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Bulk Quantum Computation with Pulsed Electron Paramagnetic Resonance: Simulations of Single-Qubit Error Correction Schemes

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Abstract

We investigate the possibility to restore transient nutations of electron spin centers embedded in the solid using specific composite pulse sequences developed previously for the application in nuclear magnetic resonance spectroscopy. We treat two types of systematic errors simultaneously: (i) rotation angle errors related to the spatial distribution of microwave field amplitude in the sample volume, and (ii) off-resonance errors related to the spectral distribution of Larmor precession frequencies of the electron spin centers. Our direct simulations of the transient signal in erbium- and chromium-doped CaWO\(_{4}\) crystal samples with and without error corrections show that the application of the selected composite pulse sequences can substantially increase the lifetime of Rabi oscillations. Finally, we discuss the applicability limitations of the studied pulse sequences for the use in solid-state electron paramagnetic resonance spectroscopy.

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Acknowledgments

This work was partially funded by Dynasty Foundation. I.K.I. acknowledges the support of RFBR Grant No. 14-02-00826. E.I.B. acknowledges the support of the Russian President Fellowship for Young Scientists (Stipend No. 924.2015.5) and of the subsidy allocated to Kazan Federal University for performing the state assignment in the area of scientific activities.

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Correspondence to I. K. Ishmuratov.

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Ishmuratov, I.K., Baibekov, E.I. Bulk Quantum Computation with Pulsed Electron Paramagnetic Resonance: Simulations of Single-Qubit Error Correction Schemes. J Low Temp Phys 185, 583–589 (2016). https://doi.org/10.1007/s10909-015-1411-x

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