Multipartite Generalization of Geometric measure of Discord
arXiv:2109.11981 · doi:10.1016/j.cjph.2024.05.022
Abstract
Radhakrishnan et.al [Phys. Rev. Lett. 124, 110401 (2020)] proposed a generalization of quantum discord to multipartite systems, which is consistency with the conventional definition of discord in bipartite systems and derived explicit formulae for any states. These results are significant in capturing quantum correlations for multi-qubit systems. We propose a generalization of geometric measure of multipartite quantum discord in the same manner. We find generic forms of the generalization of geometric measure of quantum discord in a general N-partite quantum state. Further, we obtain computable exact formulas for the generalization of geometric measure of quantum discord in an N-qubit quantum state, which include the results obtained in [arXiv:2104.12344].
arXiv comment40 pages, 1 figure. arXiv admin note: text overlap with arXiv:1202.0104
References in corpus (44)
- Quantum entanglement
- Introducing Quantum Discord
- Entanglement detection
- Classical, quantum and total correlations
- Necessary and sufficient condition for non-zero quantum discord
- Quantum Nonlocality without Entanglement
- On the Power of One Bit of Quantum Information
- Separability of very noisy mixed states and implications for NMR quantum computing
- Robustness of quantum discord to sudden death
- Quantum versus classical correlations in Gaussian states
- Quantum discord as resource for remote state preparation
- Non-Markovian Dynamics of Quantum Discord
- The Bloch Vector for N-Level Systems
- No-local-broadcasting theorem for quantum correlations
- Quantum discord and quantum phase transition in spin chains
- Entanglement and the Power of One Qubit
- Global Quantum Discord in Multipartite Systems
- Geometric quantum discord through the Schatten 1-norm
- Characterization of the Positivity of the Density Matrix in Terms of the Coherence Vector Representation
- The problem with the geometric discord
- On the role of entanglement and correlations in mixed-state quantum computation
- Sophisticated quantum search without entanglement
- Quantum Reverse Shannon Theorem
- Quantum discord between relatively accelerated observers
- Signatures of non-classicality in mixed-state quantum computation
- Genuine quantum and classical correlations in multipartite systems
- Entanglement of three-qubit Greenberger-Horne-Zeilinger-symmetric states
- Quantum Computing Without Entanglement
- Unified view of correlations using the square norm distance
- Tight lower bound to the geometric measure of quantum discord
- Quantum Conditional Mutual Information, Reconstructed States, and State Redistribution
- Quantum resources for hybrid communication via qubit-oscillator states
- Quantum discord and multipartite correlations
- Quantum-correlating power of local quantum channels
- Quantum Dissension: Generalizing Quantum Discord for Three-Qubit States
- Tight lower bound on geometric discord of bipartite states
- A multipartite generalization of quantum discord
- Note on Separability of the Werner states in arbitrary dimensions
- Quantum Discord for multiqubit Systems
- Monogamy of quantum discord
- Geometric measure of quantum discord and total quantum correlations in a N-partite quantum state
- Measurement - induced qudit geometric discord
- Two-qubit trace-norm geometric discord: the complete solution
- Geometric Discord for Multi-qubit Systems