Dynamical decoupling for a qubit in telegraph-like noises

Abstract

Based on the stochastic theory developed by Kubo and Anderson, we present an exact result of the decoherence function of a qubit in telegraph-like noises under dynamical decoupling control. We prove that for telegraph-like noises, the decoherence can be suppressed at most to the third order of the time and the periodic Carr-Purcell-Merboom-Gill sequences are the most efficient scheme in protecting the qubit coherence in the short-time limit.

4 pages

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Cited by in corpus (6)

• Environmental noise spectroscopy with qubits subjected to dynamical decoupling
• Optimal pulse spacing for dynamical decoupling in the presence of a purely-dephasing spin-bath
• Spectroscopy of cross-correlations of environmental noises with two qubits
• No-go theorem and optimization of dynamical decoupling against noise with soft cutoff
• Uhrig Dynamical Control of a Three-Level System Via Non-Markovian Quantum State Diffusion
• Higher-order protection of quantum gates: Hamiltonian engineering coordinated with dynamical decoupling