Grover algorithm for large nuclear spins in semiconductors

Michael N. Leuenberger and Daniel Loss
Phys. Rev. B 68, 165317 – Published 16 October 2003
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Abstract

We show a possible way to implement the Grover algorithm in large nuclear spins 1/2<I<~9/2 in semiconductors. The Grover sequence is performed by means of multiphoton transitions that distribute the spin amplitude between the nuclear spin states. They are distinguishable due to the quadrupolar splitting, which makes the nuclear spin levels nonequidistant. We introduce a generalized rotating frame for an effective Hamiltonian that governs the nonperturbative time evolution of the nuclear spin states for arbitrary spin lengths I. The larger the quadrupolar splitting, the better the agreement between our approximative method using the generalized rotating frame and exact numerical calculations.

  • Received 1 May 2003

DOI:https://doi.org/10.1103/PhysRevB.68.165317

©2003 American Physical Society

Authors & Affiliations

Michael N. Leuenberger

  • Department of Physics and Astronomy, University of Iowa, IATL, Iowa City, Iowa 52242, USA

Daniel Loss

  • Department of Physics and Astronomy, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland

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Vol. 68, Iss. 16 — 15 October 2003

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