Möbius Quantum Computation
A New Topological Boundary Framework for Quantum Information Processing
Authors :
José
Luis Mac Loughlin 1,
Norma G. Sanchez 2
1School
of Arts and Sciences, Museum House and Quantum Laboratory, La Plata
city 1900, Provincia de Buenos Aires, Argentina
2 International School and Institute of Astro-Physics Daniel Chalonge- Hector de Vega, CNRS, INSU-Institut National des Sciences de l’Univers, Sorbonne Université, 75014 Paris, France.
Contact : chalonge.ecoleATchalonge-devega.fr,
Executive Summary
Quantum computing is widely regarded as one of the most transformative technologies of the twenty-first century. The new work by José Luis Mac Loughlin and Norma G. Sanchez introduces an original theoretical framework in which the topology of the Möbius strip becomes an active ingredient for quantum information processing.
Instead of treating topology merely as a mathematical description, the proposed framework explores how non-orientable boundary conditions influence quantum evolution, geometric phases, future quantum computing architectures and quantum error mitigation.
The work establishes a new conceptual direction at the intersection of topology, geometry, and quantum information science, it also yields to an information vision of vacuum physics in several contexts from the quantum laboratory to gravitational physics.
Keywords: Quantum Computing • Quantum Information • Möbius Strip • Topology • Geometric Quantum Evolution • Topological Boundary Conditions • Quantum Gates • Quantum Technologies
Why is this work different?
Most present approaches investigate: • quantum algorithms • superconducting qubits
• trapped ions • photonic quantum computers • topological quantum matter
This work asks a different question:
Can the topology of the computational space itself become a quantum resource?
That question motivates the Möbius Quantum Computation framework.
Main Contributions of this work :
✔ Introduces the concept of Möbius Quantum Computation.
✔ Proposes non-orientable boundary conditions for quantum information.
✔ Develops a geometric description of quantum evolution.
✔ Suggests new directions toward robust quantum architectures.
✔ Opens a new research program connecting topology and quantum technologies.
Potential Future Applications
Although the present work is theoretical, it suggests applications in • quantum error mitigation • fault-tolerant quantum computation • geometric quantum gates • topological quantum architectures
Frequently Asked Questions
Why a Möbius strip?
Because it is the simplest non-orientable surface and naturally exhibits unique global topological properties that imply new quantum boundary conditions and quantum evolution.
Is the proposal experimentally testable?
The present work is theoretical, but it provides a conceptual framework that may motivate future experimental and computational work , computer architecture dessigns. and their optimization.
Is this a new quantum computer? No.
It is a new theoretical framework that may inspire future quantum computing architectures.
Does it replace current quantum computing? No.
It complements existing approaches by introducing a new topological viewpoint.
Article
Möbius Quantum Computation: A New Topological Boundary Framework for Quantum Information Processing
Authors :
José
Luis Mac Loughlin 1,
Norma G. Sanchez 2
1School
of Arts and Sciences, Museum House and Quantum Laboratory, La Plata
city 1900, Provincia de Buenos Aires, Argentina
2 International School and Institute of Astro-Physics Daniel Chalonge- Hector de Vega, CNRS, INSU-Institut National des Sciences de l’Univers, Sorbonne Université, 75014 Paris, France.
Reference and links : Researchgate Publication, DOI: 10.13140/RG.2.2.33458.36806 (July 2026)
https://chalonge-devega.fr/Mobius_Topology_Quantum_Computation.pdf
Contact : chalonge.ecoleATchalonge-devega.fr,