Convertibility of Observables

preprint2014arXivOpen access

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 $\{L_θ}\}_{θ\inΘ}$ and $\{M_θ}\}_{θ\inΘ}$ , we ask whether there is a completely positive (sub) unital map which sends $\{L_θ}\}$ to $\{M_θ}\}$ for each θ. We give necessary and sufficient conditions for the convertibility in some special cases.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Reviews 0

Write a reviewWrite

No reviews yet.

Discussion 0

Add a commentWrite

No comments yet.