Pairwise quantum and classical correlations in multi-qubits states via linear relative entropy
arXiv:1412.0398 · doi:10.1142/S021974991450035X
Abstract
The pairwise correlations in a multi-qubit state are quantified through a linear variant of relative entropy. In particular, we derive the explicit expressions of total, quantum and classical bipartite correlations. Two different bi-partioning schemes are considered. We discuss the derivation of closest product, quantum-classical and quantum-classical product states. We also investigate the additivity relation between the various pairwise correlations existing in pure and mixed states. As illustration, some special cases are examined.
arXiv comment19 pages, To appear in International Journal of Quantum Information
References in corpus (21)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Mixed State Entanglement and Quantum Error Correction
- Introducing Quantum Discord
- Distributed Entanglement
- Entanglement detection
- The classical-quantum boundary for correlations: discord and related measures
- Necessary and sufficient condition for non-zero quantum discord
- The Role of Relative Entropy in Quantum Information Theory
- Universal state inversion and concurrence in arbitrary dimensions
- Unified View of Quantum and Classical Correlations
- Global Quantum Discord in Multipartite Systems
- Geometric quantum discord through the Schatten 1-norm
- One-norm geometric quantum discord under decoherence
- Hierarchy and dynamics of trace distance correlations
- Distance between quantum states in presence of initial qubit-environment correlations: a comparative study
- Unified view of correlations using the square norm distance
- Dynamics of geometric and entropic quantifiers of correlations in open quantum systems
- Geometric Measure of Pairwise Quantum Discord for Superpositions of Multipartite Generalized Coherent States
- Multipartite Quantum Correlations in Open Quantum Systems
- Multipartite quantum correlations in even and odd spin coherent states