103 citations · 304 across the 40 of their papers we have counts for
32 papers · 1 filter
On the construction of a quantum channel corresponding to non-commutative graph for a qubit interacting with quantum oscillator
G. G. Amosov, A. S. Mokeev, A. N. Pechen
We consider error correction, based on the theory of non-commutative graphs, for a model of a qubit interacting with quantum oscillator. The dynamics of the composite system is gov…
On constructing informationally complete covariant positive operator-valued measures
Grigori Amosov
We study positive operator-valued measures generated by orbits of projective unitary representations of locally compact Abelian groups. It is shown that integration over such a mea…
On quantum channels generated by covariant positive operator-valued measures on a locally compact group
Grigori Amosov
We introduce positive operator-valued measure (POVM) generated by the projective unitary representation of a direct product of locally compact Abelian group with its dual $\hat…
On quantum tomography on locally compact groups
Grigori Amosov
We introduce quantum tomography on locally compact Abelian groups . A linear map from the set of quantum states on the -algebra generated by the projective unitary r…
Non-commutative graphs based on finite-infinite system couplings: quantum error correction for a qubit coupled to a coherent field
G. G. Amosov, A. S. Mokeev, A. N. Pechen
Quantum error correction plays a key role for quantum information transmission and quantum computing. In this work, we develop and apply the theory of non-commutative operator grap…
On capacity of quantum channels generated by irreducible projective unitary representations of finite groups
Grigori Amosov
We study mixed unitary quantum channels generated by irreducible projective unitary representations of finite groups. Under some assumptions on the probability distribution determi…