Non-Markovian Quantum Error Deterrence by Dynamical Decoupling in a General Environment

  • Authors:

  • K. Shiokawa;B. L. Hu

  • Affiliations:

  • Department of Physics, University of Maryland, College Park, USA 20742 and Institute of Physical and Chemical Research (RIKEN), Wako-shi, Japan 351-0198;Department of Physics, University of Maryland, College Park, USA 20742

  • Venue:
  • Quantum Information Processing
  • Year:
  • 2007

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Abstract

A dynamical decoupling(DD) scheme for the prevention of errors in the non-Markovian (usually corresponding to low temperature, short time, and strong coupling) regimes suitable for qubits constructed out of a multilevel structure is studied. We use the effective spin-boson model (ESBM) introduced recently [K. Shiokawa and B. L. Hu, Phys. Rev. A70, 062106 (2004)] as a low temperature limit of the quantum Brownian oscillator model, where one can obtain exact solutions for a general environment with colored noises. In our decoupling scheme, a train of pairs of strong pulses are used to evolve the interaction Hamiltonian instantaneously. Using this scheme we show that the dynamical decoupling method can suppress 1/f noise with slower and hence more accessible pulses than previously studied, but it still fails to decouple super-Ohmic types of environments.