Correlative Capacity of Composite Quantum States

Abstract

We characterize the optimal correlative capacity of entangled, separable, and classically correlated states. Introducing the notions of the infimum and supremum within majorization theory, we construct the least disordered separable state compatible with a set of marginals. The maximum separable correlation information supportable by the marginals of a multi-qubit pure state is shown to be an LOCC monotone. The least disordered composite of a pair of qubits is found for the above classes, with classically correlated states defined as diagonal in the product of marginal bases.

4 pages, 1 figure

References in corpus (3)

• Quantum discord and the power of one qubit
• Experimental quantum computing without entanglement
• Verschraenkung versus Stosszahlansatz: Disappearance of the Thermodynamic Arrow in a High-Correlation Environment

Cited by in corpus (7)

• The classical-quantum boundary for correlations: discord and related measures
• Majorization Formulation of Uncertainty in Quantum Mechanics
• Entanglement Detection Using Majorization Uncertainty Bounds
• Optimal common resource in majorization-based resource theories
• Extremal elements of a sublattice of the majorization lattice and approximate majorization
• On the spectral dependence of separable and classical correlations in small quantum systems
• An entropic partial order on a parabolic quotient of S6