论文标题

基于量子指纹技术的QFA的确定性结构

Deterministic Construction of QFAs based on the Quantum Fingerprinting Technique

论文作者

Khadieva, Aliya, Ziatdinov, Mansur

论文摘要

众所周知,对于某些语言,量子有限自动机比经典的同行更有效。特别是,识别语言$ mod_p $的QFA比经典有限自动机具有指数优势。但是,这种QFA的构建是概率的。在当前的工作中,我们建议对语言$ mod_p $的QFA的确定性结构。我们为Promise问题构建QFA $ palindrome_s $,并使用Qiskit库工具在IBMQ模拟器上实现此QFA。

It is known that for some languages quantum finite automata are more efficient than classical counterparts. Particularly, a QFA recognizing the language $MOD_p$ has an exponential advantage over the classical finite automata. However, the construction of such QFA is probabilistic. In the current work, we propose a deterministic construction of the QFA for the language $MOD_p$. We construct a QFA for a promise problem $Palindrome_s$ and implement this QFA on the IBMQ simulator using qiskit library tools.

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