Quantum Property Testing Algorithm for the Concatenation of Two Palindromes Language

• URL: http://arxiv.org/abs/2406.11270v1
• Date: Mon, 17 Jun 2024 07:19:20 GMT
• Title: Quantum Property Testing Algorithm for the Concatenation of Two Palindromes Language
• Authors: Kamil Khadiev, Danil Serov,
• Abstract summary: We present a quantum property testing algorithm for recognizing a context-free language that is a concatenation of two palindromes $L_REV$.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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