bibkey: lamihircheadessowinter2017logdet authors: Ludovico Lami; Christoph Hirche; Gerardo Adesso; Andreas Winter year: 2017 title: From log-determinant inequalities to Gaussian entanglement via recoverability theory doi: 10.1109/TIT.2017.2737546 url: https://arxiv.org/abs/1703.06149 claim: The classical finite Gaussian part gives entropy and determinant mutual-information formulas with positive-definite covariance and independent added Gaussian noise. strata_touched: [] license: citation-only triage: anchor

Classical Gaussian determinant information

The classical discussion on arXiv:1703.06149v2, pages 1–2, equations (1)–(3) and (8)–(10), uses natural logarithms and finite positive-definite real covariances. The stated channel adds independent Gaussian noise. The later quantum statements have additional uncertainty hypotheses and are not used by the source15 application.

The continuation applies the determinant identity to one common base Gaussian and two explicitly calibrated noisy readouts. It does not identify that classical mutual information with quantum coherence or with an unrestricted information-recovery protocol.