Single-modulated-pulse two-qubit gates for Rydberg atoms with noncyclic geometric control

Fuente: arXiv
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Autores principales: Chen, Zi-Yuan, Liang, Jia-Hao, Fu, Zhao-Xin, Liu, Hong-Zhi, He, Ze-Rui, Wang, 1 Meng, Han, Zhi-Wei, Huang, Jia-Yi, Lv, Qing-Xian, Du, Yan-Xiong
Formato: Preprint
Publicado: 2024
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author Chen, Zi-Yuan
Liang, Jia-Hao
Fu, Zhao-Xin
Liu, Hong-Zhi
He, Ze-Rui
Wang, 1 Meng
Han, Zhi-Wei
Huang, Jia-Yi
Lv, Qing-Xian
Du, Yan-Xiong
author_facet Chen, Zi-Yuan
Liang, Jia-Hao
Fu, Zhao-Xin
Liu, Hong-Zhi
He, Ze-Rui
Wang, 1 Meng
Han, Zhi-Wei
Huang, Jia-Yi
Lv, Qing-Xian
Du, Yan-Xiong
contents Arrays of neutral atoms have emerged as promising platforms for quantum computing. Realization of high-fidelity two-qubit gates with robustness is currently a significant important task for large-scale operations. In this paper, we present a convenient approach for implementing a two-qubit controlled-phase gate using Rydberg blockade. We achieve the noncyclic geometric control with a single modulated pulse. As compared with the control scheme by cyclic evolution that determined by dynamical parameters, the robustness of the proposal against systematic errors will be remarkably improved due to the geometric characteristic. Importantly, the noncyclic geometric control reduces the gate time for small rotation angles and will be more insensitive to the decoherence effect. We accelerate the adiabatic control with the aid of shortcuts to adiabaticity to further shorten the operation time. We apply our protocol to the algorithm of quantum Fourier transformation to show the actual acceleration. Therefore, the proposed scheme will provide an analytical waveforms for arbitrary two-qubit gates and may have important use in the experiments of atomic arrays.
format Preprint
id arxiv_https___arxiv_org_abs_2402_01113
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Single-modulated-pulse two-qubit gates for Rydberg atoms with noncyclic geometric control
Chen, Zi-Yuan
Liang, Jia-Hao
Fu, Zhao-Xin
Liu, Hong-Zhi
He, Ze-Rui
Wang, 1 Meng
Han, Zhi-Wei
Huang, Jia-Yi
Lv, Qing-Xian
Du, Yan-Xiong
Quantum Physics
Arrays of neutral atoms have emerged as promising platforms for quantum computing. Realization of high-fidelity two-qubit gates with robustness is currently a significant important task for large-scale operations. In this paper, we present a convenient approach for implementing a two-qubit controlled-phase gate using Rydberg blockade. We achieve the noncyclic geometric control with a single modulated pulse. As compared with the control scheme by cyclic evolution that determined by dynamical parameters, the robustness of the proposal against systematic errors will be remarkably improved due to the geometric characteristic. Importantly, the noncyclic geometric control reduces the gate time for small rotation angles and will be more insensitive to the decoherence effect. We accelerate the adiabatic control with the aid of shortcuts to adiabaticity to further shorten the operation time. We apply our protocol to the algorithm of quantum Fourier transformation to show the actual acceleration. Therefore, the proposed scheme will provide an analytical waveforms for arbitrary two-qubit gates and may have important use in the experiments of atomic arrays.
title Single-modulated-pulse two-qubit gates for Rydberg atoms with noncyclic geometric control
topic Quantum Physics
url https://arxiv.org/abs/2402.01113