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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…

量子物理 · 物理学 2017-03-31 Hang Li , Guilu Long

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…

量子物理 · 物理学 2018-11-28 Tao Chen , Zheng-Yuan Xue

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

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…

量子物理 · 物理学 2023-07-12 Tian-Xiang Hou , Wei Li

The implementation of holonomic quantum computation on superconducting quantum circuits is challenging due to the general requirement of controllable complicated coupling between multilevel systems. Here we solve this problem by proposing a…

量子物理 · 物理学 2016-08-26 Zheng-Yuan Xue , Jian Zhou , Yao-Ming Chu , Yong Hu

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…

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

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…

量子物理 · 物理学 2019-09-11 Bao-Jie Liu , Xue-Ke Song , Zheng-Yuan Xue , Xin Wang , Man-Hong Yung

We give a careful proof that a parallelized version of adiabatic quantum computation can efficiently simulate universal gate model quantum computation. The proof specifies an explicit parameter-dependent Hamiltonian $H({\lambda})$ that is…

量子物理 · 物理学 2019-02-20 Ari Mizel

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

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…

量子物理 · 物理学 2023-02-21 Yan Liang , Pu Shen , Li-Na Ji , Zheng Yuan Xue

Reliable quantum information processing requires high-fidelity universal manipulation of quantum systems within the characteristic coherence times. Non-adiabatic holonomic quantum computation offers a promising approach to implement fast,…

量子物理 · 物理学 2017-04-12 Vahid Azimi Mousolou

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…

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…

量子物理 · 物理学 2021-10-07 Zhi-Cheng He , Zheng-Yuan Xue

Fast and robust quantum gates is the cornerstone of fault-tolerance quantum computation. In this paper, we propose to achieve quantum gates based on non-cyclic geometric evolution. Dynamical phase during the evolution is cancelled by…

量子物理 · 物理学 2020-03-04 Qing-Xian Lv , Zhen-Tao Liang , Hong-Zhi Liu , Jia-Hao Liang , Kai-Yu Liao , Yan-Xiong Du

High-fidelity quantum gates are essential for large-scale quantum computation. However, any quantum manipulation will inevitably affected by noises, systematic errors and decoherence effects, which lead to infidelity of a target quantum…

量子物理 · 物理学 2021-06-09 Sai Li , Pu Shen , Tao Chen , Zheng-Yuan Xue

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 gates are high-speed and robust. Nevertheless, they were found to be more fragile than the adiabatic gates when systematic errors become dominant. Inspired by the dark-path scheme that was used to partially…

量子物理 · 物理学 2024-01-30 Zhu-yao Jin , Jun Jing

The nonadiabatic holonomic quantum computation based on three-level systems has wide applicability experimentally due to its simpler energy level structure requirement and inherent robustness from the geometric phase. However, in previous…

量子物理 · 物理学 2023-10-03 Pu Shen , Yan Liang , Tao Chen , Zheng-Yuan 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…