Markovian theory of dynamical decoupling by periodic control

Abstract

The recently developed formalism of Markovian master equations for quantum open systems with external periodic driving is applied to the theory of dynamical decoupling by periodic control. This new approach provides a more detailed quantitative picture of this phenomenon applicable both to traditional NMR spectroscopy and to recent attempts of decoherence reduction in quantum devices. For popular choices of bath spectral densities and a two-level system, exact formulas for the relaxation rates are available. In the context of NMR imaging, the obtained formulas allow the extraction of a new parameter describing bath relaxation time from the experimental data.

14 pages, 6 figures; final version with minor revisions added

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Cited by in corpus (12)

• Completely positive master equation for arbitrary driving and small level spacing
• Geometric-Arithmetic Master Equation in Large and Fast Open Quantum Systems
• Non-adiabatic effects in periodically driven-dissipative open quantum systems
• Thermodynamics of a Periodically Driven Qubit
• Generalized Master Equation Approach to Time-Dependent Many-Body Transport
• Non-Markovian noise that cannot be dynamically decoupled by periodic spin echo pulses
• Hybrid master equation for calorimetric measurements
• Fermi's golden rule, the origin and breakdown of Markovian master equations, and the relationship between oscillator baths and the random matrix model
• Can Quantum Markov Evolutions Ever Be Dynamically Decoupled?
• On the Lyapunov-Perron reducible Markovian Master Equation
• Markovian dynamics under weak periodic coupling
• Demonstration of High-Fidelity Entangled Logical Qubits using Transmons