https://doi.org/10.1140/epjqt/s40507-024-00258-6
Research
On validity of quantum partial adiabatic search
1
School of Internet, Anhui University, 230039, Hefei, China
2
National Engineering Research Center of Agro-Ecological Big Data Analysis and Application, Anhui University, 230601, Hefei, China
3
Fin China-Anhui University Joint Laboratory for Financial Big Data Research, Hefei, China
4
China Mobile (Suzhou) Software Technology Company Limited, 215163, Suzhou, China
5
School of Cyber Science and Engineering, Huazhong University of Science and Technology, 430074, Wuhan, China
Received:
26
April
2024
Accepted:
11
July
2024
Published online:
25
July
2024
In this paper, we further verify the validity of the quantum partial adiabatic search algorithm which was initialized in the previous related works by revisiting its quantum circuit model. The main results got here are as follows. When considering implementing quantum partial adiabatic evolution on a quantum circuit, a correction is given for the time slice estimation for the first stage during this approximation in the previous related works, new evidence is provided for a time complexity cost 
of quantum partial adiabatic algorithm is impossible, and the correct time complexity 
of it is emphasized once more according to its circuit correspondence, in which N is the total number of elements in the search problem of which M of them are the marked ones. The findings exposed are hopeful for revisiting quantum partial adiabatic evolution and its connection with the quantum circuit model.
Key words: Validity / Quantum partial adiabatic evolution / Quantum circuit model / Quantum computation
© The Author(s) 2024
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