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Nonadiabatic geometric quantum computation provides a means to perform fast and robust quantum gates. It has been implemented in various physical systems, such as trapped ions, nuclear magnetic resonance and superconducting circuits.…

Quantum Physics · Physics 2017-12-06 P. Z. Zhao , Xiao-Dan Cui , G. F. Xu , Erik Sjöqvist , D. M. Tong

Geometric phases are robust to local noises and the nonadiabatic ones can reduce the evolution time, thus nonadiabatic geometric gates have strong robustness and can approach high fidelity. However, the advantage of geometric phase has not…

Quantum Physics · Physics 2024-02-22 Yue Chen , Li-Na Ji , Zheng-Yuan Xue , Yan Liang

The non-adiabatic holonomic quantum computation with the advantages of fast and robustness attracts widespread attention in recent years. Here, we propose the first scheme for realizing universal single-qubit gates based on an…

Nonadiabatic holonomic quantum computation (NHQC) has been developed to shorten the construction times of geometric quantum gates. However, previous NHQC gates require the driving Hamiltonian to satisfy a set of rather restrictive…

Quantum Physics · Physics 2019-09-11 Bao-Jie Liu , Xue-Ke Song , Zheng-Yuan Xue , Xin Wang , Man-Hong Yung

Geometric phases are robust against certain types of local noises, and thus provide a promising way towards high-fidelity quantum gates. However, comparing with the dynamical ones, previous implementations of nonadiabatic geometric quantum…

Quantum Physics · Physics 2021-06-09 Sai Li , Jing Xue , Tao Chen , Zheng-Yuan Xue

Nonadiabatic geometric phases are only dependent on the evolution path of a quantum system but independent of the evolution details, and therefore quantum computation based on nonadiabatic geometric phases is robust against control errors.…

Quantum Physics · Physics 2020-06-09 K. Z. Li , P. Z. Zhao , D. M. Tong

High-fidelity quantum gates are essential for large-scale quantum computation, which can naturally be realized in a noise-resilient way. Geometric manipulation and decoherence-free subspace encoding are promising ways toward robust quantum…

Quantum Physics · Physics 2019-08-20 Zhennan Zhu , Tao Chen , Xiaodong Yang , Ji Bian , Zheng-Yuan Xue , Xinhua Peng

Because of using geometric phases, nonadiabatic geometric gates have the robustness against control errors. On the other hand, decoherence still affects nonadiabatic geometric gates, which is a key factor in reducing their fidelities. In…

Quantum Physics · Physics 2022-05-06 Kangze Li , Guofu Xu , Dianmin Tong

We propose an experimentally feasible scheme to achieve quantum computation based on nonadiabatic geometric phase shifts, in which a cyclic geometric phase is used to realize a set of universal quantum gates. Physical implementation of this…

Quantum Physics · Physics 2009-11-07 Shi-Liang Zhu , Z. D. Wang

Quantum gates induced by geometric phases are intrinsically robust against noise due to their global properties of the evolution paths. Compared to conventional nonadiabatic geometric quantum computation (NGQC), the recently proposed…

Quantum Physics · Physics 2021-07-21 J. W. Zhang , L. -L. Yan , J. C. Li , G. Y. Ding , J. T. Bu , L. Chen , S. -L. Su , F. Zhou , M. Feng

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…

Quantum Physics · Physics 2025-12-03 Zheng-Yuan Xue , Cheng-Yun Ding

Quantum computation with quantum gates induced by geometric phases is regarded as a promising strategy in fault tolerant quantum computation, due to its robustness against operational noises. However, because of the parametric restriction…

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…

Quantum Physics · Physics 2023-02-21 Yan Liang , Pu Shen , Li-Na Ji , Zheng Yuan Xue

Nonadiabatic geometric quantum computation (NGQC) has emerged as an excellent proposal for achieving fast and robust quantum control against control errors. However, previous NGQC protocols could not be strongly resilient against the noise…

Quantum Physics · Physics 2023-07-12 Tian-Xiang Hou , Wei Li

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…

Quantum Physics · Physics 2021-10-07 Zhi-Cheng He , Zheng-Yuan Xue

We propose a method to design pulses in a resonant three-level system to enhance the robustness of non-adiabatic geometric gate operations. By optimizing the shape of the pulse envelope, we show that the gate operations are more robust…

Quantum Physics · Physics 2019-03-27 Ying Yan , Jie Lu , Lin Wan , Joel Moser

The key for realizing fault-tolerant quantum computation lies in maintaining the coherence of all qubits so that high-fidelity and robust quantum manipulations on them can be achieved. One of the promising approaches is to use geometric…

Quantum Physics · Physics 2021-10-13 Sai Li , Zheng-Yuan Xue

Using geometric phases to realize noise-resilient quantum computing is an important method to enhance the control fidelity. In this work, we experimentally realize a universal nonadiabatic geometric quantum gate set in a superconducting…

We propose a feasible scheme to implement a universal set of quantum gates based on geometric phases and superadiabatic quantum control. Consolidating the advantages of both strategies, the proposed quantum gates are robust and fast. The…

Quantum Physics · Physics 2016-04-29 Zhen-Tao Liang , Xianxian Yue , Qingxian Lv , Yan-Xiong Du , Wei Huang , Hui Yan , Shi-Liang Zhu

Nonadiabatic geometric quantum computation in decoherence-free subspaces has received increasing attention due to the merits of its high-speed implementation and robustness against both control errors and decoherence. However, all the…

Quantum Physics · Physics 2017-01-04 P. Z. Zhao , G. F. Xu , D. M. Tong