Geometric Rydberg quantum gate with shortcuts to adiabaticity

Liao, Kai-Yu; Liu, Xiaohong; Li, Zhi; Du, Yan-Xiong

doi:10.1364/ol.44.004801

Cited by 28 publications

(20 citation statements)

References 20 publications

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“…Finally, during the gate operation, the population of Rydberg states may lead to decoherence [18]. Especially for the case where the Rydberg states are shelved for a while [1,15,[19][20][21][22][23], the decoherence effect is significant. * jsong@hit.edu.cn…”

Section: Introductionmentioning

confidence: 99%

Effective Rabi dynamics of Rydberg atoms and robust high-fidelity quantum gates with a resonant amplitude-modulation field

Wang

et al. 2020

Opt. Lett.

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With a resonant amplitude-modulation field on two Rydberg atoms, we propose a Rydberg antiblockade (RAB) regime, where the Rabi oscillation between collective ground and excited states is induced. A controlled-Z gate can be yielded through a Rabi cycle. Further, several common issues of the RAB gates are solved by modifying the parameter relation. The gate fidelity and the gate robustness against the control error are enhanced with a shaped pulse. The requirement of control precision of the Rydberg-Rydberg interaction strength is relaxed. In addition, the atomic excitation is restrained and therefore the gate robustness against the atomic decay is enhanced.

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Section: Introductionmentioning

confidence: 99%

Effective Rabi dynamics of Rydberg atoms and robust high-fidelity quantum gates with a resonant amplitude-modulation field

Wang

et al. 2020

Opt. Lett.

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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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“…To our knowledge, adiabatic gates making use of a Rydberg dark eigenstate with fewer shaped pulses offer new opportunities, although the requirement for adiabaticity renders the gate slow and susceptible to the decay error [18][19][20][21][22][23][24]. The way of shortcuts to adiabaticity can accelerate the gate operation to some extent [25]. Here we adopt another acceleration approach based on pulse optimization.…”

Section: Introductionmentioning

confidence: 99%

Optimal model for fewer-qubit CNOT gates with Rydberg atoms

Li¹,

Li²,

Yu³

et al. 2021

Preprint

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Fewer-qubit quantum logic gate, serving as a basic unit for constructing universal multiqubit gates, has been widely applied in quantum computing and quantum information. However, traditional constructions for fewer-qubit gates often utilize a multi-pulse protocol which inevitably suffers from serious intrinsic errors during the gate execution. In this article, we report an optimal model about universal two-and three-qubit CNOT gates mediated by excitation to Rydberg states with easily-accessible van der Waals interactions. This gate depends on a global optimization to implement amplitude and phase modulated pulses via genetic algorithm, which can facilitate the gate operation with fewer optical pulses. Compared to conventional multi-pulse piecewise schemes, our gate can be realized by simultaneous excitation of atoms to the Rydberg states, saving the time for multi-pulse switching at different spatial locations. Our numerical simulations show that a single-pulse two(three)-qubit CNOT gate is possibly achieved with a fidelity of 99.23%(90.39%) for two qubits separated by 7.10 µm when the fluctuation of Rydberg interactions is excluded. Our work is promising for achieving fast and convenient multiqubit quantum computing in the study of neutral-atom quantum technology.

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Geometric Rydberg quantum gate with shortcuts to adiabaticity

Cited by 28 publications

References 20 publications

Effective Rabi dynamics of Rydberg atoms and robust high-fidelity quantum gates with a resonant amplitude-modulation field

Effective Rabi dynamics of Rydberg atoms and robust high-fidelity quantum gates with a resonant amplitude-modulation field

Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Optimal model for fewer-qubit CNOT gates with Rydberg atoms

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