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An adiabatic cyclic evolution of control parameters of a quantum system ends up with a holonomic operation on the system, determined entirely by the geometry in the parameter space. The operation is given either by a simple phase factor (a…

量子物理 · 物理学 2014-01-23 Mahn-Soo Choi

The physical implementation of holonomic quantum computation is challenging due to the needed complex controllable interactions in multilevel quantum systems. Here we propose to implement nonadiabatic holonomic quantum computation with…

量子物理 · 物理学 2018-11-15 Tao Chen , Jiang Zhang , Zheng-Yuan Xue

Geometric and holonomic quantum computation utilizes intrinsic geometric properties of quantum-mechanical state spaces to realize quantum logic gates. Since both geometric phases and quantum holonomies are global quantities depending only…

量子物理 · 物理学 2023-08-03 Jiang Zhang , Thi Ha Kyaw , Stefan Filipp , Leong-Chuan Kwek , Erik Sjöqvist , Dianmin Tong

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

In this paper the idea of holonomic quantum computation is realized within quantum optics. In a non-linear Kerr medium the degenerate states of laser beams are interpreted as qubits. Displacing devices, squeezing devices and interferometers…

量子物理 · 物理学 2008-12-18 Jiannis Pachos , Spiros Chountasis

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…

量子物理 · 物理学 2009-11-06 Jiannis Pachos , Paolo Zanardi

Holonomic quantum computation uses non-Abelian geometric phases to realize error resilient quantum gates. Nonadiabatic holonomic gates are particularly suitable to avoid unwanted decoherence effects, as they can be performed at high speed.…

量子物理 · 物理学 2019-04-11 Nicklas Ramberg , Erik Sjöqvist

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

Geometric phase that manifests itself in number of optic and nuclear experiments is shown to be a useful tool for realization of quantum computations in so called holonomic quantum computer model (HQCM). This model is considered as an…

量子物理 · 物理学 2007-07-04 A. E. Shalyt-Margolin , V. I. Strazhev , A. Ya. Tregubovich

The aim of this paper is to introduce our idea of Holonomic Quantum Computation (Computer). Our model is based on both harmonic oscillators and non-linear quantum optics, not on spins of usual quantum computation and our method is moreover…

量子物理 · 物理学 2017-08-23 Kazuyuki Fujii

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

Due to its geometric nature, holonomic quantum computation is fault-tolerant against certain types of control errors. Although proposed more than a decade ago, the experimental realization of holonomic quantum computation is still an open…

量子物理 · 物理学 2013-06-18 Guanru Feng , Guofu Xu , Guilu Long

In the holonomic approach to quantum computation information is encoded in a degenerate eigenspace of a parametric family of Hamiltonians and manipulated by the associated holonomic gates. These are realized in terms of the non-abelian…

量子物理 · 物理学 2009-10-31 Jiannis Pachos , Paolo Zanardi , Mario Rasetti

Geometric manipulation of a quantum system offers a method for fast, universal, and robust quantum information processing. Here, we propose a scheme for universal all-geometric quantum computation using non-adiabatic quantum holonomies. We…

量子物理 · 物理学 2014-01-27 Vahid Azimi Mousolou , Carlo M. Canali , Erik Sjöqvist

Nonadiabatic holonomic quantum computation uses non-Abelian geometric phases to implement a universal set of quantum gates that are robust against control imperfections and decoherence. Until now, a number of three-level-based schemes of…

量子物理 · 物理学 2018-11-16 G. F. Xu , D. M. Tong , Erik Sjöqvist

Geometric phases are well known to be noise-resilient in quantum evolutions/operations. Holonomic quantum gates provide us with a robust way towards universal quantum computation, as these quantum gates are actually induced by nonabelian…

量子物理 · 物理学 2018-05-11 Zhuo-Ping Hong , Bao-Jie Liu , Jia-Qi Cai , Xin-Ding Zhang , Yong Hu , Z. D. Wang , 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

Geometric quantum computation is the idea that geometric phases can be used to implement quantum gates, i.e., the basic elements of the Boolean network that forms a quantum computer. Although originally thought to be limited to adiabatic…

量子物理 · 物理学 2016-09-16 Erik Sjöqvist , Vahid Azimi Mousolou , Carlo M. Canali

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

We propose an implementation of holonomic (geometrical) quantum gates by means of semiconductor nanostructures. Our quantum hardware consists of semiconductor macroatoms driven by sequences of ultrafast laser pulses ({\it all optical…

量子物理 · 物理学 2009-11-10 Paolo Solinas , Paolo Zanardi , Nino Zangh\`ı , Fausto Rossi