3 papers
quant-ph2026
Cryptanalysis of four arbitrated quantum signature schemes
Pierre-Alain Jacqmin, Jean Liénardy
Arbitrated quantum signature (AQS) schemes aim at ensuring the authenticity of a message with the help of an arbitrator. Moreover, they aim at preventing repudiation, both from a s…
math.CT2024
Partial algebras and implications of (weak) matrix properties
Michael Hoefnagel, Pierre-Alain Jacqmin
Matrix properties are a type of property of categories which includes the ones of being Mal'tsev, arithmetical, majority, unital, strongly unital and subtractive. Recently, an algo…
math.CT2024
A syntactic characterization of weakly Mal'tsev varieties
Nadja Egner, Pierre-Alain Jacqmin, Nelson Martins-Ferreira
The notion of a weakly Mal'tsev category, as it was introduced in 2008 by the third author, is a generalization of the classical notion of a Mal'tsev category. It is well-known tha…