Effects of time reversal symmetry in dynamical decoupling

Abstract

Dynamical decoupling (DD) is a technique for preserving the coherence of quantum mechanical states in the presence of a noisy environment. It uses sequences of inversion pulses to suppress the environmental perturbations by periodically refocusing them. It has been shown that different sequences of inversion pulses show vastly different performance, in particular also concerning the correction of experimental pulse imperfections. Here, we investigate specifically the role of time-reversal symmetry in the building-blocks of the pulse sequence. We show that using time symmetric building blocks often improves the performance of the sequence compared to sequences formed by time asymmetric building blocks. Using quantum state tomography of the echoes generated by the sequences, we analyze the mechanisms that lead to loss of fidelity and show how they can be compensated by suitable concatenation of symmetry-related blocks of decoupling pulses.

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• Robustness of dynamical decoupling sequences
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• Optimized Dynamical Decoupling via Genetic Algorithms
• Experimental protection of quantum gates against decoherence and control errors
• Robust millisecond coherence times of erbium electron spins
• Evolution of tripartite entangled states in a decohering environment and their experimental protection using dynamical decoupling
• Long Spin Coherence and Relaxation Times in Nanodiamonds Milled from Polycrystalline ${}^{12}$C Diamond
• Concatenated dynamical decoupling with virtual pulses
• Reviving the precision of multiple entangled probes in an open system by simple $\pi$-pulse sequences
• Process tomography of Robust Dynamical Decoupling in Superconducting Qubits
• Synergistic Dynamical Decoupling and Circuit Design for Enhanced Algorithm Performance on Near-Term Quantum Devices
• Improving the Performance of Digitized Counterdiabatic Quantum Optimization via Algorithm-Oriented Qubit Mapping
• Engineering Precise and Robust Effective Hamiltonians