Quantum discord and multipartite correlations

Abstract

Recently, it was realized that quantum discord can be seen as the minimal amount of correlations which are lost when some local quantum operations are performed. Based on this formulation of quantum discord, we provide a systematical analysis of quantum and classical correlations present in both bipartite and multipartite quantum systems. As a natural result of this analysis, we introduce a new measure of the overall quantum correlations which is lower bounded by quantum discord.

7 pages

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Cited by in corpus (33)

• The classical-quantum boundary for correlations: discord and related measures
• Quantum discord and its allies: a review
• Conditions for Monogamy of Quantum Discord: Greenberger-Horne-Zeilinger versus W states
• Exploring multipartite quantum correlations with the square of quantum discord
• A multipartite generalization of quantum discord
• Monogamy of Quantum Discord by Multipartite Correlations
• Global Quantum discord of multi-qubit states
• General monogamy property of global quantum discord and the application
• Geometric Measure of Pairwise Quantum Discord for Superpositions of Multipartite Generalized Coherent States
• Light Cone-Like Behavior of Quantum Monogamy Score and Multisite Entanglement
• Maximally dense coding capable quantum states
• Coherence, entanglement and quantumness in closed and open systems with conserved charge, with an application to many-body localisation
• Decoherence dynamics of geometric measure of quantum discord and measurement-induced nonlocality for noninertial observers at finite temperature
• Genuine multipartite system-environment correlations in decoherent dynamics
• Quantum correlation entropy
• Analytical expression of Genuine Tripartite Quantum Discord for Symmetrical X-states
• Generalized Entropy and Global Quantum Discord in Multi-party Quantum systems
• Multipartite Quantum Correlations in Open Quantum Systems
• Dynamics of multipartite quantum correlations under decoherence
• Monogamy deficit for quantum correlation in multipartite quantum system
• Global quantum discord and quantum phase transition in XY model
• Multipartite quantum correlations in even and odd spin coherent states
• Maxwell's demons in multipartite quantum correlated systems
• Geometric global quantum discord
• Quantum discords of tripartite quantum systems
• Quantum correlations in qutrit-qutrit systems under local quantum noise channels
• Detecting genuine multipartite correlations in terms of the rank of coefficient matrix
• Geometric measure of quantum discord and total quantum correlations in a N-partite quantum state
• Dynamics and Quantum correlations in Two independently driven Rydberg atoms with distinct laser fields
• Quantum mutual information and quantumness vectors for multi-qubit systems
• Multipartite Generalization of Geometric measure of Discord
• Quantum Coherence Bounds the Distributed Discords
• Computable Measure of Total Quantum Correlation of Multipartite Systems