A Matrix–Constraint Framework for Quantum States
Abstract
This preprint presents a conceptual and pedagogical framework for understanding quantum states through elementary linear algebra. By expressing physical conditions in the matrix form Ax = b, the work relates superposition, definite states, and forbidden configurations to underdetermined, exactly determined, and overdetermined linear systems. The paper aims to clarify structural aspects of quantum mechanics without modifying its formalism.
Fields of Study & Subjects
Quantum Mechanics and Applications
Quantum Computing Algorithms and Architecture
Matrix Theory and Algorithms
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 20 January 2026
- Document type
- Preprint