High-dimensional quantum key distribution rates for multiple measurement bases
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915943853064192 |
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| author | Wyderka, Nikolai Chesi, Giovanni Kampermann, Hermann Macchiavello, Chiara Bruß, Dagmar |
| author_facet | Wyderka, Nikolai Chesi, Giovanni Kampermann, Hermann Macchiavello, Chiara Bruß, Dagmar |
| contents | We investigate the advantages of high-dimensional encoding for a quantum key distribution protocol. In particular, we address a BBM92-like protocol where the dimension of the systems can be larger than two and more than two mutually unbiased bases (MUBs) can be employed. Indeed, it is known that, for a system whose dimension $d$ is a prime or the power of a prime, up to $d+1$ MUBs can be found. We derive an analytic expression for the asymptotic key rate when $d+1$ MUBs are exploited and show the effects of using different numbers of MUBs on the performance of the protocol. Then, we move to the non-asymptotic case and optimize the finite key rate against collective and coherent attacks for generic dimension of the systems and all possible numbers of MUBs. In the finite-key scenario, we find that, if the number of rounds is small enough, the highest key rate is obtained by exploiting three MUBs, instead of $d+1$ as one may expect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05890 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | High-dimensional quantum key distribution rates for multiple measurement bases Wyderka, Nikolai Chesi, Giovanni Kampermann, Hermann Macchiavello, Chiara Bruß, Dagmar Quantum Physics We investigate the advantages of high-dimensional encoding for a quantum key distribution protocol. In particular, we address a BBM92-like protocol where the dimension of the systems can be larger than two and more than two mutually unbiased bases (MUBs) can be employed. Indeed, it is known that, for a system whose dimension $d$ is a prime or the power of a prime, up to $d+1$ MUBs can be found. We derive an analytic expression for the asymptotic key rate when $d+1$ MUBs are exploited and show the effects of using different numbers of MUBs on the performance of the protocol. Then, we move to the non-asymptotic case and optimize the finite key rate against collective and coherent attacks for generic dimension of the systems and all possible numbers of MUBs. In the finite-key scenario, we find that, if the number of rounds is small enough, the highest key rate is obtained by exploiting three MUBs, instead of $d+1$ as one may expect. |
| title | High-dimensional quantum key distribution rates for multiple measurement bases |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2501.05890 |