Coherent manipulation of three-qubit states in a molecular single-ion magnet

M. D. Jenkins, Y. Duan, B. Diosdado, J. J. García-Ripoll, A. Gaita-Ariño, C. Giménez-Saiz, P. J. Alonso, E. Coronado, and F. Luis
Phys. Rev. B 95, 064423 – Published 22 February 2017
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Abstract

We study the quantum spin dynamics of nearly isotropic Gd3+ ions entrapped in polyoxometalate molecules and diluted in crystals of a diamagnetic Y3+ derivative. The full energy-level spectrum and the orientations of the magnetic anisotropy axes have been determined by means of continuous-wave electron paramagnetic resonance experiments, using X-band (9–10 GHz) cavities and on-chip superconducting waveguides and 1.5-GHz resonators. The results show that seven allowed transitions between the 2S+1 spin states can be separately addressed. Spin coherence T2 and spin-lattice relaxation T1 rates have been measured for each of these transitions in properly oriented single crystals. The results suggest that quantum spin coherence is limited by residual dipolar interactions with neighbor electronic spins. Coherent Rabi oscillations have been observed for all transitions. The Rabi frequencies increase with microwave power and agree quantitatively with predictions based on the spin Hamiltonian of the molecular spin. We argue that the spin states of each Gd3+ ion can be mapped onto the states of three addressable qubits (or, alternatively, of a d=8-level “qudit”), for which the seven allowed transitions form a universal set of operations. Within this scheme, one of the coherent oscillations observed experimentally provides an implementation of a controlled-controlled-NOT (or Toffoli) three-qubit gate.

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  • Received 13 October 2016
  • Revised 18 January 2017

DOI:https://doi.org/10.1103/PhysRevB.95.064423

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsQuantum Information, Science & Technology

Authors & Affiliations

M. D. Jenkins1,2, Y. Duan3, B. Diosdado4, J. J. García-Ripoll5, A. Gaita-Ariño3, C. Giménez-Saiz3, P. J. Alonso1,2,*, E. Coronado3,†, and F. Luis1,2,‡

  • 1Instituto de Ciencia de Materiales de Aragón (ICMA), CSIC-Universidad de Zaragoza, Pedro Cerbuna 12, 50009 Zaragoza, Spain
  • 2Dpto. de Física de la Materia Condensada, Universidad de Zaragoza, Pedro Cerbuna 12, 50009 Zaragoza, Spain
  • 3Instituto de Ciencia Molecular (ICMol), Universidad de Valencia, Catedrático José Beltrán 2, 46980 Paterna, Spain
  • 4Servicio de Difracción de Rayos X y Análisis por Fluorescencia, Universidad de Zaragoza, 50009 Zaragoza, Spain
  • 5Instituto de Física Fundamental, IFF-CSIC, Serrano 113-bis, 28006 Madrid, Spain

  • *alonso@unizar.es
  • eugenio.coronado@uv.es
  • fluis@unizar.es

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Issue

Vol. 95, Iss. 6 — 1 February 2017

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