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Abstract <p>The BB84 quantum key distribution protocol using coherent states with detection efficiency mismatch in active and passive bases is important, as it is used in real-world experiments. It is therefore essential to demonstrate the resilience of various protocol variations against different attacks. However, this is not always straightforward. To demonstrate stability under certain conditions, we need operator inequalities. Therefore, this study aims to derive some operator inequalities for quantum observables in three- and two-photon scenarios.</p>

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The Derivation of Operator Inequalities for the BB84 Coherent Protocol in the Three-photon and Two-photon Cases

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • V. V. Yatsulevich

摘要

Abstract

The BB84 quantum key distribution protocol using coherent states with detection efficiency mismatch in active and passive bases is important, as it is used in real-world experiments. It is therefore essential to demonstrate the resilience of various protocol variations against different attacks. However, this is not always straightforward. To demonstrate stability under certain conditions, we need operator inequalities. Therefore, this study aims to derive some operator inequalities for quantum observables in three- and two-photon scenarios.