30 citations · 51 across the 12 of their papers we have counts for
12 papers
On quantum symmetries of graphs
Olha Ostrovska, Vasyl Ostrovskyi, Lyudmila Turowska
Let be a simple finite graph, and let be the related quantum graph. We study the game algebra of quantum automorphism of $\mathca…
On -tensor products of Cuntz algebras
Alexey Kuzmin, Vasyl Ostrovskyi, Danylo Proskurin +2
We consider the -algebra , which is a -twist of two Cuntz-Toeplitz algebras. For the case , we give an explicit formula which untwists the -d…
A class of representations of -algebra generated by -commuting isometries
Olha Ostrovska, Vasyl Ostrovskyi, Danylo Proskurin +1
For -algebra generated by a finite family of isometries , satisfying -commutation relations \[ s_j^* s_j = I, \quad s_j^* s_k = q_{ij}s_ks_j^*, \qqu…
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…
On -tensor product of Cuntz algebras
Alexey Kuzmin, Vasyl Ostrovskyi, Danylo Proskurin +1
We consider -algebra , which is a -twist of two Cuntz-Toeplitz algebras. For the case we give an explicit formula, which untwists the -defor…
Some remarks on Hilbert representations of posets
Vasyl Ostrovskyi, Slavik Rabanovich
For a certain class of finite posets, we prove that all their irreducible orthoscalar representations are finite-dimensional and describe those, for which there exist essential (no…