Quantum-mechanical measurement apparatus as a black box
Quantum Physics
2014-02-13 v1
Abstract
It is commonly believed that the most general type of a quantum-mechanical measurement is one described by a positive-operator valued measure (POVM). In the present paper, this statement is proven for any measurements on quantum systems with a finite-dimensional state space. The proof of POVM nature of an arbitrary measurement is carried out using a purely operational approach, which is fully ignorant about what is inside a measurement apparatus. The suggested approach gives also an opportunity to derive the Born rule.
Cite
@article{arxiv.1402.2919,
title = {Quantum-mechanical measurement apparatus as a black box},
author = {A. V. Nenashev},
journal= {arXiv preprint arXiv:1402.2919},
year = {2014}
}
Comments
11 pages, 3 figures