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A practical quantum computer must be capable of performing high fidelity quantum gates on a set of quantum bits (qubits). In the presence of noise, the realization of such gates poses daunting challenges. Geometric phases, which possess…

Quantum Physics · Physics 2015-12-23 J. Zhang , Thi Ha Kyaw , D. M. Tong , Erik Sjöqvist , L. C. Kwek

Hole spin qubits in semiconductor quantum dots (QDs) are promising candidates for quantum information processing due to their weak hyperfine coupling to nuclear spins, and to the strong spin-orbit coupling which allows for rapid operation…

Mesoscale and Nanoscale Physics · Physics 2022-12-02 D. Fernandez-Fernandez , Y. Ban , G. Platero

To implement a set of universal quantum logic gates based on non-Abelian geometric phases, it is a conventional wisdom that quantum systems beyond two levels are required, which is extremely difficult to fulfil for superconducting qubits,…

Quantum Physics · Physics 2015-08-12 Zheng-Yuan Xue , Jian Zhou , Z. D. Wang

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

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…

Quantum Physics · Physics 2026-03-19 Le-Jiang Yu , Jia Zheng , Kun Pu , Chao Gao

Holonomic quantum computation is a quantum computation strategy that promises some built-in noise-resilience features. Here, we propose a scheme for nonadiabatic holonomic quantum computation with nitrogen-vacancy center electron spins,…

Quantum Physics · Physics 2017-12-20 Jian Zhou , Bao-Jie Liu , Zhuo-Ping Hong , Zheng-Yuan Xue

Geometric phase is an indispensable element for achieving robust and high-fidelity quantum gates due to its built-in noise-resilience feature. However, due to the complexity of manipulation and the intrinsic leakage of the encoded quantum…

Quantum Physics · Physics 2019-12-12 Li-Na Ji , Tao Chen , Zheng-Yuan Xue

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

Non-adiabatic holonomic quantum gate in decoherence-free subspaces is of greatly practical importance due to its built-in fault tolerance, coherence stabilization virtues, and short run-time. Here we propose some compact schemes to…

Quantum Physics · Physics 2016-01-12 Shi Hu , Wen-Xue Cui , Qi Guo , Hong-Fu Wang , Ai-Dong Zhu , Shou Zhang

Geometric phases induced in quantum evolutions have built-in noise-resilient characters, and thus can find applications in many robust quantum manipulation tasks. Here, we propose a feasible and fast scheme for universal quantum computation…

Quantum Physics · Physics 2020-01-31 Sai Li , Tao Chen , Zheng-Yuan Xue

With the help of the spin-orbit interaction, we propose a scheme to perform holonomic single qubit gates on the electron spin confined to a quantum dot. The manipulation is done in the absence (or presence) of an applied magnetic field. By…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Vitaly N. Golovach , Massoud Borhani , Daniel Loss

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…

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

High-fidelity and robust quantum manipulation is the key for scalable quantum computation. Therefore, due to the intrinsic operational robustness, quantum manipulation induced by geometric phases is one of the promising candidates. However,…

Quantum Physics · Physics 2020-09-23 Tao Chen , Pu Shen , Zheng-Yuan Xue

Quantum computation that combines the coherence stabilization virtues of decoherence-free subspaces and the fault tolerance of geometric holonomic control is of great practical importance. Some schemes of adiabatic holonomic quantum…

Quantum Physics · Physics 2015-06-11 G. F. Xu , J. Zhang , D. M. Tong , Erik Sjoqvist , L. C. Kwek

Nonadiabatic geometric quantum computation is dedicated to the realization of high-fidelity and robust quantum gates, which are necessary for fault-tolerant quantum computation. However, it is limited by cyclic and mutative evolution path,…

Quantum Physics · Physics 2021-06-14 Li-Na Ji , Cheng-Yun Ding , Tao Chen , 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…

Geometric phases are well known to be noise-resilient in quantum evolutions/operations. Holonomic quantum gates provide us with a robust way towards universal quantum computation, as these quantum gates are actually induced by nonabelian…

Quantum Physics · Physics 2018-05-11 Zhuo-Ping Hong , Bao-Jie Liu , Jia-Qi Cai , Xin-Ding Zhang , Yong Hu , Z. D. Wang , Zheng-Yuan Xue

Nonadiabatic 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…

Quantum Physics · Physics 2017-03-31 Hang Li , Guilu Long

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

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…

Quantum Physics · Physics 2015-11-04 G. F. Xu , C. L. Liu , P. Z. Zhao , D. M. Tong