arXiv subjects

Michael Zirpel

Publications and source records attributed to Michael Zirpel.

4 recordsLinked to original sources

arXiv2022

Quantum measurement process with an ideal detector array

Any observable with finite eigenvalue spectrum can be measured using a multiport apparatus realizing an appropriate unitary transformation and an array of detector instruments, where each detector operates as an indicator of one possible value of the observable. The study of this setup in the frame of von Neumann's quantum mechanical measurement process has a remarkable result: already after the interaction of the measured system with the detector array without collapse, exactly one detector is indicating a detection. Each single detector indicates either 0 or 1 detection, and no superposition can be attributed to it.

physics.gen-ph↗

arXiv2017

Bell's theorem in automata theory

Bell's theorem is reformulated and proved in the pure mathematical terms of automata theory, avoiding any physical or ontological notions. It is stated that no pair of finite probabilistic sequential machines can reproduce in its output the statistical results of the quantum-physical Bell test experiment if each machine is independent of the respective remote input.

quant-ph↗

arXiv2013

Repeatable measurements and the collapse postulate

J. v. Neumann justified the collapse postulate by the empirical fact of the repeatability of a measurement at a single quantum system. However, in his quantum mechanical treatment of the measurement process repeatability emerges without collapse. The entangled state of the measurement device and the measured system after their interaction ensures it already. Furthermore, this state gives the same predictions for the measured system alone as the description demanded by the collapse postulate.

quant-ph↗

arXiv2009

Bohmian particle trajectories contradict quantum mechanics

The Bohmian interpretation of quantum mechanics adds particle trajectories to the wave function and ensures that the probability distribution of the particle positions agrees with quantum mechanics at any time. This is not sufficient to avoid contradictions with quantum mechanics. There are correlations between particle positions at different times which cannot be reproduced with real particle trajectories. A simple rearrangement of an experimental test of the Bell-CHSH inequality demonstrates this.

quant-ph↗