45 citations · 66 across the 17 of their papers we have counts for
19 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…
Generalizing Stratonovich-Weyl axioms for composite systems
Arsen Khvedelidze
The statistical model of quantum mechanics is based on the mapping between operators on the Hilbert space and functions on the phase space. This map can be implemented by an operat…
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…
On overall measure of non-classicality of -level quantum system and its universality in the large limit
Vahagn Abgaryan, Arsen Khvedelidze, Ilya Rogojin
In this report we are aiming at introducing a global measure of non-classicality of the state space of -level quantum systems and estimating it in the limit of large . For th…
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 generation of random ensembles of qubits and qutrits Computing separability probabilities for fixed rank states
Arsen Khvedelidze, Ilia Rogojin
The question of the generation of random mixed states is discussed, aiming for the computation of probabilistic characteristics of composite finite dimensional quantum systems. Par…
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…
On the family of Wigner functions for N-level quantum system
Arsen Khvedelidze, Vahagn Abgaryan
The family of unitary non-equivalent Weyl-Stratonovich kernels determining the Wigner probability distribution function of an arbitrary N-level quantum system is constructed.
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…
On cosmological perturbations in FRW model with scalar field and false vacuum decay
Arsen Khvedelidze, George Lavrelashvili, Takahiro Tanaka
The unconstrained reduced action corresponding to the dynamics of scalar fluctuations about the Friedmann-Robertson-Walker (FRW) background is derived using Dirac's method of descr…
Zero Modes of Gauss' Constraint in Gaugeless Reduction of Yang - Mills Theory
A. Khvedelidze, V. Pervushin
The physical variables for pure Yang - Mills theory in four - dimensional Minkowskian space time are constructed without using a gauge fixing condition} by the explicit resolving o…