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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…

Quantum Physics · Physics 2015-12-23 J. Zhang , Thi Ha Kyaw , D. M. Tong , Erik Sjöqvist , L. C. Kwek

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…

Quantum Physics · Physics 2009-11-07 Shi-Liang Zhu , Z. D. Wang

Neutral atom arrays have recently emerged as a promising platform for quantum information processing. One important remaining roadblock for the large-scale application of these systems is the ability to perform error-corrected quantum…

The goal of this paper is to introduce building blocks for adiabatic quantum algorithms. Adiabatic quantum computing uses the principle of quantum annealing, which implies that a carefully controlled energy solution is optimal and…

Quantum Physics · Physics 2014-08-27 Richard H. Warren

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…

Quantum Physics · Physics 2021-10-07 Zhi-Cheng He , Zheng-Yuan Xue

A clever choice and design of gate sets can reduce the depth of a quantum circuit, and can improve the quality of the solution one obtains from a quantum algorithm. This is especially important for near-term quantum computers that suffer…

Quantum Physics · Physics 2025-07-08 Madhav Mohan , Julius de Hond , Servaas Kokkelmans

Rydberg blockaded gate is a fundamental ingredient for scalable quantum computation with neutral Rydberg atoms. However the fidelity of such a gate is intrinsically limited by a blockade error coming from a Rydberg level shift that forbids…

Atomic Physics · Physics 2019-09-04 Dongmin Yu , Han Wang , Danan Ma , Xing-dong Zhao , Jing Qian

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

In this paperwe propose two theoretical schemes for implementation of quantum phase gates by engineering the phase-sensitive dark state of two atoms subjected to Rydberg-Rydberg interaction. Combining the conventional adiabatic techniques…

Quantum Physics · Physics 2018-03-15 Huaizhi Wu , Xi-Rong Huang , Chang-Sheng Hu , Zhen-Biao Yang , Shi-Biao Zheng

Rydberg atom arrays offer flexible geometries of strongly-interacting neutral atoms, which are useful for many quantum applications such as quantum simulation and quantum computation. Here we consider a gate-based quantum computing scheme…

Quantum Physics · Physics 2024-10-31 Seokho Jeong , Xiao-Feng Shi , Minhyuk Kim , Jaewook Ahn

The nonadiabatic holonomic quantum computation based on three-level systems has wide applicability experimentally due to its simpler energy level structure requirement and inherent robustness from the geometric phase. However, in previous…

Quantum Physics · Physics 2023-10-03 Pu Shen , Yan Liang , Tao Chen , Zheng-Yuan Xue

Geometric phases and holonomies (their non-commuting generalizations) are a promising resource for the realization of high-fidelity quantum operations in noisy devices, due to their intrinsic fault-tolerance against noise and experimental…

Quantum Physics · Physics 2018-10-16 Felix Kleißler , Andrii Lazariev , Silvia Arroyo-Camejo

Nonadiabatic geometric quantum computation (NGQC) provides a means to perform fast and robust quantum gates. To enhance the robustness of NGQC against control errors, numerous solutions have been proposed by predecessors. However, these…

Quantum Physics · Physics 2024-04-11 Yifu Zhang , Lei Ma

Nonadiabatic holonomic quantum computation (NHQC) has been developed to shorten the construction times of geometric quantum gates. However, previous NHQC gates require the driving Hamiltonian to satisfy a set of rather restrictive…

Quantum Physics · Physics 2019-09-11 Bao-Jie Liu , Xue-Ke Song , Zheng-Yuan Xue , Xin Wang , Man-Hong Yung

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…

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…

Quantum Physics · Physics 2007-07-04 A. E. Shalyt-Margolin , V. I. Strazhev , A. Ya. Tregubovich

For circuit-based quantum computation, experimental implementation of universal set of quantum logic gates with high-fidelity and strong robustness is essential and central. Quantum gates induced by geometric phases, which depend only on…

Quantum Physics · Physics 2023-07-28 Ming-Zhong Ai , Sai Li , Ran He , Zheng-Yuan Xue , Jin-Ming Cui , Yun-Feng Huang , Chuan-Feng Li , Guang-Can Guo

We introduce the non-adiabatic, or Aharonov-Anandan, geometric phase as a tool for quantum computation and show how it could be implemented with superconducting charge qubits. While it may circumvent many of the drawbacks related to the…

Quantum Physics · Physics 2009-11-07 A. Blais , A. -M. S. Tremblay

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…

Quantum Physics · Physics 2013-06-18 Guanru Feng , Guofu Xu , Guilu Long

Individually trapped Rydberg atoms show significant promise as a platform for scalable quantum simulation and for development of programmable quantum computers. In particular, the Rydberg blockade effect can be used to facilitate both fast…

Quantum Physics · Physics 2023-10-02 Valerio Crescimanna , Jacob Taylor , Aaron Z. Goldberg , Khabat Heshami