Fundamental limits on quantum cloning from the no-signalling principle

• URL: http://arxiv.org/abs/2305.02002v3
• Date: Fri, 19 Jan 2024 14:52:03 GMT
• Title: Fundamental limits on quantum cloning from the no-signalling principle
• Authors: Yanglin Hu and Marco Tomamichel
• Abstract summary: The no-cloning theorem is a cornerstone of quantum cryptography. We generalize and rederive in a unified framework various upper bounds on the maximum achievable fidelity of probabilistic and deterministic cloning machines.
• Score: 10.60608983034705
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• 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.

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