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MON: Monday Contributed Sessions

MON 17: Quantum Communication and Networks: Theory

MON 17.3: Talk

Monday, September 8, 2025, 17:00–17:15, ZHG006

Extending Entropic Uncertainty Relations in QKD to multiple measurements — •Maik Romancewicz and Ramona Wolf — Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany

Uncertainty is a fundamental property of quantum mechanics, and entropic uncertainty relations (EURs) provide a means to quantify and use it for various applications. EURs play a central role in analysing the security of quantum key distribution (QKD) protocols, especially in the finite-size regime. For the case of two different measurement settings, many useful relations are well-established and have been used to analyse QKD protocols such as BB84, obtaining high key rates and strong security guarantees. However, their applicability to study more complex QKD protocols, employing multiple measurements, such as the six-state-protocol, or higher dimensional systems, remains limited. In this work we study how to extend these relations, aiming to provide new results that can be useful in analysing the security of more complex QKD protocols.

Keywords: quantum information; quantum cryptography; uncertainty relations; security proofs