3 papers
quant-ph2026
Bit symmetry entails the symmetry of the quantum transition probability
Gerd Niestegge
It is quite common to use the generalized probabilistic theories (GPTs) as generic models to reconstruct quantum theory from a few basic principles and to gain a better understandi…
quant-ph2026
On the homogeneity of the quantum transition probability
Gerd Niestegge
In the years 1952 and 1965, H.-C. Wang and U. Hirzebruch showed that the two-point homogeneous compact spaces with convex metrics are isometric to the spheres, the real, complex, o…
quant-ph2024
Quantum transition probability in convex sets and self-dual cones
Gerd Niestegge
The interplay between the algebraic structure (operator algebras) for the quantum observables and the convex structure of the state space has been explored for a long time and most…