A quantum cloning game with applications to quantum position verification
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866917028418289664 |
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| author | Escolà-Farràs, Llorenç Palais, Léo Colisson Speelman, Florian |
| author_facet | Escolà-Farràs, Llorenç Palais, Léo Colisson Speelman, Florian |
| contents | We introduce a quantum cloning game in which $k$ 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 $k$, and show that it decays exponentially when the game is played $n$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22157 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A quantum cloning game with applications to quantum position verification Escolà-Farràs, Llorenç Palais, Léo Colisson Speelman, Florian Quantum Physics We introduce a quantum cloning game in which $k$ 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 $k$, and show that it decays exponentially when the game is played $n$ 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. |
| title | A quantum cloning game with applications to quantum position verification |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2410.22157 |