The dynamical-decoupling-based spatiotemporal noise spectroscopy
Jan Krzywda, Piotr Sza\'nkowski, {\L}ukasz Cywi\'nski

TL;DR
This paper extends dynamical decoupling noise spectroscopy to measure both spatial and temporal noise spectra using a multi-qubit system with coordinated pulse sequences, enabling detailed environmental noise characterization.
Contribution
It introduces a novel spatiotemporal noise spectroscopy method that captures both spatial and temporal noise spectra with multi-qubit systems and tailored pulse sequences.
Findings
Demonstrates extension of noise spectroscopy to spatial domain
Enables reconstruction of 2D spectral density of environmental noise
Provides a new tool for detailed noise environment analysis
Abstract
Here we demonstrate how the standard, temporal-only, dynamical-decoupling-based noise spectroscopy method can be extended to also encompass the spatial degree of freedom. This spatiotemporal spectroscopy utilizes a system of multiple qubits arranged in a line that are undergoing pure dephasing due to environmental noise. When the qubits are driven by appropriately coordinated sequences of pulses the multi-qubit register becomes decoupled from all components of the noise, except for those characterized by frequencies and wavelengths specified by the pulse sequences. This allows for employment of the procedure for reconstruction of the two-dimensional spectral density that quantifies the power distribution among spatial and temporal harmonic components of the noise.
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