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Obtaining high-fidelity and robust quantum gates is the key for scalable quantum computation, and one of the promising ways is to implement quantum gates using geometric phases, where the influence of local noises can be greatly reduced. To…

量子物理 · 物理学 2021-10-07 Zhi-Cheng He , Zheng-Yuan Xue

Standard adiabatic protocols for superconducting qubits often face a trade-off between gate speed and decoherence. In this work, using IBM Quantum 127-qubit processors (ibm_fez and ibm_kingston), we report the discovery of a fundamental…

介观与纳米尺度物理 · 物理学 2026-05-15 A. M. Tishin

Geometric phase, associated with holonomy transformation in quantum state space, is an important quantum-mechanical effect. Besides fundamental interest, this effect has practical applications, among which geometric quantum computation is a…

Geometric phases accompanying adiabatic quantum evolutions can be used to construct robust quantum control for quantum information processing due to their noise-resilient feature. A significant development along this line is to construct…

Unitary quantum gates constitute the building blocks of Quantum Computing in the circuit paradigm. In this work, we engineer a locally driven two-qubit Hamiltonian whose instantaneous ground-state dynamics generates the controlled-NOT…

Universal computation of a quantum system consisting of superpositions of well-separated coherent states of multiple harmonic oscillators can be achieved by three families of adiabatic holonomic gates. The first gate consists of moving a…

We show how to realize, by means of non-abelian quantum holonomies, a set of universal quantum gates acting on decoherence-free subspaces and subsystems. In this manner we bring together the quantum coherence stabilization virtues of…

量子物理 · 物理学 2007-05-23 L. -A. Wu , P. Zanardi , D. A. Lidar

Geometric phase is a promising element to induce high-fidelity and robust quantum operations due to its built-in noise-resilience feature. Unfortunately, its practical applications are usually circumscribed by requiring complex interactions…

量子物理 · 物理学 2020-12-08 Tao Chen , Zheng-Yuan Xue

In the holonomic approach to quantum computation information is encoded in a degenerate eigenspace of a parametric family of Hamiltonians and manipulated by the associated holonomic gates. These are realized in terms of the non-abelian…

量子物理 · 物理学 2009-10-31 Jiannis Pachos , Paolo Zanardi , Mario Rasetti

Nonadiabatic holonomic quantum computation has attracted increasing interest because of its robustness. In this paper, based on the shortcuts to adiabaticity (STA), we propose a scheme to construct a three-qubit nonadiabatic holonomic gate…

量子物理 · 物理学 2018-12-27 Bi-Hua Huang , Yi-Hao Kang , Zhi-Cheng Shi , Jie Song , Yan Xia

The possibility of realization of quantum gates by means of the non-adiabatic geometric phase is considered. It is shown that the non-adiabatic phase can be used for quantum gates realization as well as the adiabatic one.

量子物理 · 物理学 2009-11-07 A. E. Shalyt-Margolin , V. I. Strazhev , A. Ya. Tregubovich

The geometric phase stands as a foundational concept in quantum physics, revealing deep connections between geometric structures and quantum dynamical evolution. Unlike dynamical phases, geometric phases exhibit intrinsic resilience to…

量子物理 · 物理学 2025-12-03 Zheng-Yuan Xue , Cheng-Yun Ding

In this paper we study the implementation of non-adiabatic geometrical quantum gates with in semiconductor quantum dots. Different quantum information enconding/manipulation schemes exploiting excitonic degrees of freedom are discussed. By…

量子物理 · 物理学 2009-11-10 Paolo Solinas , Paolo Zanardi , Nino Zangh\`ı , Fausto Rossi

Geometric quantum computation relies on the geometric phase that arises in adiabatic cyclic evolutions of non-degenerate quantum systems, enabling the design of robust quantum gates. However, the adiabatic condition requires long evolution…

量子物理 · 物理学 2025-09-11 M. Estefanía Rus , Alejandro Ferrón , Omar Osenda , Sergio S. Gomez

The high-speed implementation and robustness against of non-adiabatic holonomic quantum computation provide a new idea for overcoming the difficulty of quantum system interacting with the environment easily decoherence, which realizing…

量子物理 · 物理学 2020-03-31 Guo-An Yan , Jia-Xin Chen , Hua Lu , Ai-Xi Chen

Non-adiabatic holonomic quantum computation in decoherence-free subspaces protects quantum information from control imprecisions and decoherence. For the non-collective decoherence that each qubit has its own bath, we show the…

量子物理 · 物理学 2016-01-13 Chunfang Sun , Gangcheng Wang , Chunfeng Wu , Haodi Liu , Xun-Li Feng , Jing-Ling Chen , Kang Xue

Nonadiabatic holonomic quantum computation (NHQC) leverages non-Abelian geometric phases within a nonadiabatic framework to achieve fast and robust quantum gate operations. However, the practical implementation of NHQC is challenged by the…

量子物理 · 物理学 2025-09-17 Hai Xu , Wanchun Li , Tao Chen , Kejin Wei , Chengxian Zhang

Nonadiabatic holonomic quantum computation provides the means to perform fast and robust quantum gates by utilizing the resilience of non-Abelian geometric phases to fluctuations of the path in state space. While the original scheme [New J.…

量子物理 · 物理学 2016-11-14 Emmi Herterich , Erik Sjöqvist

In the context of Rydberg anti-blockade, this paper proposes a new scheme for a high-fidelity controlled-unitary gate based on non-adiabatic holonomic quantum computation. Under specific detuning and interaction conditions, the scheme…

量子物理 · 物理学 2026-03-19 Le-Jiang Yu , Jia Zheng , Kun Pu , Chao Gao

Quantum computation has demonstrated advantages over classical computation for special hard problems, where a set of universal quantum gates is essential. Geometric phases, which have built-in resilience to local noise, have been used to…

量子物理 · 物理学 2023-02-21 Yan Liang , Pu Shen , Li-Na Ji , Zheng Yuan Xue