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Related papers: Decoherence-Suppressed Non-adiabatic Holonomic Qua…

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Quantum manipulation based on geometric phases provides a promising way towards robust quantum gates. However, in the current implementation of nonadiabatic geometric phases, operational and/or random errors tend to destruct the conditions…

Quantum Physics · Physics 2021-03-17 Jian Zhou , Sai Li , Guo-Zhu Pan , Gang Zhang , Tao Chen , Zheng-Yuan Xue

Systematic control errors, specifically Rabi frequency fluctuations and frequency detuning, constitute a primary bottleneck for high-fidelity quantum gates across leading platforms. In this work, we present a robust pulse engineering…

Quantum Physics · Physics 2025-12-25 Jie Lu , Jie-Dong Huang , Yang Qian , Ying Yan , Zhi-Guo Huang , Ji-Ze Han

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 show an equivalence relation between fault-tolerant circuits for a stabilizer code and fault-tolerant adiabatic processes for holonomic quantum computation (HQC), in the case where quantum information is encoded in the degenerated ground…

Quantum Physics · Physics 2015-06-17 Yi-Cong Zheng , Todd A. Brun

Holonomic quantum computation (HQC) offers an inherently robust approach to quantum gate implementation by exploiting quantum holonomies. While adiabatic HQC benefits from robustness against certain control errors, its long runtime limits…

Quantum Physics · Physics 2025-06-12 Jiang Zhang , Tonghao Xing , Guilu Long

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,…

Quantum Physics · Physics 2017-04-12 Vahid Azimi Mousolou

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…

We show that universal holonomic quantum computation (HQC) can be achieved fault-tolerantly by adiabatically deforming the gapped stabilizer Hamiltonian of the surface code, where quantum information is encoded in the degenerate ground…

Quantum Physics · Physics 2015-03-05 Yi-Cong Zheng , Todd A. Brun

Holonomic quantum computation (HQC) may not show its full potential in quantum speedup due to the prerequisite of a long coherent runtime imposed by the adiabatic condition. Here we show that the conventional HQC can be dramatically…

Quantum Physics · Physics 2016-11-28 P. V. Pyshkin , Da-wei Luo , Jun Jing , J. Q. You , Lian-Ao Wu

Quantum gates, which are the essential building blocks of quantum computers, are very fragile. Thus, to realize robust quantum gates with high fidelity is the ultimate goal of quantum manipulation. Here, we propose a nonadiabatic geometric…

Quantum Physics · Physics 2020-07-15 Jing Xu , Sai Li , Tao Chen , 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

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

Quantum gates induced by geometric phases are intrinsically robust against noise due to their global properties of the evolution paths. Compared to conventional nonadiabatic geometric quantum computation (NGQC), the recently proposed…

Quantum Physics · Physics 2021-07-21 J. W. Zhang , L. -L. Yan , J. C. Li , G. Y. Ding , J. T. Bu , L. Chen , S. -L. Su , F. Zhou , M. Feng

Nonadiabatic geometric quantum computation in decoherence-free subspaces has received increasing attention due to the merits of its high-speed implementation and robustness against both control errors and decoherence. However, all the…

Quantum Physics · Physics 2017-01-04 P. Z. Zhao , G. F. Xu , D. M. Tong

Holonomic quantum computation exploits the geometric evolution of eigenspaces of a degenerate Hamiltonian to implement unitary evolution of computational states. In this work we introduce a framework for performing scalable quantum…

Quantum Physics · Physics 2026-04-29 Clara Wassner , Tommaso Guaita , Jens Eisert , Jose Carrasco

By using transitionless quantum driving algorithm (TQDA), we present an efficient scheme for the shortcuts to the holonomic quantum computation (HQC). It works in decoherence-free subspace (DFS) and the adiabatic process can be speeded up…

Quantum Physics · Physics 2016-02-17 Xue-Ke Song , Hao Zhang , Qing Ai , Jing Qiu , Fu-Guo Deng

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

The non-adiabatic geometric quantum computation (NGQC) has attracted a lot of attention for noise-resilient quantum control. However, previous implementations of NGQC require long evolution paths that make them more vulnerable to incoherent…

Holonomic Quantum Computation (HQC) is an all-geometrical approach to quantum information processing. In the HQC strategy information is encoded in degenerate eigen-spaces of a parametric family of Hamiltonians. The computational network of…

Quantum Physics · Physics 2009-11-06 Jiannis Pachos , Paolo Zanardi

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…

Quantum Physics · Physics 2020-07-01 P. Z. Zhao , K. Z. Li , G. F. Xu , D. M. Tong