Stabilizing qubit coherence via tracking-control
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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.
11 pages (single column), incl. 3 figures. Submitted to special issue of Quantum Information & Computation, following the Conference on Quantum Information and Quantum Control, Toronto, July '04
11 pages (single column), incl. 3 figures. Submitted to special issue of Quantum Information & Computation, following the Conference on Quantum Information and Quantum Control, Toronto, July '04