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arXiv · 2406.11270

Quantum Property Testing Algorithm for the Concatenation of Two Palindromes Language

Kamil Khadiev·Danil Serov
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Abstract

In this paper, we present a quantum property testing algorithm for recognizing a context-free language that is a concatenation of two palindromes $L_{REV}$. The query complexity of our algorithm is $O(\frac{1}{\varepsilon}n^{1/3}\log n)$, where $n$ is the length of an input. It is better than the classical complexity that is $\Theta^*(\sqrt{n})$. At the same time, in the general setting, the picture is different a little. Classical query complexity is $\Theta(n)$, and quantum query complexity is $\Theta^*(\sqrt{n})$. So, we obtain polynomial speed-up for both cases (general and property testing).

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Kamil Khadiev, Danil Serov. 2024-06-17. Quantum Property Testing Algorithm for the Concatenation of Two Palindromes Language. https://doi.org/10.1007/978-3-031-63742-1_10

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