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arXiv:1404.0095 · Quantum Information Processing

Experimental implementation of quantum information processing by Zeeman-perturbed nuclear quadrupole resonance

J. Teles, Christian Rivera-Ascona, Roberson Saraiva Polli, Rodrigo de Oliveira Silva, Édson Luiz Gea Vidoto, José Pedro Andreeta, Tito José Bonagamba

Published Mar 18, 2015• 11 citations
arXivHTMLPDF
DOI
10.1007/s11128-015-0967-3

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Nuclear magnetic resonance is viewed as an important technique for the implementation of many quantum information algorithms and protocols. Although the most straightforward approach is to use the two-level system composed of spin 1 nuclei as qubits, quadrupolar nuclei, which possess a spin greater than 1 , are being used as an alternative. In this study, we show some unique features of quadrupolar systems for quantum information processing, with an emphasis on the ability to execute efficient quantum state tomography (QST) using only global rotations of the spin system, whose performance is shown in detail. By preparing suitable states and implementing logical operations by numerically optimized pulses together with the QST method, we follow the stepwise execution of Grover’s algorithm. We also review some work in the literature concerning the relaxation of pseudo-pure states in spin 3 systems as well as its modelling in both the Redfield and Kraus formalisms. These data are used to discuss differences in the behaviour of the quantum correlations observed for two-qubit systems implemented by spin 1 and quadrupolar spin 3 systems, also presented in the literature. The possibilities and advantages of using nuclear quadrupole resonance experiments for quantum information processing are also discussed.