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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…

Realization of fast fault-tolerant quantum gates on a single spin is the core requirement for solid-state quantum-information processing. As polarized light shows geometric interference, spin coherence is also geometrically controlled with…

量子物理 · 物理学 2017-10-16 Yuhei Sekiguchi , Naeko Niikura , Ryota Kuroiwa , Hiroki Kano , Hideo Kosaka

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…

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

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…

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…

量子物理 · 物理学 2019-08-20 Zhennan Zhu , Tao Chen , Xiaodong Yang , Ji Bian , Zheng-Yuan Xue , Xinhua Peng

Geometric phases and holonomies (their non-commuting generalizations) are a promising resource for the realization of high-fidelity quantum operations in noisy devices, due to their intrinsic fault-tolerance against noise and experimental…

量子物理 · 物理学 2018-10-16 Felix Kleißler , Andrii Lazariev , Silvia Arroyo-Camejo

The holonomic approach to controlling (nitrogen-vacancy) NV-center qubits provides an elegant way of theoretically devising universal quantum gates that operate on qubits via calculable microwave pulses. There is, however, a lack of…

量子物理 · 物理学 2022-02-17 Shaman Bhattacharyya , Somnath Bhattacharyya

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…

量子物理 · 物理学 2021-10-13 Pu Shen , Tao Chen , Zheng-Yuan Xue

The nonadiabatic holonomic quantum computation based on the geometric phase is robust against the built-in noise and decoherence. In this work, we theoretically propose a scheme to realize nonadiabatic holonomic quantum gates in a surface…

量子物理 · 物理学 2024-05-07 Jun Wang , Wan-Ting He , Hai-Bo Wang , Qing Ai

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…

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

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…

量子物理 · 物理学 2019-12-23 P. Z. Zhao , G. F. Xu , D. M. Tong

To implement reliable quantum information processing, quantum gates have to be protected together with the qubits from decoherence. Here we demonstrate experimentally on nitrogen-vacancy system that by using continuous wave dynamical…

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…

量子物理 · 物理学 2016-01-12 Shi Hu , Wen-Xue Cui , Qi Guo , Hong-Fu Wang , Ai-Dong Zhu , Shou Zhang

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

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

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…

Geometric phases are only dependent on evolution paths but independent of evolution details so that they own some intrinsic noise-resilience features. Based on different geometric phases, various quantum gates have been proposed, such as…

量子物理 · 物理学 2019-09-24 P. Z. Zhao , Zhangjingzi Dong , Zhenxing Zhang , Guoping Guo , D. M. Tong , Yi Yin

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

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,…

量子物理 · 物理学 2017-12-20 Jian Zhou , Bao-Jie Liu , Zhuo-Ping Hong , Zheng-Yuan Xue
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