No-go theorem and optimization of dynamical decoupling against noise with soft cutoff

Abstract

We study the performance of dynamical decoupling in suppressing decoherence caused by soft-cutoff Gaussian noise, using short-time expansion of the noise correlations and numerical optimization. For the noise with soft cutoff at high frequencies, there exists no dynamical decoupling scheme to eliminate the decoherence to arbitrary orders of the short time, regardless of the timing or pulse shaping of the control under the population conserving condition. We formulate the equations for optimizing pulse sequences that minimizes decoherence up to the highest possible order of the short time for the noise correlations with odd power terms in the short-time expansion. In particular, we show that the Carr-Purcell-Meiboom-Gill sequence is optimal in short-time limit for the noise correlations with a linear order term in the time expansion.

11 pages, 3 figures

References in corpus (26)

• Optimized Dynamical Decoupling in a Model Quantum Memory
• Fault-Tolerant Quantum Dynamical Decoupling
• How to Enhance Dephasing Time in Superconducting Qubits
• Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
• 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
• Preserving qubit coherence by dynamical decoupling
• Optimal pulse spacing for dynamical decoupling in the presence of a purely-dephasing spin-bath
• Universal dynamical decoherence control of noisy single-and multi-qubit systems
• Performance comparison of dynamical decoupling sequences for a qubit in a rapidly fluctuating spin-bath
• Concatenated Control Sequences based on Optimized Dynamic Decoupling
• Concatenated dynamical decoupling in a solid-state spin bath
• Protection of quantum systems by nested dynamical decoupling
• Dynamical control of electron spin coherence in a quantum dot
• Optimization of Short Coherent Control Pulses
• Limits on Preserving Quantum Coherence using Multi-Pulse Control
• Rigorous Bounds for Optimal Dynamical Decoupling
• Advantages of Randomization in Coherent Quantum Dynamical Control
• Universal Dephasing Control During Quantum Computation
• Concatenated dynamical decoupling with virtual pulses
• Universal Dynamical Control of Local Decoherence for Multipartite and Multilevel Systems
• Dynamical decoupling for a qubit in telegraph-like noises
• Extending quantum control of time-independent systems to time-dependent systems