Learning noise via dynamical decoupling of entangled qubits

McCourt, Trevor; Neill, Charles; Lee, K. W.; Quintana, Chris; Chen, Yu; Kelly, J.; Marshall, Jeffrey; Smelyanskiy, V. N.; Dykman, M. I.; Korotkov, Alexander N.; Chuang, Isaac L.; Petukhov, A.

doi:10.1103/physreva.107.052610

Cited by 8 publications

(1 citation statement)

References 37 publications

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“…Extending the Walsh approach to characterize more complex environments, of either quantum-classical or non-Gaussian nature, is of significant interest for future research. Indeed, the presence of quantum (and/or non-Gaussian) components in the noise has been shown to give rise to novel phenomena, such as anomalous or distinctive decoherence behavior [50][51][52]. Our numerical results demonstrate how the sensitive response of the Walsh reconstruction technique to the quantum spin bath offers a potential advantage in reconstructing quantum-classical environments (see appendix D).…”

Section: Discussionmentioning

confidence: 73%

Digital noise spectroscopy with a quantum sensor

Wang (王国庆),

Zhu,

et al. 2024

Quantum Sci. Technol.

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We introduce and experimentally demonstrate a quantum sensing protocol to sample and reconstruct the autocorrelation of a noise process using a single-qubit sensor under digital control modulation. This Walsh noise spectroscopy method exploits simple sequences of spin-flip pulses to generate a complete basis of digital filters that directly sample the power spectrum of the target noise in the sequency domain, from which the autocorrelation function in the time domain, as well as the power spectrum in the frequency domain, can be reconstructed using linear transformations. Our method, which can also be seen as an implementation of frame-based noise spectroscopy, solves the fundamental difficulty in sampling continuous functions with digital filters by introducing a transformation that relates the arithmetic and logical time domains. In comparison to standard, frequency-based dynamical-decoupling noise spectroscopy protocols, the accuracy of our method is only limited by sampling and discretization in the time domain and can be easily improved, even under limited evolution time due to decoherence and hardware limitations. Finally, we experimentally reconstruct the autocorrelation function of the effective magnetic field produced by the nuclear-spin bath on the electronic spin of a single nitrogen-vacancy center in diamond, discuss practical limitations of the method, and avenues to further improve the reconstruction accuracy.

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Section: Discussionmentioning

confidence: 73%

Digital noise spectroscopy with a quantum sensor

Wang (王国庆),

Zhu,

et al. 2024

Quantum Sci. Technol.

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Assessing and advancing the potential of quantum computing: A NASA case study

Rieffel,

Asanjan,

Alam

et al. 2024

Future Generation Computer Systems

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Open-loop quantum control of small-size networks for high-order cumulants and cross-correlations sensing

D’Arrigo,

Piccitto,

Falci

et al. 2024

Sci Rep

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Quantum control techniques are one of the most efficient tools for attaining 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 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, with the corresponding generalized filter functions 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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Learning noise via dynamical decoupling of entangled qubits

Cited by 8 publications

References 37 publications

Digital noise spectroscopy with a quantum sensor

Digital noise spectroscopy with a quantum sensor

Assessing and advancing the potential of quantum computing: A NASA case study

Open-loop quantum control of small-size networks for high-order cumulants and cross-correlations sensing

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