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Numerical security analysis for quantum key distribution with partial state characterization

Guillermo Currás-Lorenzo
(
- Vigo U.
)
,
Álvaro Navarrete
(
- Vigo U.
)
,
Javier Núñez-Bon
(
- Vigo U. and
- Geneva U.
)
,
Margarida Pereira
(
- Vigo U.
)
,
Marcos Curty
(
- Vigo U.
)

Mar 10, 2025

16 pages

e-Print:

2503.07223 [quant-ph]

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Abstract: (arXiv)

Numerical security proofs offer a versatile approach for evaluating the secret-key generation rate of quantum key distribution (QKD) protocols. However, existing methods typically require perfect source characterization, which is unrealistic in practice due to the presence of inevitable encoding imperfections and side channels. In this paper, we introduce a novel security proof technique based on semidefinite programming that can evaluate the secret-key rate for both prepare-and-measure and measurement-device-independent QKD protocols when only partial information about the emitted states is available, significantly improving the applicability and practical relevance compared to existing numerical techniques. We demonstrate that our method can outperform current analytical approaches addressing partial state characterization in terms of achievable secret-key rates, particularly for protocols with non-qubit encoding spaces. This represents a significant step towards bridging the gap between theoretical security proofs and practical QKD implementations.

Note:

16 pages, 4 figures. v2: Corrected a minor display issue in Eq. (B7)

References(45)

Figures(5)

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