Effects of stochastic noise on dynamical decoupling procedures

Abstract

Dynamical decoupling is an important tool to counter decoherence and dissipation effects in quantum systems originating from environmental interactions. It has been used successfully in many experiments; however, there is still a gap between fidelity improvements achieved in practice compared to theoretical predictions. We propose a model for imperfect dynamical decoupling based on a stochastic Ito differential equation which could explain the observed gap. We discuss the impact of our model on the time evolution of various quantum systems in finite- and infinite-dimensional Hilbert spaces. Analytical results are given for the limit of continuous control, whereas we present numerical simulations and upper bounds for the case of finite control.

15 pages, 6 figures

References in corpus (13)

• Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
• Universal dynamical decoupling of a single solid-state spin from a spin bath
• Optimized Dynamical Decoupling in a Model Quantum Memory
• Fault-Tolerant Quantum Dynamical Decoupling
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Robust dynamical decoupling for quantum computing and quantum memory
• Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
• Optimal Dynamical Decoherence Control of a Qubit
• Universal pulse sequence to minimize spin dephasing in the central spin decoherence problem
• Experimental inhibition of decoherence on flying qubits via bang-bang control
• Enhanced Convergence and Robust Performance of Randomized Dynamical Decoupling
• Quantum error correction of coherent errors by randomization
• Controlling quantum systems by embedded dynamical decoupling schemes