Convertibility of Observables
Quantum Physics
2014-08-18 v1
Abstract
Some problems of quantum information, cloning, estimation and testing of states, universal coding etc., are special example of the following `state convertibility' problem. In this paper, we consider the dual of this problem, 'observable conversion problem'. Given families of operators \{L_\theta}\}_{\theta\in\Theta} and \{M_\theta}\}_{\theta\in\Theta} , we ask whether there is a completely positive (sub) unital map which sends \{L_\theta}\} to \{M_\theta}\} for each {\theta}. We give necessary and sufficient conditions for the convertibility in some special cases.
Keywords
Cite
@article{arxiv.1408.3463,
title = {Convertibility of Observables},
author = {Keiji Matsumoto},
journal= {arXiv preprint arXiv:1408.3463},
year = {2014}
}