Entropy accumulation

F Dupuis, O Fawzi, R Renner - Communications in Mathematical Physics, 2020 - Springer
… A_n)\) corresponds to the sum of the entropies of its parts \(A_i\). … Here we show that entropy
accumulation occurs more … A_i\) by the von Neumann entropy of suitably chosen conditional …

Generalised entropy accumulation

T Metger, O Fawzi, D Sutter, R Renner - Communications in Mathematical …, 2024 - Springer
… It can be shown that for a suitable choice of \(\alpha \), the penalty terms we incur by switching
from the min-entropy to the Rényi entropy and then to the von Neumann entropy scale as \(…

Entropy accumulation with improved second-order term

F Dupuis, O Fawzi - IEEE Transactions on information theory, 2019 - ieeexplore.ieee.org
accumulation result in Section II-C. Section III then introduces the divergence variance …
Rényi entropy in terms of the von Neumann entropy, and then apply it to the entropy accumulation

Practical device-independent quantum cryptography via entropy accumulation

R Arnon-Friedman, F Dupuis, O Fawzi… - Nature …, 2018 - nature.com
… Here we present a property of entropy, termed “entropy accumulation”, which asserts that
the total amount of entropy of a large system is the sum of its parts. We use this property to …

Security of quantum key distribution from generalised entropy accumulation

T Metger, R Renner - Nature Communications, 2023 - nature.com
… Perhaps the most common of these are phase-error correction and entropic uncertainty …
For our security proof, we employ the generalised entropy accumulation theorem (GEAT), a …

Entropy generation and accumulation in biological systems

C Yildiz, AS Semerciöz… - … Journal of Exergy, 2020 - inderscienceonline.com
… as entropy accumulation within the cell. Nyström (2007), while discussing bacterial way of
aging discussed the sophisticated changes, which are referred to as ‘entropy accumulation’ in …

Entropy and the species accumulation curve: a novel entropy estimator via discovery rates of new species

A Chao, YT Wang, L Jost - Methods in Ecology and Evolution, 2013 - Wiley Online Library
… estimation method that links entropy to the species accumulation curve. We first show that
entropy is a simple function of the successive slopes of the species accumulation curve, which …

Bounds on Lyapunov exponents via entropy accumulation

D Sutter, O Fawzi, R Renner - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
… By establishing a link between Lyapunov exponents and an information theoretic tool called
entropy accumulation theorem we derive an upper and a lower bound for the maximal and …

Marginal-constrained entropy accumulation theorem

A Arqand, EYZ Tan - arXiv preprint arXiv:2502.02563, 2025 - arxiv.org
… In particular, we derive a new variant of Rényi entropy accumulation, which not only allows
… of entropy accumulation, which we term the marginal-constrained entropy accumulation

[HTML][HTML] Assessment of entropy accumulation in human subjects when exposed to low energy availability

C Yildiz, K Köhler, P Wasserfurth, M Özilgen - Heliyon, 2024 - cell.com
… , entropy accumulation should be calculated to predict the lifespan of the body. The lifespan
entropy accumulation … based on entropy accumulation because entropy accumulation in the …