English

A quantum cloning game with applications to quantum position verification

Quantum Physics 2025-10-22 v1

Abstract

We introduce a quantum cloning game in which kk separate collaborative parties receive a classical input, determining which of them has to share a maximally entangled state with an additional party (referee). We provide the optimal winning probability of such a game for every number of parties kk, and show that it decays exponentially when the game is played nn times in parallel. These results have applications to quantum cryptography, in particular in the topic of quantum position verification, where we show security of the routing protocol (played in parallel), and a variant of it, in the random oracle model.

Keywords

Cite

@article{arxiv.2410.22157,
  title  = {A quantum cloning game with applications to quantum position verification},
  author = {Llorenç Escolà-Farràs and Léo Colisson Palais and Florian Speelman},
  journal= {arXiv preprint arXiv:2410.22157},
  year   = {2025}
}
R2 v1 2026-06-28T19:39:49.113Z