English

General framework for the probabilistic description of experiments

Quantum Physics 2007-05-23 v1 Mathematical Physics math.MP Probability

Abstract

We introduce a new mathematical framework for the probabilistic description of an experiment on a system of any type in terms of information representing this system initially. Based on the notions of an information state and a generalized observable, this framework allows us to subsume different types of randomness and experiment effects within a single mathematical structure. Adjusting this framework to the quantum case, we clarify what is really "quantum" in quantum measurement theory.

Keywords

Cite

@article{arxiv.quant-ph/0312199,
  title  = {General framework for the probabilistic description of experiments},
  author = {Elena R. Loubenets},
  journal= {arXiv preprint arXiv:quant-ph/0312199},
  year   = {2007}
}

Comments

22 pages, 3 figures; Proceedings of Vaxjo Conference (June 2003)