Experimental Uhrig Dynamical Decoupling using Trapped Ions

Abstract

We present a detailed experimental study of the Uhrig Dynamical Decoupling (UDD) sequence in a variety of noise environments. Our qubit system consists of a crystalline array of ${}^9$Be${}^{+}$ ions confined in a Penning trap. We use an electron-spin-flip transition as our qubit manifold and drive qubit rotations using a 124 GHz microwave system. We study the effect of the UDD sequence in mitigating phase errors and compare against the well known CPMG-style multipulse spin echo as a function of pulse number, rotation axis, noise spectrum, and noise strength. Our results agree well with theoretical predictions for qubit decoherence in the presence of classical phase noise, accounting for the effect of finite-duration $\pi$ pulses. Finally, we demonstrate that the Uhrig sequence is more robust against systematic over/underrotation and detuning errors than is multipulse spin echo, despite the precise prescription for pulse-timing in UDD.

References in corpus (11)

• Optimized Dynamical Decoupling in a Model Quantum Memory
• Fault-Tolerant Quantum Dynamical Decoupling
• How to Enhance Dephasing Time in Superconducting Qubits
• Optimal Dynamical Decoherence Control of a Qubit
• Universality of Uhrig dynamical decoupling for suppressing qubit pure dephasing and relaxation
• Exact Results on Dynamical Decoupling by $\pi$-Pulses in Quantum Information Processes
• Restoring Coherence Lost to a Slow Interacting Mesoscopic Bath
• Universal pulse sequence to minimize spin dephasing in the central spin decoherence problem
• Long-time electron spin storage via dynamical suppression of hyperfine-induced decoherence in a quantum dot
• Suppression of 1/f noise in one-qubit systems
• Wigner crystals of ions as quantum hard drives

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