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quant-ph2026
Universality from Quadratic Angular-Momentum Operations: Exact Dynamical Lie Algebras and the Role of the Casimir Obstruction
Tim Heib, Pérola Milman
Universality relies on combining operators with different algebraic properties, which depend on the physical structure of the Hilbert space encoding the information. Systems of ide…
math-ph2026
On the structural properties of Lie algebras via associated labeled directed graphs
Tim Heib, David Edward Bruschi
We present a method for associating labeled directed graphs to finite-dimensional Lie algebras, thereby enabling rapid identification of key structural algebraic features. To forma…