Physics – Quantum Physics
Scientific paper
2010-10-26
Physics
Quantum Physics
20 pages, 6 figures
Scientific paper
Conventional quantum mechanics with a complex Hilbert space and the Born Rule is derived from five axioms describing properties of probability distributions for the outcome of measurements. Axioms I,II,III are common to quantum mechanics and hidden variable theories. Axiom IV recognizes a phenomenon, first noted by Turing and von Neumann, in which the increase in entropy resulting from a measurement is reduced by a suitable intermediate measurement. This is shown to be impossible for local hidden variable theories. Axiom IV, together with the first three, almost suffice to deduce the conventional rules but allow some exotic, alternatives such as real or quaternionic quantum mechanics. Axiom V recognizes a property of the distribution of outcomes of random measurements on qubits which holds only in the complex Hilbert space model. It is then shown that the five axioms also imply the conventional rules for all dimensions.
No associations
LandOfFree
Derivation of the Rules of Quantum Mechanics from Information-Theoretic Axioms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Derivation of the Rules of Quantum Mechanics from Information-Theoretic Axioms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Derivation of the Rules of Quantum Mechanics from Information-Theoretic Axioms will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-159040