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Spin coherent states phenomena probed by quantum state tomography in Zeeman perturbed nuclear quadrupole resonance

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Abstract

Recently, we reported an experimental implementation of quantum information processing (QIP) by nuclear quadrupole resonance (NQR). In this work, we present the first quantum state tomography (QST) experimental implementation in the NQR QIP context. Two approaches are proposed, employing coherence selection by temporal and spatial averaging. Conditions for reduction in the number of cycling steps are analyzed, which can be helpful for larger spin systems. The QST method was applied to the study of spin coherent states, where the alignment-to-orientation phenomenon and the evolution of squeezed spin states show the effect of the nonlinear quadrupole interaction intrinsic to the NQR system. The quantum operations were implemented using a single-crystal sample of KClO\(_{3}\) and observing \(^{35}\)Cl nuclei, which posses spin 3/2.

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Notes

  1. In this paper we use spin angular momentum notation I, since their atomic counterpart satisfy the same mathematical properties.

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Acknowledgements

This work was supported by the Brazilian agency FAPESP (2012/02208-5) and by the Brazilian National Institute of Science and Technology for Quantum Information (INCT-IQ). The authors also acknowledge Edson Luiz Gea Vidoto and Aparecido Donizeti Fernandes de Amorim by the technical support.

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  1. Departamento de Ciências da Natureza, Matemática e Educação, Universidade Federal de São Carlos, Caixa Postal 153, 13600-970, Araras, SP, Brasil

    João Teles

  2. Departamento de Física, Universidade Estadual de Ponta Grossa, Av. Carlos Cavalcanti, 4748, Ponta Grossa, PR, 84030-900, Brasil

    Ruben Auccaise

  3. Instituto de Física de São Carlos, Universidade de São Paulo, CP 369, São Carlos, SP, 13560-970, Brasil

    Christian Rivera-Ascona, Arthur G. Araujo-Ferreira, José P. Andreeta & Tito J. Bonagamba

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Teles, J., Auccaise, R., Rivera-Ascona, C. et al. Spin coherent states phenomena probed by quantum state tomography in Zeeman perturbed nuclear quadrupole resonance. Quantum Inf Process 17, 177 (2018). https://doi.org/10.1007/s11128-018-1947-1

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