Unified view of quantum and classical correlations.

By Kavan Modi, Tomasz Paterek, W. Son, Vlatko Vedral, M. Williamson. Physical Review Letters, 2009

670 citations recorded by the source corpus.

We discuss the problem of the separation of total correlations in a given quantum state into entanglement, dissonance, and classical correlations using the concept of relative entropy as a distance measure of correlations. This allows us to put all correlations on an equal footing. Entanglement and dissonance, whose definition is introduced here, jointly belong to what is known as quantum discord. Our methods are completely applicable for multipartite systems of arbitrary dimensions. We investigate additivity relations between different correlations and show that dissonance may be present in pure multipartite states.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2561b75272895f50436cabf9366a2416c80be1d9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

The classical-quantum boundary for correlations: Discord and related measures (2011, methodology): “F, is chosen as a set of CC or CQ states, the proofs of (Modi et al., 2010) show that it is optimal to perform orthogonal projective measurements in order to minimize relative entropy of discord and dissonance.”
Quantum-enhanced measurements without entanglement (2017, positive): “For instance, the relative entropy of discord (Modi et al., 2010) is defined as DR(ρ) = inf χ S(ρ‖χ) , (21) where the minimization is over all classically correlated states χ, and S(ρ‖χ) = Tr(ρ log ρ − ρ logχ) denotes the quantum relative entropy.”
The role of quantum information in thermodynamics—a topical review (2015, background): “The relative entropy also plays a central role in quantum information theory, in particular, in the geometric picture of entanglement and general quantum and classical correlations [209, 210].”
Quantum coherence and geometric quantum discord (2017, methodology): “The central idea for this kind of definition is that the distance between the considered state and the state without the desired property is a measure of that property (Modi et al., 2010).”