Efficacy of noisy dynamical decoupling

Abstract

Dynamical decoupling (DD) refers to a well-established family of methods for error mitigation, comprising pulse sequences aimed at averaging away slowly evolving noise in quantum systems. Here, we revisit the question of its efficacy in the presence of noisy pulses in scenarios important for quantum devices today: pulses with gate control errors, and the computational setting where DD is used to reduce noise in every computational gate. We focus on the well-known schemes of periodic (or universal) DD, and its extension, concatenated DD, for scaling up its power. The qualitative conclusions from our analysis of these two schemes nevertheless apply to other DD approaches. In the presence of noisy pulses, DD does not always mitigate errors. It does so only when the added noise from the imperfect DD pulses do not outweigh the increased ability in averaging away the original background noise. We present breakeven conditions that delineate when DD is useful, and further find that there is a limit in the performance of concatenated DD, specifically in how far one can concatenate the DD pulse sequences before the added noise no longer offers any further benefit in error mitigation.

arXiv comment20 pages, 6 figures

References in corpus (44)

• Quantum Computing in the NISQ era and beyond
• Quantum Computing
• Dynamical Decoupling of Open Quantum Systems
• Dynamical suppression of decoherence in two-state quantum systems
• The Magnus expansion and some of its applications
• Universal dynamical decoupling of a single solid-state spin from a spin bath
• Keeping a Quantum Bit Alive by Optimized $\pi$-Pulse Sequences
• Optimized Dynamical Decoupling in a Model Quantum Memory
• Fault-Tolerant Quantum Dynamical Decoupling
• Universal Control of Decoupled Quantum Systems
• Symmetrizing Evolutions
• Robust dynamical decoupling with bounded controls
• Robust dynamical decoupling for quantum computing and quantum memory
• Dynamically Error-Corrected Gates for Universal Quantum Computation
• Robust dynamical decoupling
• Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
• Scaling of Dynamical Decoupling for Spin Qubits
• Random decoupling schemes for quantum dynamical control and error suppression
• Arbitrarily Accurate Dynamical Control in Open Quantum Systems
• High fidelity quantum gates via dynamical decoupling
• Experimental Uhrig Dynamical Decoupling using Trapped Ions
• Environmental noise spectroscopy with qubits subjected to dynamical decoupling
• Combining dynamical decoupling with fault-tolerant quantum computation
• Near-optimal dynamical decoupling of a qubit
• Performance comparison of dynamical decoupling sequences for a qubit in a rapidly fluctuating spin-bath
• Optimizing a Dynamical Decoupling Protocol for Solid-State Electronic Spin Ensembles in Diamond
• Protected quantum computing: Interleaving gate operations with dynamical decoupling sequences
• Concatenated Control Sequences based on Optimized Dynamic Decoupling
• Dynamical decoupling leads to improved scaling in noisy quantum metrology
• Noise-resilient quantum evolution steered by dynamical decoupling
• Protecting conditional quantum gates by robust dynamical decoupling
• Protection of quantum systems by nested dynamical decoupling
• Robustness of dynamical decoupling sequences
• Long-time electron spin storage via dynamical suppression of hyperfine-induced decoherence in a quantum dot
• Dynamical control of electron spin coherence in a quantum dot
• Limits on Preserving Quantum Coherence using Multi-Pulse Control
• Quadratic Dynamical Decoupling: Universality Proof and Error Analysis
• Optimally combining dynamical decoupling and quantum error correction
• Dynamical decoupling of spin ensembles with strong anisotropic interactions
• Towards optimized suppression of dephasing in systems subject to pulse timing constraints
• The non-vanishing effect of detuning errors in dynamical decoupling based quantum sensing experiments
• Quadratic Dynamical Decoupling with Non-Uniform Error Suppression
• Experimental realization of robust dynamical decoupling with bounded controls in a solid-state spin system
• Effects of stochastic noise on dynamical decoupling procedures

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