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Quantum control plays an irreplaceable role in practical use of quantum computers. However, some challenges have to be overcome to find more suitable and diverse control parameters. We propose a promising and generalizable…

量子物理 · 物理学 2023-09-29 Meng-Yun Mao , Zheng Cheng , Yan Xia , Andrzej M. Oleś , Wen-Long You

The method of iterated resolvents is used to obtain an effective Hamiltonian for neighbouring qubits in the Kane solid state quantum computer. In contrast to the adiabatic gate processes inherent in the Kane proposal we show that free…

量子物理 · 物理学 2009-11-07 C. Wellard , L. C. L. Hollenberg , H. C. Pauli

The binomial code is renowned for its parity-mediated loss immunity and loss-error recoverability, while geometric phases are widely recognized for their intrinsic resilience against noise. Capitalizing on their complementary merits, we…

量子物理 · 物理学 2026-03-19 Dong-Sheng Li , Yang Xiao , Yu Wang , Yang Liu , Zhi-Cheng Shi , Ye-Hong Chen , Yi-Hao Kang , Yan Xia

Nonadiabatic holonomic quantum computation has received increasing attention due to the merits of both robustness against control errors and high-speed implementation. A crucial step in realizing nonadiabatic holonomic quantum computation…

量子物理 · 物理学 2023-08-15 P. Z. Zhao , D. M. Tong

Nonadiabatic holonomic quantum computation is a promising approach for implementing quantum gates that offers both efficiency and robustness against certain types of errors. A key element of this approach is a geometric constraint known as…

量子物理 · 物理学 2025-05-20 Ole Sönnerborn

We propose a new class of unconventional geometric gates involving nonzero dynamic phases, and elucidate that geometric quantum computation can be implemented by using these gates. Comparing with the conventional geometric gate operation,…

量子物理 · 物理学 2009-11-10 S. -L. Zhu , Z. D. Wang

A fundamental requirement of quantum information processing is the protection from the adverse effects of decoherence and noise. Decoherence-free subspaces and geometric processing are important steps of quantum information protection.…

量子物理 · 物理学 2018-04-18 Vahid Azimi Mousolou

Scaling up quantum computing hardware is hindered by the narrow operating margins of current quantum components. Here, we introduce a composite qubit and gate scheme that achieves wide margins by use of transistor-like nonlinearities to…

量子物理 · 物理学 2022-02-23 Ryan J. Epstein

High-fidelity quantum gates are an essential prerequisite for large-scale quantum computation. When manipulating practical quantum systems, environmentally and operationally induced errors are inevitable, and thus, in addition to being…

量子物理 · 物理学 2024-06-28 Yan Liang , Zheng-Yuan Xue

Geometric gates that use the global property of the geometric phase is believed to be a powerful tool to realize fault-tolerant quantum computation. However, for singlet-triplet qubits in semiconductor quantum dot, the low Rabi frequency of…

量子物理 · 物理学 2022-03-23 Mei-Ya Chen , Chengxian Zhang , Zheng-Yuan Xue

Nonadiabatic holonomic quantum computation (NHQC) has attracted significant attention due to its fast evolution and the geometric nature induced resilience to local noises. However, its long operation time and complex physical…

量子物理 · 物理学 2022-03-23 Yan Liang , Pu Shen , Tao Chen , Zheng-Yuan Xue

A semiconductor-based charge qubit, confined in double quantum dots, can be a platform to implement quantum computing. However, it suffers severely from charge noises. Here, we provide a theoretical framework to implement universal…

量子物理 · 物理学 2021-06-28 Chengxian Zhang , Tao Chen , Xin Wang , Zheng-Yuan Xue

We propose a feasible scheme to implement a universal set of quantum gates based on geometric phases and superadiabatic quantum control. Consolidating the advantages of both strategies, the proposed quantum gates are robust and fast. The…

量子物理 · 物理学 2016-04-29 Zhen-Tao Liang , Xianxian Yue , Qingxian Lv , Yan-Xiong Du , Wei Huang , Hui Yan , Shi-Liang Zhu

We introduce a self-consistent framework for the analysis of both Abelian and non-Abelian geometric phases associated with open quantum systems, undergoing cyclic adiabatic evolution. We derive a general expression for geometric phases,…

量子物理 · 物理学 2007-05-23 M. S. Sarandy , D. A. Lidar

We introduce a class of quantum adiabatic evolutions that we claim may be interpreted as the equivalents of the unitary gates of the quantum gate model. We argue that these gates form a universal set and may therefore be used as building…

量子物理 · 物理学 2015-02-19 Itay Hen

Although geometric phases in quantum evolution were historically overlooked, their active control now stimulates strategies for constructing robust quantum technologies. Here, we demonstrate arbitrary single-qubit holonomic gates from a…

Recently, geometric phases, which is fault tolerate to certain errors intrinsically due to its geometric property, are getting considerable attention in quantum computing theoretically. So far, only one experiment about adiabatic geometric…

量子物理 · 物理学 2007-05-23 Jiangfeng Du , Mingjun Shi , Jihui Wu , Xianyi Zhou , Rongdian Han

In [Phys. Rev. Lett. 95, 080502 (2005)], Zheng proposed a scheme for implementing a conditional phase shift via adiabatic passages. The author claims that the gate is "neither of dynamical nor geometric origin" on the grounds that the…

量子物理 · 物理学 2009-10-30 Ognyan Oreshkov , John Calsamiglia

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 "Lewis-Riesenfeld phases" which plays a crucial role in constructing shortcuts to adiabaticity may be a resource for the implementation of quantum phase gates. By combining "Lewis-Riesenfeld invariant" with "quantum Zeno dynamics", we…

量子物理 · 物理学 2015-05-19 Ye-Hong Chen , Yan Xia , Qing-Qin Chen , Jie Song