3 papers
quant-ph2026
Space-sharing and Singleton Bounds for Entanglement-assisted Classical Coding
Yuhang Yao, Tushita Prasad, Markus Grassl +2
Recent work has noted that a space-sharing argument proves the tightness of the entropic quantum Singleton bounds, which was left open in the literature for various settings involv…
math.CO2026
The punctured dodecacode is unique
Markus Grassl, Denis Krotov, Lin Sok +1
The punctured dodecacode is an additive -ary code of length and distance which is uniformly packed. We show that a code with the same weight distribution is equivalent…
quant-ph2025
A Conjecture on Almost Flat SIC-POVMs
Ingemar Bengtsson, Markus Grassl
A well supported conjecture states that SIC-POVMs -- maximal sets of complex equiangular lines -- with anti-unitary symmetry give rise to an identity expressing some of its overlap…