Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
- URL: http://arxiv.org/abs/2306.16667v1
- Date: Thu, 29 Jun 2023 03:56:02 GMT
- Title: Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
- Authors: Yan Liang, Pu Shen, Tao Chen, and Zheng-Yuan Xue
- Abstract summary: This article reviews recent advances in nonadiabatic holonomic quantum computation.
It focuses on various optimal control approaches that can improve the gate performance.
- Score: 6.798901075222994
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Geometric phase has the intrinsic property of being resistant to some types
of local noises as it only depends on global properties of the evolution path.
Meanwhile, the non-Abelian geometric phase is in the matrix form, and thus can
naturally be used to implement high performance quantum gates, i.e., the
so-called holonomic quantum computation. This article reviews recent advances
in nonadiabatic holonomic quantum computation, and focuses on various optimal
control approaches that can improve the gate performance, in terms of the gate
fidelity and robustness. Besides, we also pay special attention to its possible
physical realizations and some concrete examples of experimental realizations.
Finally, with all these efforts, within state-of-the-art technology, the
performance of the implemented holonomic quantum gates can outperform the
conventional dynamical ones, under certain conditions.
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