A multipartite generalization of quantum discord
arXiv:1909.08194 · doi:10.1103/PhysRevLett.124.110401
Abstract
A generalization of quantum discord to multipartite systems is proposed. A key feature of our formulation is its consistency with the conventional definition of discord in bipartite systems. It is by construction zero only for systems with classically correlated subsystems and is a non-negative quantity, giving a measure of the total non-classical correlations in the multipartite system with respect to a fixed measurement ordering. For the tripartite case, we show that the discord can be decomposed into contributions resulting from changes induced by non-classical correlation breaking measurements in the conditional mutual information and tripartite mutual information. The former gives a measure of the bipartite non-classical correlations and is a non-negative quantity, while the latter is related to the monogamy of the non-classical correlations.
arXiv commentAccepted for publication in Physical Review Letters
References in corpus (41)
- Introducing Quantum Discord
- Three qubits can be entangled in two inequivalent ways
- Classical, quantum and total correlations
- The classical-quantum boundary for correlations: discord and related measures
- Quantum discord and the power of one qubit
- Operational Resource Theory of Coherence
- Unified View of Quantum and Classical Correlations
- The operational meaning of min- and max-entropy
- The Resource Theory of Stabilizer Computation
- From Classical to Quantum Shannon Theory
- Gaussian quantum discord
- Quantum discord as resource for remote state preparation
- Negative entropy and information in quantum mechanics
- Quantum steering: a review with focus on semidefinite programming
- Quantum correlations in spin chains at finite temperatures and quantum phase transitions
- The resource theory of quantum reference frames: manipulations and monotones
- Quantum discord and quantum phase transition in spin chains
- Structure of states which satisfy strong subadditivity of quantum entropy with equality
- Measures and applications of quantum correlations
- Operational interpretations of quantum discord
- Global Quantum Discord in Multipartite Systems
- Classification of multi-qubit mixed states: separability and distillability properties
- Quantum coherence and geometric quantum discord
- Quantum Reverse Shannon Theorem
- Quantum discord and its allies: a review
- The exact cost of redistributing multipartite quantum states
- Quantum conditional operator and a criterion for separability
- Classifying directional Gaussian quantum entanglement, EPR steering and discord
- Genuine quantum and classical correlations in multipartite systems
- Optimal quantum source coding with quantum information at the encoder and decoder
- Entanglement of three-qubit Greenberger-Horne-Zeilinger-symmetric states
- Conditions for Monogamy of Quantum Discord: Greenberger-Horne-Zeilinger versus W states
- Nonclassical correlation in NMR quadrupolar systems
- Postulates for measures of genuine multipartite correlations
- Quantum Conditional Mutual Information, Reconstructed States, and State Redistribution
- Quantum discord as a resource in quantum communication
- Quantum discord and multipartite correlations
- Quantum Dissension: Generalizing Quantum Discord for Three-Qubit States
- Note on Separability of the Werner states in arbitrary dimensions
- Quantum state redistribution based on a generalized decoupling
- Calculation of quantum discord in arbitrary dimensions, especially for X- and other specialized states
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- Quantum Discord for multiqubit Systems
- Two-orbital quantum discord in fermion systems
- Bell correlations in a split two-mode-squeezed Bose-Einstein condensate
- Fragility of quantum correlations and coherence in a multipartite photonic system
- Imaginary time evolution with quantum nondemolition measurements: multi-qubit interactions via measurement nonlinearities
- Monogamy of quantum discord
- A-unital Operations and Quantum Conditional Entropy
- Quantum discords of tripartite quantum systems
- Complete monogamy of the multipartite quantum mutual information
- Entanglement and quantum discord in the cavity QED models
- Classical and quantum parts of conditional mutual information for open quantum systems
- Measuring multipartite quantum correlations by thermodynamic work extraction
- Multipartite Generalization of Geometric measure of Discord
- Analytic Formulas for Quantum Discord of Special Families of N-Qubit States
- Geometric Discord of any arbitrary dimensional bipartite system and its application in quantum key distribution
- Dynamics of local quantum uncertainty among cavity-reservoir qubits
- Channel Discord and Distortion
- Quantum Energy Teleportation under Equilibrium and Nonequilibrium Environments
- Cooperation and dependencies in multipartite systems
- Quantum Teleportation in Non-equilibrium Environments and Fixed-point Fidelity