Nonadiabatic holonomic quantum computation using Rydberg blockade

Kang, Yi‐Hao; Chen, Ye‐Hong; Shi, Zhi‐Cheng; Huang, Bi‐Hua; Song, Jie; Xia, Yan

doi:10.1103/physreva.97.042336

Cited by 76 publications

(35 citation statements)

References 123 publications

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“…The nonadiabatic geometric gates of NGQC and NHQC have been experimentally demonstrated in many systems including superconducting qubit [57][58][59][60][61], NMR [62][63][64][65], NV center in diamond [66][67][68][69]. However, there are many theoretical proposals to apply geometric quantum computation [70][71][72][73] and NGQC [42,[74][75][76][77] in Rydberg atom platform. To further speed up the NGQC scheme, NGQC is incorporated with the time-optimal technology to realize the geometric gate with the minimum gate under the framework of cyclic evolution [78][79][80].…”

Section: Introductionmentioning

confidence: 99%

Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Liu

Yung

2020

Phys. Rev. Research

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Nonadiabatic geometric quantum computation (NGQC) has been developed to realize fast and robust geometric gate. However, the conventional NGQC is that all of the gates are performed with exactly the same amount of time, whether the geometric rotation angle is large or small, due to the limitation of cyclic condition. Here, we propose an unconventional scheme, called nonadiabatic noncyclic geometric quantum computation (NNGQC), that arbitrary single-and two-qubit geometric gate can be constructed via noncyclic non-Abelian geometric phase. Consequently, this scheme makes it possible to accelerate the implemented geometric gates against the effects from the environmental decoherence. Furthermore, this extensible scheme can be applied in various quantum platforms, such as superconducting qubit and Rydberg atoms. Specifically, for single-qubit gate, we make simulations with practical parameters in neutral atom system to show the robustness of NNGQC and also compare with NGQC using the recent experimental parameters to show that the NNGQC can significantly suppress the decoherence error. In addition, we also demonstrate that nontrivial two-qubit geometric gate can be realized via unconventional Rydberg blockade regime within current experimental technologies. Therefore, our scheme provides a promising way for fast and robust neutral-atom-based quantum computation.

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Section: Introductionmentioning

confidence: 99%

Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Liu

Yung

2020

Phys. Rev. Research

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“…In contrast to Ref. [45] which con-struct NHQC gates via shortcut-to-adiabaticity between two single atoms, the basic dynamical process is different. And our scheme focuses on the ensemble qubit and also studies how to further enhance the robustness via the optimal control method.…”

Section: V1 Theory Comparisonmentioning

confidence: 84%

“…According to the cause of conditional operations, we have dynamical gates and geometric gates [41][42][43][44][45][46][47][48][49][50]. Depending on numbers of Rydberg states populated in gate operations, these schemes can be divided into blockade [1,[18][19][20][21][22][23][24][25][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50], Rydberg dressing [1,20,26,27], antiblockade [1,28,29], towards two-excitation Rydberg state [30], dipole-dipole resonant interaction [31], and Förster resonance [32,34]. From the number of atoms involved in quantum computation, these schemes can be classified as single atoms scheme [18][19][20]…”

Section: Introductionmentioning

confidence: 99%

Optimized geometric quantum computation with a mesoscopic ensemble of Rydberg atoms

et al. 2020

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We propose a nonadiabatic non-Abelian geometric quantum operation scheme to realize universal quantum computation with mesoscopic Rydberg atoms. A single control atom entangles a mesoscopic ensemble of target atoms through long-range interactions between Rydberg states. We demonstrate theoretically that both the single qubit and two-qubit quantum gates can achieve high fidelities around or above 99.9% in ideal situations. Besides, to address the experimental issue of Rabi frequency fluctuation (Rabi error) in Rydberg atom and ensemble, we apply the dynamical-invariantbased zero systematic-error sensitivity (ZSS) optimal control theory to the proposed scheme. Our numerical simulations show that the average fidelity could be 99.98% for single ensemble qubit gate and 99.94% for two-qubit gate even when the Rabi frequency of the gate laser acquires 10% fluctuations. We also find that the optimized scheme can also reduce errors caused by higher-order perturbation terms in deriving the Hamiltonian of the ensemble atoms. To address the experimental issue of decoherence error between the ground state and Rydberg levels in Rydberg ensemble, we introduce a dispersive coupling regime between Rydberg and ground levels, based on which the Rydberg state is adiabatically discarded. The numerical simulation demonstrate that the quantum gate is enhanced. By combining strong Rydberg atom interactions, nonadiabatic geometric quantum computation, dynamical invariant and optimal control theory together, our scheme shows a new route to construct fast and robust quantum gates with mesoscopic atomic ensembles. Our study contributes to the ongoing effort in developing quantum information processing with Rydberg atoms trapped in optical lattices or tweezer arrays.

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“…To date, many NHQC+ schemes have been put forward in different physical systems, for example, superconducting circuit [28][29][30], spin qubits [31,32], and Rydberg atoms [33][34][35][36]. The Rydberg atom system is one promising candidate platform for physical implementation of quantum computing due to its long coherence time and strong interatomic interaction [37][38][39][40][41][42][43][44][45][46][47][48][49][50][51]. In Rydberg atom systems, the most representative phenomenon is Rydberg blockade [52,53].…”

Section: Introductionmentioning

confidence: 99%

Optimized nonadiabatic holonomic quantum computation based on Förster resonance in Rydberg atoms

Liu¹,

Shen²,

Zheng³

et al. 2021

Preprint

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In this paper, we propose a scheme for implementing the nonadiabatic holonomic quantum computation (NHQC+) of two Rydberg atoms by using invariant-based reverse engineering (IBRE). The scheme is based on Förster resonance induced by strong dipole-dipole interaction between two Rydberg atoms, which provides a selective coupling mechanism to simply the dynamics of system. Moreover, for improving the fidelity of the scheme, the optimal control method is introduced to enhance the gate robustness against systematic errors. Numerical simulations show the scheme is robust against the random noise in control fields, the deviation of dipole-dipole interaction, the Förster defect, and the spontaneous emission of atoms. Therefore, the scheme may provide some useful perspectives for the realization of quantum computation with Rydberg atoms.

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Nonadiabatic holonomic quantum computation using Rydberg blockade

Cited by 76 publications

References 123 publications

Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Optimized geometric quantum computation with a mesoscopic ensemble of Rydberg atoms

Optimized nonadiabatic holonomic quantum computation based on Förster resonance in Rydberg atoms

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