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quant-ph2024
Data Processing Inequality for The Quantum Guesswork
Ilyass Mejdoub, Julien Béguinot, Olivier Rioul
Non-orthogonal quantum states pose a fundamental challenge in quantum information processing, as they cannot be distinguished with absolute certainty. Conventionally, the focus has…
cs.IT2024
What can Information Guess? Guessing Advantage vs. Rényi Entropy for Small Leakages
Julien Béguinot, Olivier Rioul
We leverage the Gibbs inequality and its natural generalization to Rényi entropies to derive closed-form parametric expressions of the optimal lower bounds of th-order guessing…