4 papers
Diameter bounds for finite simple Lie algebras
Marco Barbieri, Urban Jezernik, Matevž MiÅ¡ÄiÄ
We prove strong and explicit diameter bounds for finite simple Lie algebras, which parallel Babai's conjecture for finite simple groups. Specifically, we show that any nonabelian f…
Noisy dynamics of confined quantum walks on a chip
L. Sansoni, E. Stefanutti, C. Benedetti +8
Quantum walks represent an excellent testbed for investigating the interplay between unitary coherent and incoherent dissipative processes. Thanks to photonic quantum interferomete…
Quasirandom and quasisimple groups
Marco Barbieri, Luca Sabatini
Fix . We say that a finite group is -quasirandom if every nontrivial irreducible complex representation of has degree at least $|G|^\varepsilo…
Flexible -valent graphs of even girth
Marco Barbieri, Andoni Zozaya
We prove the existence of a connected flexible -valent vertex-transitive graph of girth for every integer . We also give a constructive proof if is prime.