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Quantum algorithm for learning secret strings and its experimental demonstration

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  • Xu, Yongzhen
  • Zhang, Shihao
  • Li, Lvzhou

Abstract

In this paper, we consider the secret-string-learning problem in the teacher–student setting: the teacher has a secret string s∈{0,1}n, and the student wants to learn the secret s by question–answer interactions with the teacher, where at each time, the student can ask the teacher with a pair (x,q)∈{0,1}n×{0,1,…,n−1} and the teacher returns a bit given by the oracle fs(x,q) that indicates whether the length of the longest common prefix of s and x is greater than q or not. Our contributions are as follows.

Suggested Citation

  • Xu, Yongzhen & Zhang, Shihao & Li, Lvzhou, 2023. "Quantum algorithm for learning secret strings and its experimental demonstration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    • Handle: RePEc:eee:phsmap:v:609:y:2023:i:c:s037843712200930x
    DOI: 10.1016/j.physa.2022.128372
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    References listed on IDEAS

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    1. C. Figgatt & D. Maslov & K. A. Landsman & N. M. Linke & S. Debnath & C. Monroe, 2017. "Complete 3-Qubit Grover search on a programmable quantum computer," Nature Communications, Nature, vol. 8(1), pages 1-9, December.
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