NMR dynamics of quantum discord for spin-carrying gas molecules in a closed nanopore

Abstract

A local orthogonal transformation that transforms any centrosymmetric (CS) matrix of fourth order to the X form is found. A picewise-analytic-numerical formula Q=min{Q_π/2,Q_θ,Q_0}, where Q_π/2 and Q_0 are analytical expressions and the branch Q_θ is found by numerical searching the optimal measurement angle θ\in(0,π/2), is proposed to calculate the quantum discord Q of general X state. The developed approaches are applied to a quantitative description of recently predicted flickerings (periodic birth and death) of the quantum-information pair correlation between nuclear 1/2 spin of atoms or molecules of a gas (for examples Xe^129) in a finite asymmetric volume in the presence of a strong magnetic field.

10 pages, 7 figures

References in corpus (5)

• Quantum discord and geometry for a class of two-qubit states
• Optimal measurements to access classical correlations of two-qubit states
• Quantum correlations in a system of nuclear s=1/2 spins in a strong magnetic field
• Quantum discord for general X and CS states: A piecewise-analytic-numerical formula
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Cited by in corpus (4)

• On the possibility to detect quantum correlation regions with the variable optimal measurement angle
• Landau-type sudden transitions of quantum correlations
• One-way quantum deficit for $2\otimes d$ systems
• Bimodal behavior of post-measured entropy and one-way quantum deficit for two-qubit X states