Unified scheme for correlations using linear relative entropy
arXiv:1412.1072 · doi:10.1016/j.physleta.2014.10.012
Abstract
A linearized variant of relative entropy is used to quantify in a unified scheme the different kinds of correlations in a bipartite quantum system. As illustration, we consider a two-qubit state with parity and exchange symmetries for which we determine the total, classical and quantum correlations. We also give the explicit expressions of its closest product state, closest classical state and the corresponding closest product state. A closed additive relation, involving the various correlations quantified by linear relative entropy, is derived.
20 pages
References in corpus (41)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Mixed State Entanglement and Quantum Error Correction
- Introducing Quantum Discord
- Entanglement of a Pair of Quantum Bits
- Distributed Entanglement
- Entanglement detection
- Classical, quantum and total correlations
- Quantum Teleportation is a Universal Computational Primitive
- 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
- Quantum discord for two-qubit X-states
- Unified View of Quantum and Classical Correlations
- Classical and quantum correlations under decoherence
- Quantum versus classical correlations in Gaussian states
- Gaussian quantum discord
- Non-Markovian Dynamics of Quantum Discord
- Quantum discord for general two--qubit states: Analytical progress
- Classical Correlations and Entanglement in Quantum Measurements
- Geometric quantum discord through the Schatten 1-norm
- Dynamics of quantum correlations in two-qubit systems within non-Markovian environments
- Properties of Classical and Quantum Jensen-Shannon Divergence
- Conservation law for distributed entanglement of formation and quantum discord
- Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence
- One-norm geometric quantum discord under decoherence
- Nonorthogonal Quantum States Maximize Classical Information Capacity
- 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
- Measuring bipartite quantum correlations of an unknown state
- Unifying approach to the quantification of bipartite correlations by Bures distance
- Quantum discord of two-qubit rank-two states
- Quantum computing via measurements only
- Gaussian geometric discord
- Geometric picture of quantum discord for two-qubit quantum states
- Geometric classical and total correlations via trace distance
- Quantum discord of Bell cat-states under amplitude damping
- Natural Metric for Quantum Information Theory