22 citations · 283 across the 42 of their papers we have counts for
43 papers · 1 filter
A Three-Party W-State Quantum Secret Sharing Protocol with X-Gate Encoding and Forbidden-Outcome Detection
Timur R. Teregulov, Elena R. Loubenets
We develop a new three-party quantum secret-sharing (QSS) protocol based on a three-qubit W state. This protocol encodes the secret-sequence bits using X gates and employs randomly…
New bound on -setting Bell locality of a nonseparable Werner state
Elena R. Loubenets
In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers $S_…
Modelling optimal implementation of an arbitrary -qubit quantum gate within the generalized Bloch vectors formalism
Elena R. Loubenets, Sergey Kuznetsov
The optimal implementation of quantum gates for closed -qubit systems is one of the key challenges for practical realization of many quantum information processing tasks. In the…
Nonviolation of the CHSH inequality under local spin-1 measurements on two spin qutrits
Louis Hanotel, Elena R. Loubenets
In the present paper, based on the general analytical expression [arXiv:2412.03470] for the maximum of the CHSH expectation under local Alice and Bob spin- measurements in a two…
High-spin measurements in an arbitrary two-qudit state
Elena R. Loubenets, Louis Hanotel
Violation of the CHSH inequality by a bipartite quantum state is now used in many quantum applications. However, the explicit analytical expression for the maximal value of the CHS…
Geometric quantum discord of an arbitrary two-qudit state: the exact value and general upper bounds
Elena R. Loubenets, Louis Hanotel
The geometric quantum discord of a two-qudit state has been studied in many papers, however, its exact analytical value in the explicit form is known only for a general two-qubit s…
Quantifying Bell nonlocality of a pure two-qudit state via its entanglement
Elena R. Loubenets, Sergey Kuznetsov, Louis Hanotel
For the maximal violation of all Bell inequalities by an arbitrary pure two-qudit state of any dimension, we derive a new lower bound expressed via the concurrence of this pure sta…
Specifying nonlocality of a pure bipartite state and analytical relations between measures for bipartite nonlocality and entanglement
Elena R. Loubenets, Min Namkung
For a multipartite quantum state, the maximal violation of all Bell inequalities constitutes a measure of its nonlocality [Loubenets, J. Math. Phys. 53, 022201 (2012)]. In the pres…
Violation of general Bell inequalities by a pure bipartite quantum state
Elena R. Loubenets, Min Namkung
In the present article, based on the formalism introduced in [Loubenets, J. Math. Phys. 53, 022201 (2012)], we derive for a pure bipartite quantum state a new upper bound on its ma…
New general lower and upper bounds under minimum-error quantum state discrimination
Elena R. Loubenets
For the optimal success probability under minimum-error discrimination between arbitrary quantum states prepared with any a priori probabilities, we find new general analy…
Two-sequential Conclusive Discrimination between Binary Coherent States via Indirect Measurements
Min Namkung, Elena R. Loubenets
A general scenario for an -sequential conclusive state discrimination introduced recently in Loubenets and Namkung [arXiv:2102.04747] can provide a multipartite quantum communic…
The Bloch vectors formalism for a finite-dimensional quantum system
Elena R. Loubenets, Maxim S. Kulakov
In the present article, we consistently develop the main issues of the Bloch vectors formalism for an arbitrary finite-dimensional quantum system. In the frame of this formalism, q…
Conclusive discrimination by sequential receivers between arbitrary quantum states
Elena R. Loubenets, Min Namkung
In the present article, we develop a general framework for the description of discrimination between quantum states by sequential receivers in the case where each…
Specifying the unitary evolution of a qudit for a general nonstationary Hamiltonian via the generalized Gell-Mann representation
Elena R. Loubenets, Christian Käding
Optimal realizations of quantum technology tasks lead to the necessity of a detailed analytical study of the behavior of a -level quantum system (qudit) under a time-dependent H…
Quantum analog of the original Bell inequality for two-qudit states with perfect correlations/anticorrelations
Elena R. Loubenets, Andrei Y. Khrennikov
For an even qudit dimension we introduce a class of two-qudit states exhibiting perfect correlations/anticorrelations and prove via the generalized Gell-Mann representat…
The generalized Gell-Mann representation and violation of the CHSH inequality by a general two-qudit state
Elena R. Loubenets
We formulate and prove the main properties of the generalized Gell-Mann representation for traceless qudit observables with eigenvalues in and analyze via this representat…
Evaluating the Maximal Violation of the Original Bell Inequality by Two-Qudit States Exhibiting Perfect Correlations/Anticorrelations
Andrei Y. Khrennikov, Elena R. Loubenets
We introduce the general class of symmetric two-qubit states guaranteeing the perfect correlation or anticorrelation of Alice and Bob outcomes whenever some spin observable is meas…
Quantifying tolerance of a nonlocal multi-qudit state to any local noise
Elena R. Loubenets
We present a general approach for quantifying tolerance of a nonlocal N-partite state to any local noise under different classes of quantum correlation scenarios with arbitrary num…
Bell's nonlocality in a general nonsignaling case: quantitatively and conceptually
Elena R. Loubenets
Quantum violation of Bell inequalities is now used in many quantum information applications and it is important to analyze it both quantitatively and conceptually. In the present p…
New concise upper bounds on quantum violation of general multipartite Bell inequalities
Elena R. Loubenets
Last years, bounds on the maximal quantum violation of general Bell inequalities were intensively discussed in the literature via different mathematical tools. In the present paper…
Full Bell locality of a noisy state for nonlocally entangled qudits
Elena R. Loubenets
Bounds, expressed in terms of d and N, on full Bell locality of a quantum state for nonlocally entangled qudits (of a dimension ) mixed with white noise are know…
On the existence of a local quasi hidden variable (LqHV) model for each N-qudit state and the maximal quantum violation of Bell inequalities
Elena R. Loubenets
We specify the local quasi hidden variable (LqHV) model reproducing the probabilistic description of all N-partite joint von Neumann measurements on an N-qudit state. Via this loca…
Context-invariant and local quasi hidden variable (qHV) modelling versus contextual and nonlocal HV modelling
Elena R. Loubenets
For all the joint von Neumann measurements on a D-dimensional quantum system, we present the specific example of a context-invariant quasi hidden variable (qHV) model, proved in [L…
Context-invariant quasi hidden variable (qHV) modelling of all joint von Neumann measurements for an arbitrary Hilbert space
Elena R. Loubenets
We prove the existence for each Hilbert space of the two new quasi hidden variable (qHV) models, statistically noncontextual and context-invariant, reproducing all the von Neumann…