Asymptotically Optimal Adversarial Strategies for the Probability Estimation Framework

Autor: Patra, Soumyadip, Bierhorst, Peter
Rok vydání: 2023
Předmět:
Zdroj: Entropy 2023, 25(9), 1291
Druh dokumentu: Working Paper
DOI: 10.3390/e25091291
Popis: The Probability Estimation Framework involves direct estimation of the probability of occurrences of outcomes conditioned on measurement settings and side information. It is a powerful tool for certifying randomness in quantum non-locality experiments. In this paper, we present a self-contained proof of the asymptotic optimality of the method. Our approach refines earlier results to allow a better characterisation of optimal adversarial attacks on the protocol. We apply these results to the (2,2,2) Bell scenario, obtaining an analytic characterisation of the optimal adversarial attacks bound by no-signalling principles, while also demonstrating the asymptotic robustness of the PEF method to deviations from expected experimental behaviour. We also study extensions of the analysis to quantum-limited adversaries in the (2,2,2) Bell scenario and no-signalling adversaries in higher $(n,m,k)$ Bell scenarios.
Comment: 54 pages
Databáze: arXiv
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