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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

Nonadiabatic holonomic quantum computation has been proposed as a method to implement quantum logic gates with robustness comparable to that of adiabatic holonomic gates but with shorter execution times. In this paper, we establish an…

量子物理 · 物理学 2024-06-26 Ole Sönnerborn

We present a numerical study of the robustness of a specific class of non-abelian holonomic quantum gates . We take into account the parametric noise due to stochastic fluctuations of the control fields which drive the time-dependent…

量子物理 · 物理学 2016-09-08 Paolo Solinas , Paolo Zanardi , Nino Zanghì

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

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…

量子物理 · 物理学 2017-01-04 P. Z. Zhao , G. F. Xu , D. M. Tong

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 (NHQC) is implemented by fast evolution processes in a geometric way to withstand local noises. However, recent works of implementing NHQC are sensitive to the systematic noise and error. Here, we…

量子物理 · 物理学 2022-10-20 Li-Na Ji , Yan Liang , Pu Shen , Zheng-Yuan Xue

Experimental realization of a universal set of quantum logic gates is the central requirement for implementation of a quantum computer. An all-geometric approach to quantum computation offered a paradigm for implementation where all the…

量子物理 · 物理学 2015-06-23 C. Zu , W. -B. Wang , L. He , W. -G. Zhang , C. -Y. Dai , F. Wang , L. -M. Duan

Non Abelian geometric phases are attracting increasing interest because of possible experimental application in quantum computation. We study the effects of the environment (modelled as an ensemble of harmonic oscillators) on a holonomic…

量子物理 · 物理学 2009-11-11 G. Florio , P. Facchi , R. Fazio , V. Giovannetti , S. Pascazio

Holonomic gates for quantum computation are commonly considered to be robust against certain kinds of parametric noise, the very motivation of this robustness being the geometric character of the transformation achieved in the adiabatic…

量子物理 · 物理学 2007-07-19 Cosmo Lupo , Paolo Aniello , Mario Napolitano , Giuseppe Florio

Geometric phases have stimulated researchers for its potential applications in many areas of science. One of them is fault-tolerant quantum computation. A preliminary requisite of quantum computation is the implementation of controlled…

量子物理 · 物理学 2015-06-26 Ranabir Das , S. K. Karthick Kumar , Anil Kumar

When a quantum system is driven adiabatically through a parametric cycle in a degenerate Hilbert space, the state would acquire a non-Abelian geometric phase, which is stable and forms the foundation for holonomic quantum computation (HQC).…

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

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…

量子物理 · 物理学 2016-02-17 Xue-Ke Song , Hao Zhang , Qing Ai , Jing Qiu , Fu-Guo Deng

Adiabatic geometric phase gates offer enhanced robustness against fluctuations compared to con- ventional Rydberg blockade-based phase gates that rely on dynamical phase accumulation. We theoretically demonstrate two- and multi-qubit phase…

量子物理 · 物理学 2025-11-07 Sinchan Snigdha Rej , Bimalendu Deb

Non-Abelian quantum holonomies, i.e., unitary state changes solely induced by geometric properties of a quantum system, have been much under focus in the physics community as generalizations of the Abelian Berry phase. Apart from being a…

量子物理 · 物理学 2007-05-23 David Kult , Johan Åberg , 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

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

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,…

量子物理 · 物理学 2020-09-23 Tao Chen , Pu Shen , 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