4 papers
Quantum Probability's Algebraic Origin
Gerd Niestegge
Max Born's statistical interpretation made probabilities play a major role in quantum theory. Here we show that these quantum probabilities and the classical probabilities have ver…
Local tomography and the role of the complex numbers in quantum mechanics
Gerd Niestegge
Various reconstructions of finite-dimensional quantum mechanics result in a formally real Jordan algebra A and a last step remains to conclude that A is the self-adjoint part of a…
A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras
Gerd Niestegge
Quantum theory's Hilbert space apparatus in its finite-dimensional version is nearly reconstructed from four simple and quantum-mechanically motivated postulates for a quantum logi…
Third-order interference and a principle of `quantumness'
Gerd Niestegge
Are there physical, probabilistic or information-theoretic principles which characterize the quantum probabilities and distinguish them from the classical case as well as from othe…