Fundamental Limitations within the Selected Cryptographic Scenarios and Supra-Quantum Theories

• URL: http://arxiv.org/abs/2311.08211v1
• Date: Tue, 14 Nov 2023 14:48:57 GMT
• Title: Fundamental Limitations within the Selected Cryptographic Scenarios and Supra-Quantum Theories
• Authors: Marek Winczewski
• Abstract summary: We study the fundamental limitations within the selected quantum and supra-quantum cryptographic scenarios. We investigate various security paradigms, bipartite and multipartite settings. We propose a novel type of rerouting attack on the quantum Internet.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The following submission constitutes a guide and an introduction to a collection of articles submitted as a Ph.D. dissertation at the University of Gda\'nsk. In the dissertation, we study the fundamental limitations within the selected quantum and supra-quantum cryptographic scenarios in the form of upper bounds on the achievable key rates. We investigate various security paradigms, bipartite and multipartite settings, as well as single-shot and asymptotic regimes. Our studies, however, extend beyond the derivations of the upper bounds on the secret key rates in the mentioned scenarios. In particular, we propose a novel type of rerouting attack on the quantum Internet for which we find a countermeasure and benchmark its efficiency. Furthermore, we propose several upper bounds on the performance of quantum (key) repeaters settings. We derive a lower bound on the secret key agreement capacity of a quantum network, which we tighten in an important case of a bidirectional quantum network. The squashed nonlocality derived here as an upper bound on the secret key rate is a novel non-faithful measure of nonlocality. Furthermore, the notion of the non-signaling complete extension arising from the complete extension postulate as a counterpart of purification of a quantum state allows us to study analogies between non-signaling and quantum key distribution scenarios.

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