Open-loop quantum control of small-size networks for high-order cumulants and cross-correlations sensing
arxiv(2024)
摘要
Quantum control techniques represent one of the most efficient tools to
attain high-fidelity quantum operations and a convenient approach for quantum
sensing and quantum noise spectroscopy. In this work, we investigate dynamical
decoupling while processing an entangling two-qubit gate based on an Ising-xx
interaction, each qubit being affected by pure dephasing classical correlated
1/ f -noises. To evaluate the gate error, we used the Magnus expansion
introducing generalized filter functions that describe decoupling while
processing and allow us to derive an approximate analytic expression as a
hierarchy of nested integrals of noise cumulants. The error is separated in
contributions of Gaussian and non-Gaussian noise, the corresponding generalized
filter functions being calculated up to the fourth order. By exploiting the
properties of selected pulse sequences, we show that it is possible to extract
the second-order statistics (spectrum and cross-spectrum) and to highlight
non-Gaussian features contained in the fourth-order cumulant. We discuss the
applicability of these results to state-of-the-art small networks based on
solid-state platforms.
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