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Operating Quantum States in Single Magnetic Molecules: Implementation of Grover’s Quantum Algorithm

C. Godfrin, A. Ferhat, R. Ballou, S. Klyatskaya, M. Ruben, W. Wernsdorfer, and F. Balestro
Phys. Rev. Lett. 119, 187702 – Published 2 November 2017
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Abstract

Quantum algorithms use the principles of quantum mechanics, such as, for example, quantum superposition, in order to solve particular problems outperforming standard computation. They are developed for cryptography, searching, optimization, simulation, and solving large systems of linear equations. Here, we implement Grover’s quantum algorithm, proposed to find an element in an unsorted list, using a single nuclear 3/2 spin carried by a Tb ion sitting in a single molecular magnet transistor. The coherent manipulation of this multilevel quantum system (qudit) is achieved by means of electric fields only. Grover’s search algorithm is implemented by constructing a quantum database via a multilevel Hadamard gate. The Grover sequence then allows us to select each state. The presented method is of universal character and can be implemented in any multilevel quantum system with nonequal spaced energy levels, opening the way to novel quantum search algorithms.

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  • Received 17 July 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.187702

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsQuantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

C. Godfrin1,2, A. Ferhat1,2, R. Ballou1,2, S. Klyatskaya3, M. Ruben3, W. Wernsdorfer1,2,4,*, and F. Balestro1,2,5,†

  • 1CNRS Institut Néel, Grenoble F-38000, France
  • 2Université Grenoble Alpes, Institut NEEL, Grenoble F-38000, France
  • 3Institute of Nanotechnology, Karlsruhe Institute of Technology, 76344 Eggenstein-Leopoldshafen, Germany
  • 4Physikalisches Institut, Karlsruhe Institute of Technology, D-76131 Karlsruhe, Germany
  • 5Institut Universitaire de France, 103 Boulevard Saint-Michel, 75005 Paris, France

  • *wolfgang.wernsdorfer@kit.edu
  • franck.balestro@neel.cnrs.fr

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Issue

Vol. 119, Iss. 18 — 3 November 2017

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