Superposition of Wave Functions in the G-Qubit Theory

  • Alexander SOIGUINE SOiGUINE Quantum Computing, USA
Keywords: geometric algebra, wave functions, observables, measurements

Abstract

Quantum computing rests upon two theoretical pillars: superposition and entanglement. But some physicists say that this is a very shaky foundation and quantum computing success will have to be based on a different theoretical foundation. The g-qubit theory supports that point of view. Current article is the first one of two and about the superposition principle. Quantum superposition principle states that any two quantum wave functions can be superposed, and the result be another valid wave function. It specifically refers to linearity of the Schrodinger equation. In the g-qubit theory quantum wave functions are identified by points on the surface of three-dimensional sphere . That gives different, more physically feasible, not mysterious, explanation of what the superposition is.

References

[1] Soiguine, A. (2020). The Geometric Algebra Lift of Qubits and Beyond, LAMBERT Academic Publishing, 2020.
[2] Soiguine, A. (2015). "Quantum state evolution in C2 and G3+," 15 August 1915. [Online]. https://doi.org/10.48550/arXiv.1509.04148
[3] Soiguine, A. (2015). "Geometric phase in the G3+ quantum state evolution," 23 October 2015. [Online]. https://doi.org/10.48550/arXiv.1511.02777
Difference in measuring by 〖so〗_(|├ 0⟩ ) and 〖so〗_(|├ 1⟩ )
Published
2022-11-30
Section
Articles