Journal of Shanghai University(Natural Science Edition) ›› 2022, Vol. 28 ›› Issue (5): 883-895.doi: 10.12066/j.issn.1007-2861.2436

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Digital counter-diabatic driving quantum algorithm

WANG Jianan, DING Yongcheng, HAO Minjia, CHEN Xi()   

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2022-06-18 Online:2022-10-30 Published:2022-11-12
  • Contact: CHEN Xi E-mail:xchen@shu.edu.cn

Abstract:

Quantum computing differs significantly from traditional computers, and is far superior in terms of computing speed and energy consumption. Quantum computing is therefore considered to be one of the new methods with disruptive effects in the future. Currently, quantum adiabatic algorithms, variational quantum eigensolvers (VQEs), and quantum approximate optimization algorithms (QAOAs) are important algorithms that are expected to achieve quantum advantages in the current noisy medium-scale quantum era. In this paper, the calculation of the ground state energy of hydrogen gas is considered as an example to demonstrate the application of the quantum adiabatic algorithm and variational quantum eigensolver in quantum chemistry. The quantum adiabatic algorithm is accelerated using the digital counter-diabatic driving algorithm, and the optimal solution is realized using the variational quantum eigensolver. This helps to reduce the depth of the quantum circuit and improve the accuracy of energy calculation. With this development, the digital counter-diabatic driving quantum algorithm will be extended to the applications in data search, material design, biopharmaceuticals, and so on, demonstrating the advantages in quantum applicability.

Key words: quantum adiabatic algorithm, variational quantum eigensolver (VQE), counter- diabatic driving, quantum chemistry

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