检索结果-南通市图书馆

Nonadiabatic holonomic quantum computation and its optimal control

Science China(Information Sciences) 2023年第8期66卷 23-44页

作者： Yan LIANG Pu SHEN Tao CHEN Zheng-Yuan XUE Key Laboratory of Atomic and Subatomic Structure and Quantum Control (Ministry of Education) School of Physics South China Normal University Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials Guangdong-Hong Kong Joint Laboratory of Quantum Matter Frontier Research Institute for PhysicsSouth China Normal University Hefei National Laboratory

The geometric phase has the intrinsic property of being resistant to some types of local noises as it only depends on global properties of the evolution path. Meanwhile, the non-Abelian geometric phase is in the matrix form, and thus can naturally be used to implement high performance quantum gates,i.e., the so-called holonomic quantum computation. This article reviews recent advances in nonadiabatic holonomic quantum computation, and focuses on various optimal control approaches that can improve the gate performance, in terms of gate fidelity and robustness. Besides, we also pay special attention to its possible physical realizations and some concrete examples of experimental realizations. Finally, with all these efforts, within state-of-the-art technology, the performance of the implemented holonomic quantum gates can outperform the conventional dynamical ones, under certain conditions.

关键词： quantum computation geometric phases quantum gates optimal control

来源：

同方期刊数据库评论

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Dynamical-corrected nonadiabatic geometric quantum computation

引用

Frontiers of physics 2023年第6期18卷 263-273页

作者： Cheng-Yun Ding Li Chen Li-Hua Zhang Zheng-Yuan Xue School of Mathematics and Physics Anqing Normal UniversityAnqing 246133China Key Laboratory of Atomic and Subatomic Structure and Quantum Control(Ministry of Education) and School of PhysicsSouth China Normal UniversityGuangzhou 510006China School of Electronic Engineering and Intelligent Manufacturing Anqing Normal UniversityAnqing 246133China Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials Guangdong-Hong Kong Joint Laboratory of Quantum Matterand Frontier Research Institute for PhysicsSouth China Normal UniversityGuangzhou 510006China

Recently,nonadiabatic geometric quantum computation has been received great attentions,due to its fast operation and intrinsic error resilience.However,compared with the corresponding dynamical gates,the robustness of implemented nonadiabatic geometric gates based on the conventional single-loop geometric scheme still has the same order of magnitude due to the requirement of strict multi-segment geometric controls,and the inherent geometric fault-tolerance characteristic is not fully explored.Here,we present an effective geometric scheme combined with a general dynamical-corrected technique,with which the super-robust nonadiabatic geometric quantum gates can be constructed over the conventional single-loop geometric and two-loop composite-pulse geometric strategies,in terms of resisting the systematic error,i.e.,σ_(x)error.In addition,combined with the decoherence-free subspace(DFS)coding,the resulting geometric gates can also effectively suppress theσ_(z)error caused by the collective dephasing.Notably,our protocol is a general one with simple experimental setups,which can be potentially implemented in different quantum systems,such as Rydberg atoms,trapped ions and superconducting qubits.These results indicate that our scheme represents a promising way to explore large-scale fault-tolerant quantum computation.

关键词： geometric phases dynamical-corrected gates fault-tolerant quantum computation

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Experimental realization of nonadiabatic geometric gates with a superconducting Xmon qubit

引用

Science China(Physics,Mechanics & Astronomy) 2021年第5期64卷 2-9页

作者： PeiZi Zhao ZhangJingZi Dong ZhenXing Zhang GuoPing Guo DianMin Tong Yi Yin Deparment of Physies Shandong Universiry Jinan 250100 China Department of Physics Zhejiang UniversityHangzhou 310027China Key Labortlory of Quanwum Information University of Science and Technology of ChinaHefei 230026China Origin Quantum Computing Hefei 230026China

geometric phases are only dependent on evolution paths but independent of evolution details so that they possess some intrinsic noise-resilience features. Based on different geometric phases, various quantum gates have been proposed, such as nonadiabatic geometric gates based on nonadiabatic Abelian geometric phases and nonadiabatic holonomic gates based on nonadiabatic nonAbelian geometric phases. Up to now, nonadiabatic holonomic one-qubit gates have been experimentally demonstrated with superconducting transmons, where the three lowest levels are all utilized in operation. However, the second excited state of transmons has a relatively short coherence time, which results in a decreased fidelity of quantum gates. Here, we experimentally realize Abelian-geometric-phase-based nonadiabatic geometric one-qubit gates with a superconducting Xmon qubit. The realization is performed on the two lowest levels of an Xmon qubit and thus avoids the influence from the short coherence time of the second excited state. The experimental result indicates that the average fidelities of single-qubit gates can be up to 99.6% and 99.7% characterized by quantum process tomography and randomized benchmarking.

关键词： geometric phases geometric quantum computation superconducting qubit

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Critical Property of the geometric Phase in the Dicke Model with the Dipole-dipole Interactions

引用

Journal of Materials Science & Technology 2008年第6期24卷 960-962页

作者： Yunfeng WU Ping ZHANG Jianzhou ZHENG College of science Dalian Nationalities University Dalian 116600 China

We obtained the ground-state energy level and associated geometric phase in the Dicke model with the dipoledipole interactions analytically by the Holstein-Primakoff transformation and the boson expansion approach in the thermodynamic limit. The nonadiabatic geometric phase induced by the photon field was derived with the time-dependent unitary transformation. It is shown that dipole-dipole interactions have a deep influence on scaled behavior of the geometric phase at the critical point.

关键词： geometric phases Quantum phase transition Dipole-dipole interactions

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：