Research progress of superconductor and cold atoms hybrid quantum system

Lv Qing-Xian; Li Sai; Tu Hai-Tao; Liao Kai-Yu; Liang Zhen-Tao; Yan Hui; Zhu Shi-Liang

doi:10.7498/aps.72.20230985

Abstract

The hybrid quantum system composed of superconductor and cold atoms is expected to achieve fast quantum gates, long-life quantum storage and long-distance transmission through optical fibers, making it one of the most promising hybrid quantum systems to realize optical interconnection between two superconducting quantum computers. In this paper, we comprehensively review the recent research advancements in the optical interconnection of two superconducting quantum computers, based on the superconductor and cold atoms hybrid quantum system, specifically the review covers the coherent coupling between superconducting chips and cold atoms, the coherent microwave-to-optics conversion, and the long-range microwave interconnection between superconducting qubits and quantum converters. The system is expected to provide a physical and technical foundation for practical optical-fiber interconnection of two superconducting quantum computers, and have broad applications in distributed superconducting quantum computation and hybrid quantum networks.

Keywords:

Authors and contacts

1.
Key Laboratory of Atomic and Subatomic Structure and Quantum Control (Ministry of Education), School of Physics, South China Normal University, Guangzhou 510006, China
2.
Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, South China Normal University, Guangzhou 510006, China
3.
Frontier Research Institute for Physics, Guangdong-Hong Kong Joint Laboratory of Quantum Matter, South China Normal University, Guangzhou 510006, China

Corresponding author: Liang Zhen-Tao, ztliangscnu@163.com

Funds: Project supported by the Innovation Program for Quantum Science and Technology, China (Grant No. 2021ZD0301705), the National Natural Science Foundation of China (Grant Nos. 12104168, 12074132, 12225405, 12247123, 12304287, U20A2074, 12074180), the National Key Research and Development Program of China (Grant Nos. 2022YFA1405300, 2022YFA1405303, 2020YFA0309500), the China Postdoctoral Science Foundation (Grant Nos. 2022M721222, 2023T160233), the Basic and Applied Basic Research Foundation of Guangdong Province, China (Grant Nos. 2021A1515110668, 2023A1515011550), and the Science and Technology Program of Guangzhou, China (Grant No. 202201010533).

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Cited By

图 1 超导原子芯片　(a) Z型超导线 (单位为mm); (b) 微磁阱中的冷原子囚禁; (c) 微磁阱中原子囚禁寿命

Figure 1. Superconducting atom chip: (a) Z-type superconducting wire (in mm); (b) cold atoms confined in the superconducting microtrap; (c) the lifetime of atoms trapped in the microtrap.

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图 2 超导LC谐振腔芯片设计与测试　(a) 超导LC谐振腔COMSOL模型; (b) 在3.8 K温度下腔频为6.84 GHz的超导LC谐振腔芯片的|S₂₁|曲线及其Q值; (c) 超导LC谐振腔频率随温度变化, 当温度为4.45 K时, 可以实现LC谐振腔与冷原子的共振耦合

Figure 2. Design and test results of superconducting LC resonator: (a) Model of superconducting LC resonator by COMSOL software; (b) microwave transmission |S₂₁| at 3.8 K of superconducting LC resonator with center frequency of 6.84 GHz and its corresponding Q factor; (c) the frequencies of superconducting LC resonator varies with temperature. When the temperature is 4.45 K, the resonant coupling between LC resonator and cold atoms can be realized.

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图 3 超导LC谐振腔芯片与冷原子相干耦合　(a) 超导LC谐振腔芯片尺寸(单位为mm); (b), (c) Z型超导原子芯片与超导LC谐振腔定位原理图与实物图

Figure 3. Coherent coupling between superconducting LC resonator and cold atoms: (a) Size of superconducting LC resonator (in mm); (b), (c) positioning schematic diagram and physical diagram of Z-type superconducting atom chip and superconducting LC resonator

DownLoad: Full-Size Img PowerPoint

图 4 基于冷⁸⁷Rb原子系综六波混频的毫米波-光波转换方案　(a) 毫米波透镜聚焦毫米波的毫米波-光波转换方案; (b) 波导收束毫米波的毫米波-光波转换方案; (c) 毫米波-光波转换方案原子能级图^[35]

Figure 4. Millimeter-wave-to-optics conversion via six-wave mixing based on cold ⁸⁷Rb atomic ensembles: (a) Millimeter-wave-to-optics conversion with mm-wave fields focused by dielectric lenses; (b) millimeter-wave-to-optics conversion with mm-wave fields confined by waveguide; (c) six-level system of millimeter-wave-to-optics conversion^[35].

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图 5 基于非共振散射的微波-光波转换　(a) 六能级系统; (b) 转换效率和原子暗态布局数随光学厚度的变化; (c) 最大转换效率与激光失谐、里德伯退相率的依赖关系^[30]

Figure 5. Microwave-to-optics conversion via off-resonant scattering: (a) Six-level system; (b) conversion efficiency and dark-state probability versus optical density; (c) maximum conversion efficiency versus detunings of probe laser and dephasing rates of Rydberg state^[30].

