Concatenated dynamical decoupling in a solid-state spin bath

Abstract

Concatenated dynamical decoupling (CDD) pulse sequences hold much promise as a strategy to mitigate decoherence in quantum information processing. It is important to investigate the actual performance of these dynamical decoupling strategies in real systems that are promising qubit candidates. In this Rapid Communication, we compute the echo decay of concatenations of the Hahn echo sequence for a solid-state electronic spin qubit in a nuclear spin bath using a cluster expansion technique. We find that each level of concatenation reverses the effect of successive levels of intrabath fluctuations. On the one hand, this advances CDD as a versatile and realistic decoupling strategy. On the other hand, this invalidates, as overly optimistic, results of the simple pair approximation used previously to study restoration, through CDD, of coherence lost to a mesoscopic spin bath.

References in corpus (6)

• Fault-Tolerant Quantum Dynamical Decoupling
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
• Restoring Coherence Lost to a Slow Interacting Mesoscopic Bath
• Controlling quantum systems by embedded dynamical decoupling schemes
• Dynamical control of electron spin coherence in a quantum dot

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• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Nuclear Spins in Nanostructures
• Universal pulse sequence to minimize spin dephasing in the central spin decoherence problem
• Quantum many-body theory of qubit decoherence in a finite-size spin bath. II. Ensemble dynamics
• Long-time electron spin storage via dynamical suppression of hyperfine-induced decoherence in a quantum dot
• Wavefunction considerations for the central spin decoherence problem in a nuclear spin bath
• Advantages of Randomization in Coherent Quantum Dynamical Control