4 papers
RotorMap and Quantum Fingerprints of DNA Sequences via Rotary Position Embeddings
Danylo Yakymenko, Maksym Chernyshev, Illia Savchenko +1
For strings of letters from a small alphabet, such as DNA sequences, we present a quantum encoding that empirically provides a strong correlation between the Levenshtein edit dista…
SICs and the Triangle Group
Danylo Yakymenko
The problem of existence of symmetric informationally-complete positive operator-valued measures (SICs for short) in every dimension is known as Zauner's conjecture and remains ope…
On the continuous Zauner conjecture
Danylo Yakymenko
In a recent paper by S. Pandey, V. Paulsen, J. Prakash, and M. Rahaman, the authors studied the entanglement breaking quantum channels $Φ_t:\mathbb{C}^{d\times d} \to \mathbb{C}^{d…
Geometric properties of SIC-POVM tensor square
Vasyl Ostrovskyi, Danylo Yakymenko
It's known that if vectors from -dimensional Hilbert space form a SIC-POVM (SIC for short) then tensor square of those vectors form an equiangular tight frame on the s…