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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

We make use of a superconducting qubit to study the effects of noise on adiabatic geometric phases. The state of the system, an effective spin one-half particle, is adiabatically guided along a closed path in parameter space and thereby…

量子物理 · 物理学 2013-06-27 S. Berger , M. Pechal , A. A. Abdumalikov , C. Eichler , L. Steffen , A. Fedorov , A. Wallraff , S. Filipp

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…

We discuss the basic theoretical framework for non-Hermitian quantum systems with particular emphasis on the diagonalizability of non-Hermitian Hamiltonians and their $GL(1,\mathbb{C})$ gauge freedom, which are relevant to the adiabatic…

量子物理 · 物理学 2019-04-03 Qi Zhang , Biao Wu

A practical quantum computer must be capable of performing high fidelity quantum gates on a set of quantum bits (qubits). In the presence of noise, the realization of such gates poses daunting challenges. Geometric phases, which possess…

量子物理 · 物理学 2015-12-23 J. Zhang , Thi Ha Kyaw , D. M. Tong , Erik Sjöqvist , L. C. Kwek

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

We propose a technique for accurate, flexible and robust generation of arbitrary coherent superpositions of two quantum states. It uses a sequence of two adiabatic pulses split by a phase jump serving as a control parameter. Each pulse has…

量子物理 · 物理学 2020-01-22 Kaloyan N. Zlatanov , Nikolay V. Vitanov

At present, several models for quantum computation have been proposed. Adiabatic quantum computation scheme particularly offers this possibility and is based on a slow enough time evolution of the system, where no transitions take place. In…

量子物理 · 物理学 2012-10-12 P. J. Salas Peralta

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…

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

Due to its fast and robust characteristics, nonadiabatic geometric quantum computation with various optimized techniques has received much attention. However, these strategies either require precise pulse control or can only mitigate…

量子物理 · 物理学 2026-03-02 Cheng-Yun Ding , Wan-Fang Liu , Li-Hua Zhang , Jian Zhou , Zheng-Yuan Xue

Nonadiabatic geometric quantum computation (NGQC) and nonadiabatic holonomic quantum computation (NHQC) have been proposed to reduce the run time of geometric quantum gates. However, in terms of robustness against experimental control…

量子物理 · 物理学 2021-09-22 Bao-Jie Liu , Yuan-Sheng Wang , Man-Hong Yung

Appearance of adiabatic geometric phase shift in the context of noncommutative quantum mechanics is studied using an exactly solvable model of 2D simple harmonic oscilator in Moyal plane, where momentum non-commutativity are also considered…

高能物理 - 理论 · 物理学 2020-09-02 Saptarshi Biswas , Partha Nandi , Biswajit Chakraborty

We introduce a geometric framework for efficient few-parameter pulse optimization in multi-level quantum systems, enabling high-fidelity state transfer beyond the adiabatic limit. Our method interpolates smoothly between adiabatic and…

We show that geometric phases may be generated in a quantum system subject to noise by adiabatic manipulations of the fluctuating fields, e.g., by variation of the system-environment coupling. For a two-state quantum system we express this…

介观与纳米尺度物理 · 物理学 2009-11-13 S. V. Syzranov , Yu. Makhlin

We study the effect of spin-orbit coupling on quantum gates produced by pulsing the exchange interaction between two single electron quantum dots. Spin-orbit coupling enters as a small spin precession when electrons tunnel between dots. For…

介观与纳米尺度物理 · 物理学 2016-08-31 D. Stepanenko , N. E. Bonesteel , D. P. DiVincenzo , G. Burkard , Daniel Loss

We demonstrate optical control of the geometric phase acquired by one of the spin states of an electron confined in a charge-tunable InAs quantum dot via cyclic 2pi excitations of an optical transition in the dot. In the presence of a…

介观与纳米尺度物理 · 物理学 2015-05-14 Erik D. Kim , Katherine Truex , Xiaodong Xu , Bo Sun , D. G. Steel , A. S. Bracker , D. Gammon , L. J. Sham

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…

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

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