D'aniel Varga

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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 $C^{d}$ each MUB-triplet is characterized by a $d \times d \times d$ object that…

math.CO2024

Piercing intersecting convex sets

Imre Bárány, Travis Dillon, Dömötör Pálvölgyi +1

Assume two finite families $A$ and $B$ of convex sets in $R^{3}$ have the property that $A \cap B \neq = \emptyset$ for every $A \in A$ and $B\in \math…