Nonexistence of a universal quantum machine to examine the precision of unknown quantum states
Quantum Physics
2015-05-30 v2
Abstract
In this work, we reveal a new type of impossibility discovered in our recent research which forbids comparing the closeness of multiple unknown quantum states with any non-trivial threshold in a perfect or an unambiguous way. This impossibility is distinct from the existing impossibilities in that it is a "collective" impossibility on multiple quantum states while most other "no-go" theorems concern with only one single state each time, i.e., it is an impossibility on a non-local quantum operation. This novel impossibility may provide a new insight into the nature of quantum mechanics and it implies more limitations on quantum information tasks than the existing "no-go" theorems.
Keywords
Cite
@article{arxiv.1110.4540,
title = {Nonexistence of a universal quantum machine to examine the precision of unknown quantum states},
author = {Shengshi Pang and Shengjun Wu and Zeng-Bing Chen},
journal= {arXiv preprint arXiv:1110.4540},
year = {2015}
}