Defining Security in Quantum Key Distribution
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918142434869248 |
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| author | Ferradini, Carla Sandfuchs, Martin Wolf, Ramona Renner, Renato |
| author_facet | Ferradini, Carla Sandfuchs, Martin Wolf, Ramona Renner, Renato |
| contents | The security of quantum key distribution (QKD) is quantified by a parameter $\varepsilon>0$, which -- under well-defined physical assumptions -- can be bounded explicitly. This contrasts with computationally secure schemes, where security claims are only asymptotic (i.e., under standard complexity assumptions, one only knows that $\varepsilon \to 0$ as the key size grows, but has no explicit bound). Here we explain the definition and interpretation of $\varepsilon$-security. Adopting an axiomatic approach, we show that $\varepsilon$ can be understood as the maximum probability of a security failure. Finally, we review and address several criticisms of this definition that have appeared in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_13405 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Defining Security in Quantum Key Distribution Ferradini, Carla Sandfuchs, Martin Wolf, Ramona Renner, Renato Quantum Physics Cryptography and Security The security of quantum key distribution (QKD) is quantified by a parameter $\varepsilon>0$, which -- under well-defined physical assumptions -- can be bounded explicitly. This contrasts with computationally secure schemes, where security claims are only asymptotic (i.e., under standard complexity assumptions, one only knows that $\varepsilon \to 0$ as the key size grows, but has no explicit bound). Here we explain the definition and interpretation of $\varepsilon$-security. Adopting an axiomatic approach, we show that $\varepsilon$ can be understood as the maximum probability of a security failure. Finally, we review and address several criticisms of this definition that have appeared in the literature. |
| title | Defining Security in Quantum Key Distribution |
| topic | Quantum Physics Cryptography and Security |
| url | https://arxiv.org/abs/2509.13405 |