Fundamental limits on quantum cloning from the no-signalling principle
Quantum Physics
2024-02-26 v3
Abstract
The no-cloning theorem is a cornerstone of quantum cryptography. Here we generalize and rederive in a unified framework various upper bounds on the maximum achievable fidelity of probabilistic and deterministic cloning machines. Building on ideas by Gisin [Phys.~Lett.~A, 1998], our result starts from the fact that remote state preparation is possible and the no-signalling principle holds. We apply our general theorem to several subsets of states that are of interest in quantum cryptography.
Keywords
Cite
@article{arxiv.2305.02002,
title = {Fundamental limits on quantum cloning from the no-signalling principle},
author = {Yanglin Hu and Marco Tomamichel},
journal= {arXiv preprint arXiv:2305.02002},
year = {2024}
}