9 citations · 26 across the 9 of their papers we have counts for
9 papers
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…
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 errors generated by unitary dynamics of bipartite quantum systems
G. G. Amosov, A. S. Mokeev
Given a quantum channel it is possible to define the non-commutative operator graph whose properties determine a possibility of error-free transmission of information via this chan…
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 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…