2 papers
math.QA2026
Quaternionic and Octonionic Frameworks for Quantum Computation: Mathematical Structures, Models, and Fundamental Limitations
Johan Heriberto Rúa Muñoz, Jorge Eduardo Mahecha Gómez, Santiago Pineda Montoya
We develop detailed quaternionic and octonionic frameworks for quantum computation grounded on normed division algebras. Our central result is to prove the polynomial computational…
math.RA2026
Counterexamples to a Cubic Nondegeneracy Conjecture
Santiago Pineda Montoya
Morier-Genoud and Ovsienko conjectured that a cubic Boolean generating function satisfying an ordered separation condition on its second polar must be equivalent to one of two symm…