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Experimental realization of a universal set of quantum logic gates is the central requirement for implementation of a quantum computer. An all-geometric approach to quantum computation offered a paradigm for implementation where all the…

Quantum Physics · Physics 2015-06-23 C. Zu , W. -B. Wang , L. He , W. -G. Zhang , C. -Y. Dai , F. Wang , L. -M. Duan

We propose a non-adiabatic scheme for geometric quantum computation with trapped ions. By making use of the Aharonov-Anandan phase, the proposed scheme not only preserves the globally geometric nature in quantum computation, but also…

Quantum Physics · Physics 2009-11-07 Xin-Qi Li , Li-Xiang Cen , Guo-Xiang Huang , Lei Ma , YiJing Yan

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

Nonadiabatic holonomic quantum computation has robust feature in suppressing control errors because of its holonomic feature. However, this kind of robust feature is challenged since the usual way of realizing nonadiabatic holonomic gates…

Quantum Physics · Physics 2017-06-14 G. F. Xu , P. Z. Zhao , T. H. Xing , Erik Sjöqvist , D. M. Tong

Non-adiabatic holonomic quantum gate in decoherence-free subspaces is of greatly practical importance due to its built-in fault tolerance, coherence stabilization virtues, and short run-time. Here we propose some compact schemes to…

Quantum Physics · Physics 2016-01-12 Shi Hu , Wen-Xue Cui , Qi Guo , Hong-Fu Wang , Ai-Dong Zhu , Shou Zhang

Quantum computation has revolutionary potential for speeding algorithms and for simulating quantum systems such as molecules. We report here a quantum computer design that performs universal quantum computation within a single…

Quantum Physics · Physics 2014-01-22 Ari Mizel

Quantum adiabatic evolutions find a broad range of applications in quantum physics and quantum technologies. The traditional form of the quantum adiabatic theorem limits the speed of adiabatic evolution by the minimum energy gaps of the…

Nonadiabatic holonomic quantum computation~(NHQC) provides an essential way to construct robust and high-fidelity quantum gates due to its geometric features. However, NHQC is more sensitive to the decay and dephasing errors than…

Quantum Physics · Physics 2023-03-10 Bao-Jie Liu , Lei-Lei Yan , Yuan Zhang , Man-Hong Yung , Erjun Liang , Shi-Lei Su , Chong-Xin Shan

Here we propose and demonstrate a phased geometric control protocol for zero-field double quantum gates in a V-shaped three-level spin system. This method utilizes linearly polarized microwave pulses and exploits the geometric qubit…

Quantum Physics · Physics 2024-05-09 Zhijie Li , Xiangyu Ye , Xi Kong , Tianyu Xie , Zhiping Yang , Pengju Zhao , Ya Wang , Fazhan Shi , Jiangfeng Du

We propose a new variant of the controlled-NOT quantum logic gate based on adiabatic level-crossing dynamics of the q-bits. The gate has a natural implementation in terms of the Cooper pair transport in arrays of small Josephson tunnel…

Quantum Physics · Physics 2009-10-30 D. V. Averin

To implement a set of universal quantum logic gates based on non-Abelian geometric phases, it is a conventional wisdom that quantum systems beyond two levels are required, which is extremely difficult to fulfil for superconducting qubits,…

Quantum Physics · Physics 2015-08-12 Zheng-Yuan Xue , Jian Zhou , Z. D. Wang

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…

Quantum Physics · Physics 2018-11-15 Tao Chen , Jiang Zhang , Zheng-Yuan Xue

To implement reliable quantum information processing, quantum gates have to be protected together with the qubits from decoherence. Here we demonstrate experimentally on nitrogen-vacancy system that by using continuous wave dynamical…

Nonadiabatic holonomic quantum computation in decoherence-free subspaces has attracted increasing attention recently, as it allows for high-speed implementation and combines both the robustness of holonomic gates and the coherence…

Quantum Physics · Physics 2017-06-12 P. Z. Zhao , G. F. Xu , Q. M. Ding , Erik Sjöqvist , D. M. Tong

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…

Quantum Physics · Physics 2024-06-28 Yan Liang , Zheng-Yuan Xue

Scaling of quantum gates remains a central challenge in quantum information science. Ultrafast gates based on spin-dependent kicks provide a promising approach for trapped-ion systems. However, these gates require laser pulses with both…

Quantum Physics · Physics 2025-11-10 En-Teng An , Hao-Qing Zhang , Yun-Feng Huang , Chuan-Feng Li , Jin-Ming Cui

Holonomic quantum computation (HQC) offers an inherently robust approach to quantum gate implementation by exploiting quantum holonomies. While adiabatic HQC benefits from robustness against certain control errors, its long runtime limits…

Quantum Physics · Physics 2025-06-12 Jiang Zhang , Tonghao Xing , Guilu Long

Constructing compact quantum circuits for universal quantum gates on solid-state systems is crucial for quantum computing. We present some compact quantum circuits for a deterministic solid-state quantum computing, including the CNOT,…

Quantum Physics · Physics 2013-10-22 Hai-Rui Wei , Fu-Guo Deng

Shortcuts to adiabaticity is a general method for speeding up adiabatic quantum protocols, and has many potential applications in quantum information processing. Unfortunately, analytically constructing shortcuts to adiabaticity for systems…

Quantum Physics · Physics 2021-07-13 F. Setiawan , Peter Groszkowski , Hugo Ribeiro , Aashish A. Clerk

Implementation of quantum logical gates for multilevel system is demonstrated through decoherence control under the quantum adiabatic method using simple phase modulated laser pulses. We make use of selective population inversion and…

Quantum Physics · Physics 2009-11-11 Debabrata Goswami