Suppression of 1/fα noise in one-qubit systems

Pekko Kuopanportti, Mikko Möttönen, Ville Bergholm, Olli-Pentti Saira, Jun Zhang, and K. Birgitta Whaley
Phys. Rev. A 77, 032334 – Published 20 March 2008

Abstract

We investigate the generation of quantum operations for one-qubit systems under classical Markovian noise with a 1/fα power spectrum, where 2>α>0. We present an efficient way to approximate the noise with a discrete multistate Markovian fluctuator. With this method, the average temporal evolution of the qubit state operator under 1/fα noise can be feasibly determined from recently derived deterministic master equations. We obtain qubit operations such as quantum memory and the NOT gate to high fidelity by a gradient-based optimization algorithm. For the NOT gate, the computed fidelities are qualitatively similar to those obtained earlier for random telegraph noise. In the case of quantum memory, however, we observe a nonmonotonic dependency of the fidelity on the operation time, yielding a natural access rate of the memory.

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  • Received 5 April 2007

DOI:https://doi.org/10.1103/PhysRevA.77.032334

©2008 American Physical Society

Authors & Affiliations

Pekko Kuopanportti1,*, Mikko Möttönen1,2, Ville Bergholm1, Olli-Pentti Saira1,2, Jun Zhang3, and K. Birgitta Whaley3

  • 1Department of Engineering Physics–COMP, Helsinki University of Technology, P. O. Box 5100, 02015 TKK, Finland
  • 2Low Temperatre Laboratory, Helsinki University of Technology, P. O. Box 5100, 02015 TKK, Finland
  • 3Department of Chemistry and Pitzer Center for Theoretical Chemistry, University of California, Berkeley, California 94720, USA

  • *pekko.kuopanportti@tkk.fi

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Vol. 77, Iss. 3 — March 2008

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