Finite-size quantum key distribution rates from Rényi entropies using conic optimization
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911596951896064 |
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| author | Navarro, Mariana Lorente, Andrés González Parellada, Pablo V. Pascual-García, Carlos Araújo, Mateus |
| author_facet | Navarro, Mariana Lorente, Andrés González Parellada, Pablo V. Pascual-García, Carlos Araújo, Mateus |
| contents | Finite-size general security proofs for quantum key distribution based on Rényi entropies have recently been introduced. These approaches are more flexible and provide tighter bounds on the secret key rate than traditional formulations based on the von Neumann entropy. However, deploying them requires minimizing the conditional Rényi entropy, a difficult optimization problem that has hitherto been tackled using ad-hoc techniques based on the Frank-Wolfe algorithm, which are unstable and can only handle particular cases. In this work, we introduce a method based on non-symmetric conic optimization for solving this problem. Our technique is fast, reliable, and completely general. We illustrate its performance on several protocols, whose results represent an improvement over the state of the art. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10584 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite-size quantum key distribution rates from Rényi entropies using conic optimization Navarro, Mariana Lorente, Andrés González Parellada, Pablo V. Pascual-García, Carlos Araújo, Mateus Quantum Physics Finite-size general security proofs for quantum key distribution based on Rényi entropies have recently been introduced. These approaches are more flexible and provide tighter bounds on the secret key rate than traditional formulations based on the von Neumann entropy. However, deploying them requires minimizing the conditional Rényi entropy, a difficult optimization problem that has hitherto been tackled using ad-hoc techniques based on the Frank-Wolfe algorithm, which are unstable and can only handle particular cases. In this work, we introduce a method based on non-symmetric conic optimization for solving this problem. Our technique is fast, reliable, and completely general. We illustrate its performance on several protocols, whose results represent an improvement over the state of the art. |
| title | Finite-size quantum key distribution rates from Rényi entropies using conic optimization |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.10584 |