5 papers
Kernel-Preserving Dynamics and Symmetry Classification for Synchronization Subspaces
Nicholas R. Allgood
We study the preservation and stability of synchronization subspaces in tensor products of finite-dimensional Hilbert spaces. Given self-adjoint operators and on local…
A Commuting Hamiltonian Framework for Quantum Time Transfer
Nicholas R. Allgood
We develop a mathematical framework for quantum time transfer based on commuting families of Hamiltonians and synchronization observables. The synchronization subspace is defined a…
Adaptive Quantum Optimized Centroid Initialization
Nicholas R. Allgood, Ajinkya Borle, Charles K. Nicholas
Prototype-based clustering algorithms such as k-means are sensitive to the selection of initial cluster centroids, with poor initialization leading to slower convergence and subopt…
Quantum Optimized Centroid Initialization
Nicholas R. Allgood, Ajinkya Borle, Charles K. Nicholas
One of the major benefits of quantum computing is the potential to resolve complex computational problems faster than can be done by classical methods. There are many prototype-bas…
A Quantum Algorithm To Locate Unknown Hashgrams
Nicholas R. Allgood, Charles K. Nicholas
Quantum computing has evolved quickly in recent years and is showing significant benefits in a variety of fields, especially in the realm of cybersecurity. The combination of softw…