Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum
Gates with Two Dark Paths in a Trapped Ion
- URL: http://arxiv.org/abs/2101.07483v2
- Date: Wed, 20 Jan 2021 01:48:18 GMT
- Title: Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum
Gates with Two Dark Paths in a Trapped Ion
- Authors: Ming-Zhong Ai, Sai Li, Ran He, Zheng-Yuan Xue, Jin-Ming Cui, Yun-Feng
Huang, Chuan-Feng Li, Guang-Can Guo
- Abstract summary: We show nonadiabatic holonomic single-qubit quantum gates on two dark paths in a trapped $171mathrmYb+$ ion based on four-level systems with resonant drives.
We find that nontrivial holonomic two-qubit quantum gates can also be realized within current experimental technologies.
- Score: 41.36300605844117
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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 global properties of the evolution paths, have built-in
noise-resilience features. Here, we propose and experimentally demonstrate
nonadiabatic holonomic single-qubit quantum gates on two dark paths in a
trapped $^{171}\mathrm{Yb}^{+}$ ion based on four-level systems with resonant
drives. We confirm the implementation with measured gate fidelity through both
quantum process tomography and randomized benchmarking methods. Meanwhile, we
find that nontrivial holonomic two-qubit quantum gates can also be realized
within current experimental technologies. Compared with previous
implementations on three-level systems, our experiment share both the advantage
of fast nonadiabatic evolution and the merit of robustness against systematic
errors, and thus retains the main advantage of geometric phases. Therefore, our
experiment confirms a promising method for fast and robust holonomic quantum
computation.
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