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How much secure randomness is in a quantum state?

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arxiv 2410.16447 v2 pith:HIDAKUS7 submitted 2024-10-21 quant-ph

classification quant-ph
keywords quantumrandomnessratesextractiongenerationmuchqrngsecure
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How much cryptographically-secure randomness can be extracted from a quantum state? This fundamental question probes the absolute limits of quantum random number generation (QRNG) and yet, despite the technological maturity of QRNGs, it remains unsolved. In this work we consider a general adversarial model that allows for an adversary who has quantum side-information about both the source and the measurement device. Using links between randomness extraction rates and sandwiched R\'enyi entropies, we provide compact, easy to compute, achievable rates of secure randomness extraction from quantum states. In turn, this provides a simple to evaluate benchmarking tool for the randomness generation rates of QRNG protocols.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Maximal intrinsic randomness of noisy quantum measurements

    quant-ph 2025-06 accept novelty 7.0 of 10

    Any two-outcome qubit measurement and any white-noise-affected projective measurement have exact, closed-form maximal intrinsic randomness, given by formulas in terms of the trace of the square root of one POVM element.

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