3 papers
math-ph2026
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…
quant-ph2026
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-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…