103 citations · 304 across the 40 of their papers we have counts for
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Non-commutative graphs in the Fock space over one-particle Hilbert space
G. G. Amosov, A. S. Mokeev
In the present paper we continue our study of non-commutative operator graphs in infinite-dimensional spaces. We consider examples of the non-commutative operator graphs generated…
Non-commutative graphs and quantum error correction for a two-mode quantum oscillator
G. G. Amosov, A. S. Mokeev, A. N. Pechen
An important topic in quantum information is the theory of error correction codes. Practical situations often involve quantum systems with states in an infinite dimensional Hilbert…
On definition of quantum tomography via the Sobolev embedding theorem
G. G. Amosov, Ya. A. Korennoy
We obtain sufficient conditions on kernels of quantum states under which Wigner functions, optical quantum tomograms and linking their formulas are correctly defined. Our approach…
On linear structure of non-commutative operator graphs
G. G. Amosov, A. S. Mokeev
We continue the study of non-commutative operator graphs generated by resolutions of identity covariant with respect to unitary actions of the circle group and the Heisenber-Weyl g…