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Large deviation analysis for quantum security via smoothing of Renyi entropy of order 2

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arxiv 1202.0322 v6 pith:GYAP2U6W submitted 2012-02-01 quant-ph cs.CRcs.ITmath.IT

classification quant-phcs.CRcs.ITmath.IT
keywords applyentropyorderquantumsecuritysmoothinganalysisclassical
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abstract

It is known that the security evaluation can be done by smoothing of R\'{e}nyi entropy of order 2 in the classical and quantum settings when we apply universal$_2$ hash functions. Using the smoothing of Renyi entropy of order 2, we derive security bounds for $L_1$ distinguishability and modified mutual information criterion under the classical and quantum setting, and have derived these exponential decreasing rates. These results are extended to the case when we apply $\varepsilon$-almost dual universal$_2$ hash functions. Further, we apply this analysis to the secret key generation with error correction.

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  1. The Quantum Mechanics of Rare Events: From Quantum Walks to Stochastic Inflation

    hep-th 2026-08 conditional novelty 5.0 of 10

    Rare fluctuations in quantum walks are ruled by a measurement-induced relative entropy, and applying this to stochastic inflation yields a steady state that violates detailed balance.

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