David Fabian

activity

20242026

collaborators

5 papers

quant-ph2026

A logarithmic phase singularity at the heart of Landau-Zener transitions

Eric P. Glasbrenner, David Fabian, Wolfgang P. Schleich

Three ingredients of the elementary Landau-Zener problem determine the familiar expression $a_{L Z} \equiv exp [- I ¨ / (2 I^µ)]$ for the asymptotic value of the probability ampl…

math.CO2026

Graph bootstrap percolation -- a discovery of slowness

David Fabian, Patrick Morris, Tibor SzabÃ³

Graph bootstrap percolation is a discrete-time process capturing the spread of a virus on the edges of $K_{n}$ . Given an initial set $G \subseteq K_{n}$ of infected edges, the transmiss…

quant-ph2026

Advanced Quantum Communication and Quantum Networks -- From basic research to future applications

BjÃ¶rn Kubala, Alexander Sauer, Alessandro Tarantola +7

Classical communication is the basis for many of our current and future technologies, such as mobile phones, video conferences, autonomous vehicles and particularly the internet. I…

math.CO2025

Slow graph bootstrap percolation III: Chain constructions

David Fabian, Patrick Morris, Tibor SzabÃ³

For graphs $H$ , we study the extremal function $M_{H} (n)$ which is the maximum running time (until stabilisation) of an $H$ -bootstrap percolation process on $n$ vertices. Building on…

math.CO2024

Slow graph bootstrap percolation II: Accelerating properties

David Fabian, Patrick Morris, Tibor SzabÃ³

For a graph $H$ and an $n$ -vertex graph $G$ , the $H$ -bootstrap process on $G$ is the process which starts with $G$ and, at every time step, adds any missing edges on the vertices o…