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  • Letter
  • Open Access

Efficient quantum algorithm for solving structured problems via multistep quantum computation

Hefeng Wang1,2,*, Sixia Yu3,†, and Hua Xiang4,‡

  • 1MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Xi'an Jiaotong University, Xi'an 710049, China
  • 2School of Physics, Xi'an Jiaotong University and Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, Xi'an 710049, China
  • 3Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
  • 4School of Mathematics and Statistics, Wuhan University and Hubei Key Laboratory of Computational Science, Wuhan 430072, China

  • *wanghf@mail.xjtu.edu.cn
  • †yusixia@ustc.edu.cn
  • ‡hxiang@whu.edu.cn
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Phys. Rev. Research 5, L012004 – Published 17 January, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.L012004

Abstract

In classical computation, a problem can be solved in multiple steps where the calculated results of each step can be copied and used repeatedly. However, in quantum computation, it is difficult to realize a similar multistep computation process because the no-cloning theorem forbids making copies of an unknown quantum state perfectly. We find a method based on a quantum resonant transition to protect and reuse an unknown quantum state that encodes the calculated results of an intermediate step without copying it, and present a quantum algorithm that solves a problem via multistep quantum computation. We demonstrate that this algorithm can solve a type of structured search problems efficiently.

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References (22)

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Outline

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Phys. Rev. Research 5, L012004– Published 17 January, 2023
  • Received 30 September 2020
  • Revised 21 October 2021
  • Accepted 20 December 2022
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