Experimental Realization of Universal Time-optimal non-Abelian Geometric Gates

• URL: http://arxiv.org/abs/2004.10364v2
• Date: Thu, 30 Apr 2020 02:48:42 GMT
• Title: Experimental Realization of Universal Time-optimal non-Abelian Geometric Gates
• Authors: Zhikun Han, Yuqian Dong, Baojie Liu, Xiaopei Yang, Shuqing Song, Luqing Qiu, Danyu Li, Ji Chu, Wen Zheng, Jianwen Xu, Tianqi Huang, Zhimin Wang, Xiangmin Yu, Xinsheng Tan, Dong Lan, Man-Hong Yung, and Yang Yu
• Abstract summary: Non-adiabatic holonomic quantum control (NHQC) has become a standard technique for enhancing robustness in quantum gates. Here we experimentally demonstrate a time-optimal and unconventional approach of NHQC, which can optimize the operation time of any holonomic gate. Compared with the conventional approach, TOUNHQC provides an extra layer of robustness to decoherence and control errors.
• Score: 6.4064367651422955
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Based on the geometrical nature of quantum phases, non-adiabatic holonomic quantum control (NHQC) has become a standard technique for enhancing robustness in constructing quantum gates. However, the conventional approach of NHQC is sensitive to control instability, as it requires the driving pulses to cover a fixed pulse area. Furthermore, even for small-angle rotations, all operations need to be completed with the same duration of time. Here we experimentally demonstrate a time-optimal and unconventional approach of NHQC (called TOUNHQC), which can optimize the operation time of any holonomic gate. Compared with the conventional approach, TOUNHQC provides an extra layer of robustness to decoherence and control errors. The experiment involves a scalable architecture of superconducting circuit, where we achieved a fidelity of 99.51% for a single qubit gate using interleaved randomized benchmarking. Moreover, a two-qubit holonomic control-phase gate has been implemented where the gate error can be reduced by as much as 18% compared with NHQC.

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