Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physica Scripta

Bipartite quantum discord in a multiqubit spin chain

Andrey Yu. Chernyavskiy, Serge I. Doronin, Edward B. Fel’dman

Published Apr 1, 2014• 10 citations
Publisher

Abstract

For the first time, we compute the quantum discord in bipartite systems containing up to nine qubits. An analytical expression is obtained for the discord in a bipartite system with three qubits. The dependence of the discord on the temperature and the structural parameter of the model is studied.
DOI
10.1088/0031-8949/2014/t160/014007

Related papers

Calculation of the quantum discord in many-qubit systems

Andrey Yu. Chernyavskiy, Serge I. Doronin, Edward B. Fel’dman

For the first time, we compute the quantum discord in bipartite systems containing up to nine qubits. An analytical expression is obtained for the discord in a bipartite system with three qubits. The dependence of the discord on the temperature and the structural parameter of the model is studied.

arXiv:1306.3363•Jun 14, 2013•1 citation

Quantum discord for multiqubit systems

Bo Li, Chen-Lu Zhu, Xiao-Bin Liang +2 more

We evaluate analytically the quantum discord for a large family of multiqubit states. It is interesting to note that the quantum discord of three qubits and five qubits is the same, as is the quantum discord of two qubits and six qubits. We discover that the quantum discord of this family of states can be classified into three categories. The level surfaces of the quantum discord in the three categories are shown through images. Furthermore, we investigated the dynamic behavior of quantum discord under decoherence. For the odd partite systems, we prove the frozen phenomenon of quantum discord does not exist under the phase flip channel, while it can be found in the even partite systems.

arXiv:2104.11378•Physical Review A•Jul 29, 2021•29 citations

Quantum correlations in a bipartite multiqubit spin ring system

Serge I. Doronin, Edward B. Fel’dman, E. I. Kuznetsova

We consider a spin ring with an arbitrary number of spins on the ring and one spin in its center in a strong external magnetic field.The spins on the ring are connected by the secular dipole-dipole interactions and interact with the central spin through the Heisenberg zz-interaction.We show that the quantum discord, describing quantum correlations between the ring and the central spin, can be obtained analytically for an arbitrary number of the spins in the high-temperature approximation.We demonstrate the evolution of quantum correlations at different numbers of the spins.The contributions of longitudinal and transversal spin interactions to the quantum discord are discussed.

Physica Scripta•Jun 1, 2015•1 citation

Effective computation of quantum discord in a multiqubit spin chain

Andrey Yu. Chernyavskiy

Quantum discord is a non-classical correlation beyond quantum entanglement, which is a possible resource for quantum information technologies. The computation of quantum discord is a difficult problem due to the necessity of global optimization. We present the original semi-algebraic method for the effective computation of discord in the multi-qubit spin chain interacting with the impurity spin. We use the random mutations algorithm in a non-standard way: not for the minimization, but for the verification of inequalities. More specifically, we use it to check the constancy condition of the minimum of conditional entropy. After that, the discord can be calculated effectively by the algebraic procedures, and we construct the discord surface for different values of the structural parameter of the model. The considered approach for the verification of inequalities by global optimization algorithms can be used in a wide variety of applications, especially, in the theory of quantum correlations, which contains a lot of definitions based on minimums and maximums.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Dec 30, 2016•0 citations

Entanglement of formation and quantum discord in multipartite j-spin coherent states

H. Baba, W. Kaydi, Mohammed Daoud A +1 more

We study the entanglement of formation and the quantum discord contained in even and odd multipartite [Formula: see text]-spin coherent states. The key element of this investigation is the fact that a single [Formula: see text]-spin coherent state is viewed as comprising [Formula: see text] qubit states. We compute the quantum correlations present in the n even and odd [Formula: see text]-spin coherent states by considering all possible bipartite splits of the multipartite system. We discuss the different bi-partition schemes of quantum systems and we examine in detail the conservation rules governing the distribution of quantum correlations between the different qubits of the multipartite system. Finally, we derive the explicit expressions of quantum correlations present in even and odd spin coherent states decomposed in four spin sub-systems. We also analyze the properties of monogamy and we show in particular that the entanglement of the formation and the quantum discord obey the relation of monogamy only for even multipartite [Formula: see text]-spin coherent states.

