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Log-Quadratic Bounds for the Gaussian Q-function

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arxiv 1304.2488 v1 pith:CUWZZV7Q submitted 2013-04-09 math.PR

classification math.PR
keywords q-functionboundsgaussianlog-quadraticabsoluteanalyticalapproximationapproximations
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abstract

We present bounds of quadratic form for the logarithm of the Gaussian Q-function. We also show an analytical method for deriving log-quadratic approximations of the Q-function and give an approximation with absolute error less than $10^{-3}$.

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Cited by 2 Pith papers

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

  1. Quantum Key Distribution Beyond Stationary Channels

    quant-ph 2026-07 conditional novelty 7.0 of 10

    New interval-mixture martingale bounds give robust non-IID concentration inequalities that reduce the required number of satellite-QKD signals by up to ~70% under channel-loss mismatch.

  2. Sharp Guarantees for Solving Random Equations with One-Bit Information

    math.ST 2019-08 conditional novelty 7.0 of 10

    For Gaussian one-bit measurements, the correlation of any convex-loss estimator is sharply predicted by a system of three equations, yielding new per-estimator comparisons and an optimality bound.

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