Graphene-enabled low-control quantum gates between static and mobile spins

G. Cordourier-Maruri, Y. Omar, R. de Coss, and S. Bose
Phys. Rev. B 89, 075426 – Published 21 February 2014

Abstract

We show that the features of Klein tunneling make graphene a unique interface for implementing low control quantum gates between static and mobile qubits. A ballistic electron spin is considered as the mobile qubit, while the static qubit is the electronic spin of a quantum dot fixed in a graphene nanoribbon. Scattering is the low control mechanism of the gate, which in other systems is very difficult to exploit because of both backscattering and the momentum dependence of transmission. We find that the unique features of Klein tunneling enable quasideterministic quantum gates between the spin of a ballistic electron and a static spin held in a dot, regardless of the momenta or the shape of the incident electron wave function. The Dirac equation is used to describe the system in the one particle approximation, with the interaction between the static and the mobile spins modeled by a Heisenberg Hamiltonian. Furthermore, we discuss an application of this model to generate entanglement between two well-separated static qubits.

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  • Received 20 September 2013
  • Revised 28 January 2014

DOI:https://doi.org/10.1103/PhysRevB.89.075426

©2014 American Physical Society

Authors & Affiliations

G. Cordourier-Maruri1,2, Y. Omar3,4, R. de Coss1, and S. Bose2

  • 1Departamento de Física Aplicada, Cinvestav-Mérida, A.P. 73 Cordemex, Mérida, Yucatán 97310, México
  • 2Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, England, United Kingdom
  • 3Physics of Information Group, Instituto de Telecomunicações, P-1049-001 Lisbon, Portugal
  • 4CEMAPRE, ISEG, University of Lisbon, P-1200-781 Lisbon, Portugal

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Issue

Vol. 89, Iss. 7 — 15 February 2014

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