International Journal of Modern Physics B•Oct 2, 2020•6 citations

Quantum discord for two-qubit X states

Mazhar Ali, A. R. P. Rau, G. Alber

Quantum discord, a kind of quantum correlation, is defined as the difference between quantum mutual information and classical correlation in a bipartite system. In general, this correlation is different from entanglement, and quantum discord may be nonzero even for certain separable states. Even in the simple case of bipartite quantum systems, this different kind of quantum correlation has interesting and significant applications in quantum information processing. So far, quantum discord has been calculated explicitly only for a rather limited set of two-qubit quantum states and expressions for more general quantum states are not known. In this article, we derive explicit expressions for quantum discord for a larger class of two-qubit states, namely, a seven-parameter family of so called $X$ states that have been of interest in a variety of contexts in the field. We also study the relation between quantum discord, classical correlation, and entanglement for a number of two-qubit states to demonstrate that they are independent measures of correlation with no simple relative ordering between them.

arXiv:1002.3429•Physical Review A•Apr 12, 2010•835 citations
We evaluate analytically the quantum discord for a large family of multiqubit states. It is interesting to note that the quantum discord of three qubits and five qubits is the same, as is the quantum discord of two qubits and six qubits. We discover that the quantum discord of this family of states can be classified into three categories. The level surfaces of the quantum discord in the three categories are shown through images. Furthermore, we investigated the dynamic behavior of quantum discord under decoherence. For the odd partite systems, we prove the frozen phenomenon of quantum discord does not exist under the phase flip channel, while it can be found in the even partite systems.
We consider a spin ring with an arbitrary number of spins on the ring and one spin in its center in a strong external magnetic field.The spins on the ring are connected by the secular dipole-dipole interactions and interact with the central spin through the Heisenberg zz-interaction.We show that the quantum discord, describing quantum correlations between the ring and the central spin, can be obtained analytically for an arbitrary number of the spins in the high-temperature approximation.We demonstrate the evolution of quantum correlations at different numbers of the spins.The contributions of longitudinal and transversal spin interactions to the quantum discord are discussed.
Quantum discord is a non-classical correlation beyond quantum entanglement, which is a possible resource for quantum information technologies. The computation of quantum discord is a difficult problem due to the necessity of global optimization. We present the original semi-algebraic method for the effective computation of discord in the multi-qubit spin chain interacting with the impurity spin. We use the random mutations algorithm in a non-standard way: not for the minimization, but for the verification of inequalities. More specifically, we use it to check the constancy condition of the minimum of conditional entropy. After that, the discord can be calculated effectively by the algebraic procedures, and we construct the discord surface for different values of the structural parameter of the model. The considered approach for the verification of inequalities by global optimization algorithms can be used in a wide variety of applications, especially, in the theory of quantum correlations, which contains a lot of definitions based on minimums and maximums.
We study the entanglement of formation and the quantum discord contained in even and odd multipartite [Formula: see text]-spin coherent states. The key element of this investigation is the fact that a single [Formula: see text]-spin coherent state is viewed as comprising [Formula: see text] qubit states. We compute the quantum correlations present in the n even and odd [Formula: see text]-spin coherent states by considering all possible bipartite splits of the multipartite system. We discuss the different bi-partition schemes of quantum systems and we examine in detail the conservation rules governing the distribution of quantum correlations between the different qubits of the multipartite system. Finally, we derive the explicit expressions of quantum correlations present in even and odd spin coherent states decomposed in four spin sub-systems. We also analyze the properties of monogamy and we show in particular that the entanglement of the formation and the quantum discord obey the relation of monogamy only for even multipartite [Formula: see text]-spin coherent states.
Quantum discord, a kind of quantum correlation, is defined as the difference between quantum mutual information and classical correlation in a bipartite system. In general, this correlation is different from entanglement, and quantum discord may be nonzero even for certain separable states. Even in the simple case of bipartite quantum systems, this different kind of quantum correlation has interesting and significant applications in quantum information processing. So far, quantum discord has been calculated explicitly only for a rather limited set of two-qubit quantum states and expressions for more general quantum states are not known. In this article, we derive explicit expressions for quantum discord for a larger class of two-qubit states, namely, a seven-parameter family of so called XXX states that have been of interest in a variety of contexts in the field. We also study the relation between quantum discord, classical correlation, and entanglement for a number of two-qubit states to demonstrate that they are independent measures of correlation with no simple relative ordering between them.