, and show how these can be used to represent the quantum states arising in a scenario which we refer to as…