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quant-ph2025
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…
quant-ph2024
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…
quant-ph2023
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…