Stabilizing qubit coherence via tracking-control

  • Authors:

  • Daniel A. Lidar;Sara Schneider

  • Affiliations:

  • Chemical Physics Theory Group, Chemistry Department, and Center for Quantum Information and Quantum Control, University of Toronto, Toronto, Ontario, Canada;Chemical Physics Theory Group, Chemistry Department, and Center for Quantum Information and Quantum Control, University of Toronto, Toronto, Ontario, Canada

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2005

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Abstract

We consider the problem of stabilizing the coherence of a single qubit subject to Markovian decoherence, via the application of a control Hamiltonian, without any additional resources. In this case neither quantum error correction/avoidance, nor dynamical decoupling applies. We show that using tracking-control, i.e., the conditioning of the control field on the state of the qubit, it is possible to maintain coherence for finite time durations, until the control field diverges.