3 papers
math-ph2025
Intrinsic volumes of the quantum state space and mutually unbiased bases
Zsombor Szilágyi, Mihály Weiner
Previous studies on the geometrical properties of the state space of a finite-level quantum system have determined its volume and surface area. Building on this foundation, we deri…
math.CO2025
Triplets of Mutually Unbiased Bases
Máte Matolcsi, Ákos K. Matszangosz, Dániel Varga +1
We initiate a systematic study of triplets of mutually unbiased bases (MUBs). We show that in each MUB-triplet is characterized by a object that…
quant-ph2025
Error bounds for composite quantum hypothesis testing and a new characterization of the weighted Kubo-Ando geometric means
Péter E. Frenkel, Milán Mosonyi, Péter Vrana +1
The optimal error exponents of binary composite i.i.d. state discrimination are trivially bounded by the worst-case pairwise exponents of discriminating individual elements of the…