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Nonadiabatic holonomic quantum computation has robust feature in suppressing control errors because of its holonomic feature. However, this kind of robust feature is challenged since the usual way of realizing nonadiabatic holonomic gates…

量子物理 · 物理学 2017-06-14 G. F. Xu , P. Z. Zhao , T. H. Xing , Erik Sjöqvist , D. M. Tong

As a qubit usually has a limited lifetime, its manipulation should be as fast as possible, and thus non-adiabatic operation is more preferable. Moreover, as a qubit inevitably interacts with its surrounding environment, robust operations…

量子物理 · 物理学 2015-03-03 Zheng-Yuan Xue , Wei-Can Yu , Li-Na Yang , Yong Hu

Adiabatic quantum control is a powerful tool for quantum engineering and a key component in some quantum computation models, where accurate control over the timing of the involved pulses is not needed. However, the adiabatic condition…

量子物理 · 物理学 2017-06-14 Bao-Jie Liu , Zhen-Hua Huang , Zheng-Yuan Xue , Xin-Ding Zhang

Holonomic quantum computation uses non-Abelian geometric phases to realize error resilient quantum gates. Nonadiabatic holonomic gates are particularly suitable to avoid unwanted decoherence effects, as they can be performed at high speed.…

量子物理 · 物理学 2019-04-11 Nicklas Ramberg , Erik Sjöqvist

Non-adiabatic holonomic quantum computation has received increasing attention due to its robustness against control errors. However, all the previous schemes have to use at least two sequentially implemented gates to realize a general…

量子物理 · 物理学 2015-11-04 G. F. Xu , C. L. Liu , P. Z. Zhao , D. M. Tong

Quantum operations by utilizing the underlying geometric phases produced in physical systems are favoured due to its potential robustness. When a system in a non-degenerate eigenstate undergoes an adiabatically cyclic evolution dominated by…

量子物理 · 物理学 2024-05-22 Hao-Long Zhang , Yi-Hao Kang , Fan Wu , Zhen-Biao Yang , Shi-Biao Zheng

Nonadiabatic holonomic quantum computation uses non-Abelian geometric phases to implement a universal set of quantum gates that are robust against control imperfections and decoherence. Until now, a number of three-level-based schemes of…

量子物理 · 物理学 2018-11-16 G. F. Xu , D. M. Tong , Erik Sjöqvist

Due to its geometric nature, holonomic quantum computation is fault-tolerant against certain types of control errors. Although proposed more than a decade ago, the experimental realization of holonomic quantum computation is still an open…

量子物理 · 物理学 2013-06-18 Guanru Feng , Guofu Xu , Guilu Long

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…

量子物理 · 物理学 2023-07-28 Yan Liang , Pu Shen , Tao Chen , Zheng-Yuan Xue

Adiabatic pulses are used extensively to enable robust control of quantum operations. We introduce a new approach to adiabatic control that uses the superadiabatic quality or $Q$-factor as a performance metric to design robust, high…

量子物理 · 物理学 2016-05-25 Jonathan Vandermause , Chandrasekhar Ramanathan

We investigate the effects of systematic errors of the control parameters on single-qubit gates based on non-adiabatic non-Abelian geometric holonomies and those relying on purely dynamical evolution. It is explicitly shown that the…

量子物理 · 物理学 2016-04-07 Shi-Biao Zheng , Chui-Ping Yang , Franco Nori

The main obstacles to the realization of high-fidelity quantum gates are the control errors arising from inaccurate manipulation of a quantum system and the decoherence caused by the interaction between the quantum system and its…

量子物理 · 物理学 2021-01-15 P. Z. Zhao , X. Wu , D. M. Tong

Nonadiabatic holonomic quantum computation has been attracting continuous attention since it was proposed. Until now, various schemes of nonadiabatic holonomic quantum computation have been developed and many of them have been…

量子物理 · 物理学 2023-11-10 Guo-Fu Xu , P. Z. Zhao

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…

量子物理 · 物理学 2025-05-06 Yong-Sen Chen , Jing Gao , Li-Na Ji

Nonadiabatic holonomic quantum computation in decoherence-free subspaces has attracted increasing attention recently, as it allows for high-speed implementation and combines both the robustness of holonomic gates and the coherence…

量子物理 · 物理学 2017-06-12 P. Z. Zhao , G. F. Xu , Q. M. Ding , Erik Sjöqvist , 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…

量子物理 · 物理学 2014-04-10 Takumi Nitanda , Utkan Güngördü , Mikio Nakahara

The main challenges in achieving high-fidelity quantum gates are to reduce the influence of control errors caused by imperfect Hamiltonians and the influence of decoherence caused by environment noise. To overcome control errors, a…

量子物理 · 物理学 2020-07-01 P. Z. Zhao , K. Z. Li , G. F. Xu , D. M. Tong

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

We develop a non-adiabatic generalization of holonomic quantum computation in which high-speed universal quantum gates can be realized by using non-Abelian geometric phases. We show how a set of non-adiabatic holonomic one- and two-qubit…

The physical implementation of holonomic quantum computation is challenging due to the needed complex controllable interactions in multilevel quantum systems. Here we propose to implement nonadiabatic holonomic quantum computation with…

量子物理 · 物理学 2018-11-15 Tao Chen , Jiang Zhang , Zheng-Yuan Xue
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