Geometric Quantum Collapse From the Riemann Sphere to Future Computing: Writing notes on the relationship of geometry in quantum mechanics

By Mohamed Lefliti

The researcher presents a new geometric model to explain "wave function collapse" (i.e. the transition of a system from quantum superposition to a specific state upon measurement), relying on the Riemann sphere (Riemann Sphere) as a natural space for quantum states of two-level systems (such as qubits). The researcher presents a new geometric model to explain "wave function collapse" (i.e. the transition of a system from quantum superposition to a specific state upon measurement), relying on the Riemann sphere (Riemann Sphere) as a natural space for quantum states of two-level systems (such as qubits). Understanding qubit errors: Engineering can accurately describe how the state of a qubit is "distorted" under the influence of noise, and help design more efficient error correction codes. Better logical door design: Logical operations on qubits are cycles in the geometric state space. Engineering models allow for faster and less energy-intensive door design. Handling Collapse: In current models, collapse is the enemy of quantum computing. But in geometric models like this paper, we can accurately calculate when a collapse occurs based on the mass of the qubit, thus determining the maximum amount of time we can execute a quantum algorithm before the state collapses. Topological qubits: A whole research trend that seeks to make qubits that are not points, but topological nodes (such as in certain ionic systems). These qubits are intrinsically resistant to local errors because they rely on comprehensive geometry, not local details.

• Format: Paperback
• Language: English
• ISBN: 9999345387
• ISBN13: 9789999345385
• Release Date: May 2026
• Publisher: Eliva Press
• Length: 48 Pages
• Weight: 0.17 lbs.
• Dimensions: 0.1" x 6.0" x 9.0"