Genuine quantum and classical correlations in multipartite systems

Abstract

Generalizing the quantifiers used to classify correlations in bipartite systems, we define genuine total, quantum, and classical correlations in multipartite systems. The measure we give is based on the use of relative entropy to quantify the "distance" between two density matrices. Moreover, we show that, for pure states of three qubits, both quantum and classical bipartite correlations obey a ladder ordering law fixed by two-body mutual informations, or, equivalently, by one-qubit entropies.

Accepted for publication in Phys. Rev. Lett

References in corpus (7)

• Quantum discord and the power of one qubit
• Experimental quantum computing without entanglement
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Conservation law for distributed entanglement of formation and quantum discord
• Monogamy inequality for distributed Gaussian entanglement
• Quantum Correlation Without Classical Correlations
• Maximally discordant mixed states of two qubits

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