Pulsed Dynamical Decoupling for Fast and Robust Two-Qubit Gates on Trapped Ions

Abstract

We propose a pulsed dynamical decoupling protocol as the generator of tunable, fast, and robust quantum phase gates between two microwave-driven trapped ion hyperfine qubits. The protocol consists of sequences of $\pi$-pulses acting on ions that are oriented along an externally applied magnetic field gradient. In contrast to existing approaches, in our design the two vibrational modes of the ion chain cooperate under the influence of the external microwave driving to achieve significantly increased gate speeds. Our scheme is robust against the dominant noise sources, which are errors on the magnetic field and microwave pulse intensities, as well as motional heating, predicting two-qubit gates with fidelities above $99.9\%$ in tens of microseconds.

11 pages + Supplemental Material, (6 + 1 figures)

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• Spin and motion dynamics with zigzag ion crystals in transverse magnetic field gradients
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• Numerical optimization of amplitude-modulated pulses in microwave-driven entanglement generation
• Versatile Atomic Magnetometry Assisted by Bayesian Inference
• Hybrid Microwave Radiation Patterns for High-Fidelity Quantum Gates with Trapped Ions
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• Correction Formulas for the Mølmer-Sørensen Gate Under Strong Driving
• Phase-adaptive dynamical decoupling methods for robust spin-spin dynamics in trapped ions
• The role of higher-order terms in trapped-ion quantum computing with magnetic gradient induced coupling
• Selective Hybrid Spin Interactions with Low Radiation Power
• Efficiency of optimal control for noisy spin qubits in diamond
• Robust Oscillator-Mediated Phase Gates Driven by Low-Intensity Pulses