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QI: Fachverband Quanteninformation

QI 26: Quantum Communication I: Theory

QI 26.2: Vortrag

Donnerstag, 13. März 2025, 11:30–11:45, HS IX

Quantum Steering for Security Analysis of Quantum Key Distribution Protocols — •Ritu Dhaulakhandi and Ramona Wolf — Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Germany

Quantum Key Distribution (QKD) protocols exploit fundamental quantum mechanical principles to ensure secure communication, even in the presence of adversaries with unlimited computational resources. The use of quantum steering, particularly steering inequalities, provides a powerful framework for analysing correlations in scenarios involving untrusted or semi-trusted devices. Inspired by the CHSH inequality, this research explores the construction and application of asymmetric CHSH-like steering inequalities (allows adaptation to unbalanced measurement settings or noise levels between communicating parties) to establish security based on locally verifiable assumptions for QKD protocols. The inequality bounds the set of correlations explainable by local hidden variable local hidden state (LHV-LHS) models, ensuring that any violation implies genuine quantum correlations. The geometric insights from the convex characterisation of the LHV-LHS model provide a robust method to verify security while minimising trust assumptions. We investigate how such inequalities can quantify the nonlocal correlations required for secure key generation and establish their operational significance in one-sided device-independent (1SDI) QKD protocols. The steering criteria derived is tailored to practical QKD setups, allowing identification of the noise and loss thresholds necessary for their violation.

Keywords: Quantum Key Distribution; Steering Inequalities; Quantum Cryptography; Quantum Communication; Quantum Information