DownLoad: Full-Size Img PowerPoint

图 6 微波光波相干转换实验结果　(a) 实验构架与时序; (b) 微波光波的波形以及光外差检测结果; (c) 探测光与产生光的谱线; (d) 全共振及非共振的微波频率上转换随光学厚度的变化^[30]

Figure 6. Experimental results of microwave-to-optics conversion: (a) Experimental setup and time sequence; (b) temporal waveforms of the input microwave pulse and output optical pulses, and the relative phase of a heterodyne signal for the phase-modulated microwave; (c) spectra of transmission and generated optical power; (d) power P_L of output optical pulses versus optical depth for off-resonant and near-resonant scatterings^[30].

DownLoad: Full-Size Img PowerPoint

图 7 基于四波混频的光学光子与毫米波光子相干转换　(a) 实验方案, 左图为转换所需的原子能级和波长, 右图为毫米波光波转换接口的内部结构; (b) 实物图; (c) 超导腔和光腔的横截面图; (d) 空光腔的传输特性曲线, 半高全宽$ {\kappa }_{{\rm{o}}{\rm{p}}{\rm{t}}} $ = 2π × 1.7 MHz; (e) 在5 K温区的超导毫米波谐振腔的反射谱, 半高全宽$ {\kappa }_{{\rm{m}}{\rm{m}}} $ = 2π × 800 kHz^[28]

Figure 7. Millimeter-wave-to-optics conversion via four-wave mixing: (a) Schematic of the system, atomic energy levels and wavelengths of light involved in transduction (left), internal structure of the optical and mmwave interface (right); (b) image of the physical hybrid cavity; (c) expanded view of the main assembly; (d) bare optical cavity transmission with full-width half-maximum (FWHM) linewidth $ {\kappa }_{{\rm{o}}{\rm{p}}{\rm{t}}} $ = 2π × 1.7 MHz; (e) reflection spectrum of the superconducting mm wave cavity at 5 K with FWHM linewidth $ {\kappa }_{{\rm{m}}{\rm{m}}} $ = 2π × 800 kHz^[28].

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图 8 基于热⁸⁷Rb原子系综三波混频的微波-光波转换　(a) 频分多路复用原子转换器方案; (b) 微波腔-铷泡复合系统示意图; (c) 微波-光波转换能级图^[29]

Figure 8. Microwave-to-optics conversion via three-wave mixing based on thermal ⁸⁷Rb atomic ensembles: (a) Schematic of the atomic frequency-division multiplexing scheme; (b) the microwave cavity-vapor cell hybrid system; (c) three-level system of microwave-to-optics conversion^[29].

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图 9 15 mK超导量子比特与1 K冷台附近里德伯冷原子基于1 K热耦合腔长程互联的实验装置示意图^[40]

Figure 9. Schematic of the hybrid system. A superconducting transmon qubit (red) on chip 1 anchored to a 15 mK plate resonantly couples with a standing mode of a superconducting coaxial-cable cavity (green) via a tunable coupler (orange cross). A superconducting LC resonator (blue) on chip 2 anchored to a 1 K plate resonantly couples with the same coaxial-cable cavity and a Rydberg-atom qubit (purple)^[40].

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图 10 数值仿真结果　(a)保真度与腔腔耦合强度J和腔Q值的依赖关系; (b)并发度与腔腔耦合强度J和腔Q值的依赖关系^[40]

Figure 10. Simulation results: (a) Fidelity versus the cavity-resonator coupling strength J and the internal Q factor; (b) concurrence versus the cavity-resonator coupling strength J and the internal Q factor^[40].

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表 1 超导芯片微波腔与冷原子相干耦合的实验研究进展

Table 1. Experimental research progress on coherent coupling of superconducting-chip microwave resonators and cold atoms.

研究组	图宾根大学^[20]	图宾根大学^[21]	伦敦大学^[22]	华南师大
原子编码态	基态	里德伯态	里德伯态	基态
超导腔形式	共面波导腔	共面波导腔	共面波导腔	LC谐振腔
耦合方式	磁耦合	电耦合	电耦合	磁耦合
耦合强度	$ (2{\text{π}}\times 0.5) $ Hz	$ (2{\text{π}}\times 40) $ kHz	—	待测

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表 2 基于中性原子微波光波相干转换的实验研究进展

Table 2. Experimental research progress of microwave-to-optics conversion based on neutral atoms.

研究组	新加坡国立大学^[31]	华南师大^[30]	芝加哥大学^[28]	阿尔伯塔大学^[29]
原子团温度	冷原子	冷原子	冷原子	热原子
混频形式	六波混频	六波混频	四波混频	三波混频
内转换效率/%	5	82	58	—
总转换效率/%			2.5	$ 3\times {10}^{-9} $
带宽/MHz	15	1	0.36	1.00

DownLoad: CSV

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Vol. 72, Issue 20 - 2023-10-20

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