Exchange-based CNOT gates for singlet-triplet qubits with spin-orbit interaction

Jelena Klinovaja, Dimitrije Stepanenko, Bertrand I. Halperin, and Daniel Loss
Phys. Rev. B 86, 085423 – Published 13 August 2012


We propose a scheme for implementing the CNOT gate over qubits encoded in a pair of electron spins in a double quantum dot. The scheme is based on exchange and spin-orbit interactions and on local gradients in Zeeman fields. We find that the optimal device geometry for this implementation involves effective magnetic fields that are parallel to the symmetry axis of the spin-orbit interaction. We show that the switching times for the CNOT gate can be as fast as a few nanoseconds for realistic parameter values in GaAs semiconductors. Guided by recent advances in surface codes, we also consider the perpendicular geometry. In this case, leakage errors due to spin-orbit interaction occur but can be suppressed in strong magnetic fields.

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  • Received 12 June 2012


©2012 American Physical Society

Authors & Affiliations

Jelena Klinovaja1, Dimitrije Stepanenko1, Bertrand I. Halperin2, and Daniel Loss1

  • 1Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland
  • 2Department of Physics, Harvard University, 17 Oxford St., 5 Cambridge, Massachusetts 02138, USA

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Vol. 86, Iss. 8 — 15 August 2012

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