Sun Dan, Chandarana Pranav, Xin Zi-Hua, Chen Xi
International Center of Quantum Artificial Intelligence for Science and Technology (QuArtist) and Department of Physics, Shanghai University, 200444 Shanghai, People's Republic of China.
Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain.
Philos Trans A Math Phys Eng Sci. 2022 Dec 26;380(2239):20210282. doi: 10.1098/rsta.2021.0282. Epub 2022 Nov 7.
Using counterdiabatic (CD) driving-aiming at suppression of diabatic transition-in digitized adiabatic evolution has garnered immense interest in quantum protocols and algorithms. However, improving the approximate CD terms with a nested commutator ansatz is a challenging task. In this work, we propose a technique of finding optimal coefficients of the CD terms using a variational quantum circuit. By classical optimization routines, the parameters of this circuit are optimized to provide the coefficients corresponding to the CD terms. Then their improved performance is exemplified in Greenberger-Horne-Zeilinger state preparation on the nearest-neighbour Ising model. Finally, we also show the advantage over the usual quantum approximation optimization algorithm, in terms of fidelity with bounded time. This article is part of the theme issue 'Shortcuts to adiabaticity: theoretical, experimental and interdisciplinary perspectives'.
在数字化绝热演化中使用反绝热（CD）驱动——旨在抑制绝热跃迁——已在量子协议和算法中引起了极大兴趣。然而，使用嵌套对易子假设来改进近似CD项是一项具有挑战性的任务。在这项工作中，我们提出了一种使用变分量子电路来寻找CD项最优系数的技术。通过经典优化例程，对该电路的参数进行优化，以提供与CD项对应的系数。然后，在最近邻伊辛模型上制备格林伯格-霍恩-泽林格态时，展示了它们改进后的性能。最后，我们还在有界时间的保真度方面展示了相对于通常的量子近似优化算法的优势。本文是主题为“绝热捷径：理论、实验和跨学科视角”的一部分。
