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.

arXiv comment10 pages, 7 figures

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Cited by in corpus (13)

• On the quantum correlations in two-qubit XYZ spin chains with Dzyaloshinsky-Moriya and Kaplan-Shekhtman-Entin-Wohlman-Aharony interactions
• On the quantum discord of general X states
• One-way Quantum Deficit and Decoherence for Two-qubit $X$ States
• Temperature-field phase diagrams of one-way quantum work deficit in two-qubit XXZ spin systems
• Phase diagram for the one-way quantum deficit of two-qubit X states
• Super-quantum discord in ferromagnetic and antiferromagnetic materials
• On the possibility to detect quantum correlation regions with the variable optimal measurement angle
• Landau-type sudden transitions of quantum correlations
• Theoretical investigations of quantum correlations in NMR multiple-pulse spin-locking experiments
• Quantum Correlations in NMR systems
• One-way quantum deficit for $2\otimes d$ systems
• Extremal properties of conditional entropy and quantum discord for XXZ symmetric quantum states
• Bimodal behavior of post-measured entropy and one-way quantum deficit for two-qubit X states