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Nonadiabatic holonomic quantum computation~(NHQC) provides an essential way to construct robust and high-fidelity quantum gates due to its geometric features. However, NHQC is more sensitive to the decay and dephasing errors than…

Quantum Physics · Physics 2023-03-10 Bao-Jie Liu , Lei-Lei Yan , Yuan Zhang , Man-Hong Yung , Erjun Liang , Shi-Lei Su , Chong-Xin Shan

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…

Quantum Physics · Physics 2007-05-23 L. -A. Wu , P. Zanardi , D. A. Lidar

The implementation of holonomic quantum computation is meaningful. We can effectively resist local and collective noise in the process of physical implementation by using the advantage of non-Abelian geometric phase. In this paper, we set…

Quantum Physics · Physics 2025-05-06 Yong-Sen Chen , Jing Gao , Li-Na Ji

For circuit-based quantum computation, experimental implementation of universal set of quantum logic gates with high-fidelity and strong robustness is essential and central. Quantum gates induced by geometric phases, which depend only on…

Quantum Physics · Physics 2023-07-28 Ming-Zhong Ai , Sai Li , Ran He , Zheng-Yuan Xue , Jin-Ming Cui , Yun-Feng Huang , Chuan-Feng Li , Guang-Can Guo

A cavity QED implementation of the non-adiabatic holonomic quantum computation in decoherence-free subspaces is proposed with nitrogen-vacancy centers coupled commonly to the whispering-gallery mode of a microsphere cavity, where a…

Quantum Physics · Physics 2015-05-21 Jian Zhou , Wei-Can Yu , Yu-Mei Gao , Zheng-Yuan Xue

Quantum computation based on geometric phase is generally believed to be more robust against certain errors or noises than the conventional dynamical strategy. However, the gate error caused by the decoherence effect is inevitable, and thus…

Quantum Physics · Physics 2021-10-13 Pu Shen , Tao Chen , Zheng-Yuan Xue

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…

Nonadiabatic holonomic quantum computation has been proposed as a method to implement quantum logic gates with robustness comparable to that of adiabatic holonomic gates but with shorter execution times. In this paper, we establish an…

Quantum Physics · Physics 2024-06-26 Ole Sönnerborn

Implementing holonomic quantum computation is a challenging task as it requires complicated interaction among multilevel systems. Here we propose to implement nonadiabatic holonomic quantum computation based on dressed-state qubits in…

Quantum Physics · Physics 2017-05-31 Zheng-Yuan Xue , Feng-Lei Gu , Zhuo-Ping Hong , Zi-He Yang , Dan-Wei Zhang , Yong Hu , J. Q. You

Quantum information processing requires a high degree of isolation from the detrimental effects of the environment as well as an extremely precise level of control on the way quantum dynamics unfolds in the information-processing system. In…

Quantum Physics · Physics 2014-04-07 J. Zhang , L. -C. Kwek , Erik Sjöqvist , D. M. Tong , P. Zanardi

The challenge in building high-fidelity quantum gates lies in overcoming control errors and decoherence effects caused by the coupling between the quantum system and the external environment. Nonadiabatic holonomic quantum computation uses…

Quantum Physics · Physics 2025-11-04 Yue Heng Liu , Qi Li

Previous schemes of nonadiabatic holonomic quantum computation were focused mainly on realizing a universal set of elementary gates. Multiqubit controlled gates could be built by decomposing them into a series of the universal gates. In…

Quantum Physics · Physics 2019-12-23 P. Z. Zhao , G. F. Xu , D. M. Tong

Adiabatic quantum gate implementation generally takes longer time, which is disadvantageous in view of decoherence. In this report we implement several essential one-qubit quantum gates nonadiabatically by making use of a dynamical…

Quantum Physics · Physics 2014-04-10 Takumi Nitanda , Utkan Güngördü , Mikio Nakahara

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

The nonadiabatic geometric quantum computation is promising as it is robust against certain types of local noises. However, its experimental implementation is challenging due to the need of complex control on multi-level and/or multiple…

Quantum Physics · Physics 2018-11-28 Tao Chen , Zheng-Yuan Xue

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

The schmeme of nonadiabatic holonomic quantum computation (NHQC) offers an error-resistant method for implementing quantum gates, capable of mitigating certain errors. However, the conventional NHQC schemes often entail longer operations…

Quantum Physics · Physics 2024-10-11 Yuan-Sheng Wang , Zhaofeng Su , Xiaosong Chen , Man-Hong Yung

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…

Quantum Physics · Physics 2020-03-31 Guo-An Yan , Jia-Xin Chen , Hua Lu , Ai-Xi Chen

We implement a non-adiabatic universal set of holonomic quantum gates based on abelian holonomies using dynamical invariants, by Lie-algebraic methods. Unlike previous implementations, presented scheme does not rely on secondary methods…

Quantum Physics · Physics 2014-02-10 Utkan Güngördü , Yidun Wan , Mikio Nakahara

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…

Quantum Physics · Physics 2018-12-27 Bi-Hua Huang , Yi-Hao Kang , Zhi-Cheng Shi , Jie Song , Yan Xia