Quantum algorithm for learning secret strings and its experimental demonstration

Yongzhen Xu, Shihao Zhang and Lvzhou Li

Physica A: Statistical Mechanics and its Applications, 2023, vol. 609, issue C

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.

Keywords: Quantum computing; String learning; Quantum algorithm; Query complexity (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:609:y:2023:i:c:s037843712200930x

DOI: 10.1016/j.physa.2022.128372

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