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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,…

Quantum Physics · Physics 2009-11-10 S. -L. Zhu , Z. D. Wang

We have developed an adiabatic Abelian geometric quantum computation strategy based on the non-degenerate energy eigenstates in (but not limited to) superconducting phase-qubit systems. The fidelity of the designed quantum gate was…

Quantum Physics · Physics 2007-08-07 Z. H. Peng , H. F. Chu , Z. D. Wang , D. N. Zheng

In the context of Rydberg anti-blockade, this paper proposes a new scheme for a high-fidelity controlled-unitary gate based on non-adiabatic holonomic quantum computation. Under specific detuning and interaction conditions, the scheme…

Quantum Physics · Physics 2026-03-19 Le-Jiang Yu , Jia Zheng , Kun Pu , Chao Gao

Geometric phase is an indispensable element for achieving robust and high-fidelity quantum gates due to its built-in noise-resilience feature. However, due to the complexity of manipulation and the intrinsic leakage of the encoded quantum…

Quantum Physics · Physics 2019-12-12 Li-Na Ji , Tao Chen , Zheng-Yuan Xue

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…

Quantum Physics · Physics 2009-11-11 Xin-Ding Zhang , Shi-Liang Zhu , L. Hu , Z. D. Wang

One of the most promising nascent technologies, quantum computation faces a major challenge: The need for stable computational building blocks. We present the quantum-optical realization of non-adiabatic holonomies that can be used as…

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…

Quantum Physics · Physics 2022-03-23 Mei-Ya Chen , Chengxian Zhang , Zheng-Yuan Xue

We propose a feasible scheme to achieve quantum computation based on geometric manipulation of ensembles of atoms, and analyze it for neutral rubidium atoms magnetically trapped in planoconcave microcavities on an atom chip. The geometric…

Quantum Physics · Physics 2013-08-20 Yicong Zheng , Todd A. Brun

A large-scalable quantum computer model, whose qubits are represented by the subspace subtended by the ground state and the single exciton state on semiconductor quantum dots, is proposed. A universal set of quantum gates in this system may…

Quantum Physics · Physics 2009-11-10 Kaiyu Yang , Shi-Liang Zhu , Z. D. Wang

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…

Quantum Physics · Physics 2016-08-26 Zheng-Yuan Xue , Jian Zhou , Yao-Ming Chu , Yong Hu

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…

Quantum Physics · Physics 2026-03-02 Cheng-Yun Ding , Wan-Fang Liu , Li-Hua Zhang , Jian Zhou , Zheng-Yuan Xue

Nonadiabatic holonomic quantum computation provides the means to perform fast and robust quantum gates by utilizing the resilience of non-Abelian geometric phases to fluctuations of the path in state space. While the original scheme [New J.…

Quantum Physics · Physics 2016-11-14 Emmi Herterich , Erik Sjöqvist

The time-dependent pseudo-Hermitian formulation of quantum mechanics allows to study open system dynamics in analogy to Hermitian quantum systems. In this setting, we show that the notion of holonomic quantum computation can equally be…

Quantum Physics · Physics 2019-10-23 Julien Pinske , Lucas Teuber , Stefan Scheel

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…

Quantum Physics · Physics 2015-02-19 Itay Hen

We propose an experimentally feasible scheme to achieve quantum computation based solely on geometric manipulations of a quantum system. The desired geometric operations are obtained by driving the quantum system to undergo appropriate…

Quantum Physics · Physics 2009-11-07 L. M. Duan , J. I. Cirac , P. Zoller

Nonadiabatic holonomic quantum computation has received increasing attention due to its robustness against control errors as well as high-speed realization. The original protocol of nonadiabatic holonomic one-qubit gates has been…

Quantum Physics · Physics 2019-09-04 Zhenxing Zhang , P. Z. Zhao , Tenghui Wang , Liang Xiang , Zhilong Jia , Peng Duan , D. M. Tong , Yi Yin , Guoping Guo

Adiabatic state engineering is a powerful technique in quantum information and quantum control. However, its performance is limited by the adiabatic theorem of quantum mechanics. In this scenario, shortcuts to adiabaticity, such as provided…

Quantum Physics · Physics 2015-11-03 Alan C. Santos , Marcelo S. Sarandy

Geometric phases accompanying adiabatic quantum evolutions can be used to construct robust quantum control for quantum information processing due to their noise-resilient feature. A significant development along this line is to construct…

The difficulty in producing precisely timed and controlled quantum gates is a significant source of error in many physical implementations of quantum computers. Here we introduce a simple universal primitive, adiabatic gate teleportation,…

Quantum Physics · Physics 2010-04-29 Dave Bacon , Steven T. Flammia

Nonadiabatic holonomic quantum gates are high-speed and robust. Nevertheless, they were found to be more fragile than the adiabatic gates when systematic errors become dominant. Inspired by the dark-path scheme that was used to partially…

Quantum Physics · Physics 2024-01-30 Zhu-yao Jin , Jun Jing