2 citations · 5 across the 4 of their papers we have counts for
11 papers
Implementing Quantum Gates Using Length-3 Dynamic Quantum Walks
Ibukunoluwa A. Adisa, Thomas G. Wong
It is well-known that any quantum gate can be decomposed into the universal gate set {T, H, CNOT}, and recent results have shown that each of these gates can be implemented using a…
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…
Search on Vertex-Transitive Graphs by Lackadaisical Quantum Walk
Mason L. Rhodes, Thomas G. Wong
The lackadaisical quantum walk is a discrete-time, coined quantum walk on a graph with a weighted self-loop at each vertex. It uses a generalized Grover coin and the flip-flop shif…
Isolated Vertices in Continuous-Time Quantum Walks on Dynamic Graphs
Thomas G. Wong
It was recently shown that continuous-time quantum walks on dynamic graphs, i.e., sequences of static graphs whose edges change at specific times, can implement a universal set of…
Search by Lackadaisical Quantum Walk with Nonhomogeneous Weights
Mason L. Rhodes, Thomas G. Wong
The lackadaisical quantum walk, which is a quantum walk with a weighted self-loop at each vertex, has been shown to speed up dispersion on the line and improve spatial search on th…
Quantum Walk Search on the Complete Bipartite Graph
Mason L. Rhodes, Thomas G. Wong
The coined quantum walk is a discretization of the Dirac equation of relativistic quantum mechanics, and it is the basis of many quantum algorithms. We investigate how it searches…