Generalized approach to quantify correlations in bipartite quantum systems
arXiv:1805.11634 · doi:10.1007/s11128-018-2168-3
Abstract
In this work we developed a general approach to the problem of detecting and quantifying different kind of correlations in bipartite quantum systems. Our method is based on the use of distances between quantum states and processes. We rely upon the premise that total correlations can be separated into classical and quantum contributions due to their different nature. In addition, according to recently discussed criteria, we determined the requirements to be satisfied by distances in order to generate correlation measures physically well behaved. The proposed measures allow us to quantify quantum, classical and total correlations.
References in corpus (47)
- Introducing Quantum Discord
- Bell nonlocality
- Classical, quantum and total correlations
- The classical-quantum boundary for correlations: discord and related measures
- Quantum discord and the power of one qubit
- Necessary and sufficient condition for non-zero quantum discord
- Quantum Nonlocality without Entanglement
- Sudden Death of Entanglement
- On the Power of One Bit of Quantum Information
- Experimental quantum computing without entanglement
- Quantum discord for two-qubit X-states
- Unified View of Quantum and Classical Correlations
- On the quantum, classical and total amount of correlations in a quantum state
- Separability of very noisy mixed states and implications for NMR quantum computing
- A Thermodynamical Approach to Quantifying Quantum Correlations
- Quantum versus classical correlations in Gaussian states
- Gaussian quantum discord
- Measures and applications of quantum correlations
- Entanglement and the Power of One Qubit
- Quantum discord for general two--qubit states: Analytical progress
- Quantum discord of two-qubit X-states
- Open-System Dynamics of Entanglement
- Computing quantum discord is NP-complete
- The problem with the geometric discord
- On the role of entanglement and correlations in mixed-state quantum computation
- Sophisticated quantum search without entanglement
- Quantum Discord and the Geometry of Bell-Diagonal States
- Jensen-Shannon divergence as a measure of distinguishability between mixed quantum states
- Non-Markovian entanglement dynamics in the presence of system-bath coherence
- Quantum discord and geometry for a class of two-qubit states
- Optimal measurements to access classical correlations of two-qubit states
- Cavity-based architecture to preserve quantum coherence and entanglement
- Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence
- Experimental on-demand recovery of entanglement by local operations within non-Markovian dynamics
- Observation of time-invariant coherence in a room temperature quantum simulator
- Hierarchy and dynamics of trace distance correlations
- Universal freezing of quantum correlations within the geometric approach
- Entanglement of photons in their dual wave-particle nature
- An additive and operational entanglement measure: conditional entanglement of mutual information
- Quantum discord of two-qubit rank-two states
- Quantifying quantum discord and entanglement of formation via unified purifications
- Correlations in quantum states and the local creation of quantum discord
- Hidden entanglement, system-environment information flow and non-Markovianity
- The geometric approach to quantum correlations: Computability versus reliability
- Hidden entanglement in the presence of random telegraph dephasing noise
- Overcoming ambiguities in classical and quantum correlation measures
- Unification of quantum and classical correlations and quantumness measures