Experimental and theoretical investigations of quantum state transfer and decoherence processes in quasi-one-dimensional
systems in multiple-quantum NMR experiments

G. A. Bochkin; S. I. Doronin; S. G. Vasil'ev; A. V. Fedorova; E. B. Fel'dman

doi:10.1117/12.2263854

30 December 2016 Experimental and theoretical investigations of quantum state transfer and decoherence processes in quasi-one-dimensional systems in multiple-quantum NMR experiments

G. A. Bochkin, S. I. Doronin, S. G. Vasil'ev, A. V. Fedorova, E. B. Fel'dman

Author Affiliations +

Proceedings Volume 10224, International Conference on Micro- and Nano-Electronics 2016; 102242E (2016) https://doi.org/10.1117/12.2263854
Event: The International Conference on Micro- and Nano-Electronics 2016, 2016, Zvenigorod, Russian Federation

Abstract

Multiple quantum (MQ) NMR methods¹ are applied to the analysis of various problems of quantum information processing. It is shown that the two-spin/two-quantum Hamiltonian¹ describing MQ NMR dynamics is related to the flip-flop Hamiltonian of a one-dimensional spin system in the approximation of the nearest neighbor interactions. As a result, it is possible to organize quantum state transfer along a linear chain. MQ NMR experiments are performed on quasi-one-dimensional chains of ¹⁹F nuclei in calcium fluorapatite Ca₅(PO₄)₃F. Relaxation of the MQ NMR coherences is considered as the simplest model of decoherence processes. A theory of the dipolar relaxation of the MQ NMR coherences in one-dimensional systems is developed. A good agreement of the theoretical predictions and the experimental data is obtained.

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G. A. Bochkin, S. I. Doronin, S. G. Vasil'ev, A. V. Fedorova, and E. B. Fel'dman "Experimental and theoretical investigations of quantum state transfer and decoherence processes in quasi-one-dimensional systems in multiple-quantum NMR experiments", Proc. SPIE 10224, International Conference on Micro- and Nano-Electronics 2016, 102242E (30 December 2016); https://doi.org/10.1117/12.2263854

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