Theoretical Setting of Inner Reversible Quantum Measurements
Quantum Physics
2009-11-11 v2 Logic in Computer Science
Mathematical Physics
Logic
math.MP
Abstract
We show that any unitary transformation performed on the quantum state of a closed quantum system, describes an inner, reversible, generalized quantum measurement. We also show that under some specific conditions it is possible to perform a unitary transformation on the state of the closed quantum system by means of a collection of generalized measurement operators. In particular, given a complete set of orthogonal projectors, it is possible to implement a reversible quantum measurement that preserves the probabilities. In this context, we introduce the concept of "Truth-Observable", which is the physical counterpart of an inner logical truth.
Cite
@article{arxiv.quant-ph/0507155,
title = {Theoretical Setting of Inner Reversible Quantum Measurements},
author = {Paola Zizzi},
journal= {arXiv preprint arXiv:quant-ph/0507155},
year = {2009}
}
Comments
11 pages. More concise, shortened version for submission to journal. References added