5 citations · 7 across the 11 of their papers we have counts for
13 papers
X-states of a qubit pair of double classicality
Arsen Khvedelidze, Dimitar Mladenov, Astghik Torosyan
A special class of states of 2-qubits which are simultaneously separable and have positive semidefinite Wigner functions is described.
Towards parameterizing the entanglement body of a qubit pair
Arsen Khvedelidze, Dimitar Mladenov, Astghik Torosyan
A method allowing to increase a computational efficiency of evaluation of non-local characteristics of a pair of qubits is described. The method is based on the construction of coo…
One other parameterization of SU(4) group
Arsen Khvedelidze, Dimitar Mladenov, Astghik Torosyan
We propose a special decomposition of the Lie algebra into the direct sum of orthogonal subspaces, $\mathfrak{su}(4)=\mathfrak{k}\oplus\mathfrak{a}\oplus\mathfra…
On the hierarchy of classicality and symmetry of quantum states
Arsen Khvedelidze, Astghik Torosyan
The interrelation between classicality/quantumness and symmetry of states is discussed within the phase-space formulation of finite-dimensional quantum systems. We derive represent…
On the nonclassicality distance indicator of qudits
Arsen Khvedelidze, Astghik Torosyan
We consider the nonclassicality distance indicator of a state in finite-dimensional quantum systems which is evaluating a state nonclassicality by its remoteness from the set of "c…
Comparing classicality of qutrits from Hilbert-Schmidt, Bures and Bogoliubov-Kubo-Mori ensembles
Arsen Khvedelidze, Astghik Torosyan
In the report we analyze the indicator/measure of classicality of quantum states defined as the probability to find a state with a positive Wigner function within a unitary invaria…
Parameterizing Qudit States
Arsen Khvedelidze, Dimitar Mladenov, Astghik Torosyan
Quantum systems with a finite number of states at all times have been a primary element of many physical models in nuclear and elementary particle physics, as well as in condensed…
Kenfack Zyczkowski indicator of nonclassicality for two non-equivalent representations of Wigner function of qutrit
Vahagn Abgaryan, Arsen Khvedelidze, Astghik Torosyan
The Wigner function of a finite-dimensional system can be constructed via dual pairing of a density matrix with the Stratonovich-Weyl kernel. Following Kenfack and …
On measures of classicality/quantumness in quasiprobability representations of finite-dimensional quantum systems
N. Abbasli, V. Abgaryan, M. Bures +3
In the present report we discuss measures of classicality/quantumness of states of finite-dimensional quantum systems, which are based on a deviation of quasiprobability distributi…
The global indicator of classicality of an arbitrary -level quantum system
Vahagn Abgaryan, Arsen Khvedelidze, Astghik Torosyan
It is commonly accepted that a deviation of the Wigner quasiprobability distribution of a quantum state from a proper statistical distribution signifies its nonclassicality. Follow…
On moduli space of the Wigner quasiprobability distributions for -dimensional quantum systems
Vahagn Abgaryan, Arsen Khvedelidze, Astghik Torosyan
A mapping between operators on the Hilbert space of -dimensional quantum system and the Wigner quasiprobability distributions defined on the symplectic flag manifold is discusse…
On the stratifications of 2-qubits X-state space
Arsen Khvedelidze, Astghik Torosyan
The 7-dimensional family of so-called mixed X-states of 2-qubits is considered. Two types of stratification of 2-qubits state space, i.e., partitions of $\math…
Spectrum and separability of mixed 2-qubit X-states
Arsen Khvedelidze, Astghik Torosyan
The separable mixed 2-qubit X-states are classified in accordance with degeneracies in the spectrum of density matrices. It is shown that there are four classes of separable X-stat…