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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

Andrew Mastin , Patrick Jaillet This is my paper · ORCID
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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  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.

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