3 papers
quant-ph2026
Geometric Classification of Biased Quantum Capacity via Harmonic Translation
Eliseo Sarmiento Rosales, Egor Maximenko, Dionisio Manuel Tun Molina +3
We establish an exact noise-model-derived characterization of quantum error correction under diagonal local phase noise. Under uniform locality, the maximal logical dimension under…
math.LO2026
Hindman and Owings-like theorems without the Axiom of Choice
José A. Guzmán-Vega, David J. Fernández Bretón, Eliseo Sarmiento Rosales
We investigate Hindman- and Owings-type Ramsey-theoretic statements in Zermelo-Fraenkel set theory without the Axiom of Choice, with some occasional extra assumptions (such as the…
math.LO2024
Owings-like theorems for infinitely many colours or finite monochromatic sets
David J. Fernández-Bretón, Eliseo Sarmiento Rosales, Germán Vera
Inspired by Owings's problem, we investigate whether, for a given an Abelian group and cardinal numbers , every colouring yields a subset $X\subseteq…