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A single-loop scenario is proposed to realize nonadiabatic geometric quantum computation. Conventionally, a so-called multi-loop approach is used to remove the dynamical phase accumulated in the operation process for geometric quantum…

量子物理 · 物理学 2009-11-11 Xin-Ding Zhang , Shi-Liang Zhu , L. Hu , Z. D. Wang

We propose an experimentally feasible scheme to achieve quantum computation based on a pair of orthogonal cyclic states. In this scheme, quantum gates can be implemented based on the total phase accumulated in cyclic evolutions. In…

量子物理 · 物理学 2009-11-07 Shi-Liang Zhu , Z. D. Wang

Geometric phases have been used in NMR, to implement controlled phase shift gates for quantum information processing, only in weakly coupled systems in which the individual spins can be identified as qubits. In this work, we implement…

量子物理 · 物理学 2009-11-13 T. Gopinath , Anil Kumar

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

Quantum computing using two-dimensional NMR has recently been described using scalar coupling evolution technique [J. Chem. Phys.,109,10603 (1998)]. In the present paper, we describe two-dimensional NMR quantum computing with the help of…

量子物理 · 物理学 2007-05-23 T. S. Mahesh , Kavita Dorai , Arvind , Anil Kumar

We propose an experimentally feasible scheme to achieve quantum computation based on nonadiabatic geometric phase shifts, in which a cyclic geometric phase is used to realize a set of universal quantum gates. Physical implementation of this…

量子物理 · 物理学 2009-11-07 Shi-Liang Zhu , Z. D. Wang

Geometric phase is a promising element to induce high-fidelity and robust quantum operations due to its built-in noise-resilience feature. Unfortunately, its practical applications are usually circumscribed by requiring complex interactions…

量子物理 · 物理学 2020-12-08 Tao Chen , 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

We present a scheme for implementing the unconventional geometric two-qubit phase gate with nonzero dynamical phase by using the two-channel Raman interaction of two atoms in a cavity. We show that the dynamical phase acquired in a cyclic…

量子物理 · 物理学 2009-11-13 Xun-Li Feng , Zisheng Wang , Chunfeng Wu , L. C. Kwek , C. H. Oh

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

We propose a new strategy to physically implement a universal set of quantum gates based on geometric phases accumulated in the nondegenerate eigenstates of a designated invariant operator in a periodic physical system. The system is driven…

量子物理 · 物理学 2016-09-08 L. B. Shao , Z. D. Wang , D. Y. Xing

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

Motivated for the fault tolerant quantum computation, quantum gate by adiabatic geometric phase shift is extensively investigated. In this paper, we demonstrate the nonadiabatic scheme for the geometric phase shift and conditional geometric…

量子物理 · 物理学 2007-05-23 Wang Xiang-Bin , Matsumoto Keiji

The possibility of realization of quantum gates by means of the non-adiabatic geometric phase is considered. It is shown that the non-adiabatic phase can be used for quantum gates realization as well as the adiabatic one.

量子物理 · 物理学 2009-11-07 A. E. Shalyt-Margolin , V. I. Strazhev , A. Ya. Tregubovich

We study a 2-qubit nuclear spin system for realizing an arbitrary geometric quantum phase gate by means of non-adiabatic operation. A single magnetic pulse with multi harmonic frequencies is applied to manipulate the quantum states of…

量子物理 · 物理学 2009-11-13 Yu Tong , Ruibao Tao

Quantum computation has demonstrated advantages over classical computation for special hard problems, where a set of universal quantum gates is essential. Geometric phases, which have built-in resilience to local noise, have been used to…

量子物理 · 物理学 2023-02-21 Yan Liang , Pu Shen , Li-Na Ji , Zheng Yuan Xue

We propose a novel proposal for geometric quantum gates using three- or two-level systems, in which a controllable variable, the detuning between the driving frequency and the atomic energy spacing, is introduced to realize geometric…

量子物理 · 物理学 2020-03-18 Shifan Qi , Jun Jing

Recently, nonadiabatic geometric quantum computation has been received great attentions, due to its fast operation and intrinsic error resilience. However, compared with the corresponding dynamical gates, the robustness of implemented…

量子物理 · 物理学 2023-07-12 Cheng-Yun Ding , Li Chen , Li-Hua Zhang , Zheng-Yuan Xue

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

Quantum gates based on geometric phases possess intrinsic noise-resilience features and therefore attract much attention. However, the implementations of previous geometric quantum computation typically require a long pulse time of gates.…

量子物理 · 物理学 2022-10-10 Zhuang Ma , Jianwen Xu , Tao Chen , Yu Zhang , Wen Zheng , Dong Lan , Zheng-Yuan Xue , Xinsheng Tan , Yang Yu
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