3 papers
quant-ph2026
A New Definition of Quantum Superposition
Stephen Bruce Sontz
The usual description of the superposition of two (pure quantum) states is ambiguous, since the binary operation of addition in a Hilbert space does not pass down to the quotient p…
quant-ph2026
All Quantum Probability viewed in Complex Projective Geometry
Stephen Bruce Sontz
In a recent paper it was shown that all the Hilbert space formulas for quantum probabilities can be realized as functions of geometric properties of the associated projective space…
quant-ph2025
Quantum Probability Geometrically Realized in Projective Space
Stephen Bruce Sontz
The principal goal of this paper is to pass all quantum probability formulas to the projective space associated to the complex Hilbert space of a given quantum system, providing a…