A Representative Framework for Implementing Quantum Finite Automata on Real Devices
<|reference_start|>A Representative Framework for Implementing Quantum Finite Automata on Real Devices: We present a framework for the implementation of quantum finite automata algorithms designed for the language $ MOD_p = \{ a^{i\cdot p } \mid i \geq 0 \}$ on gate-based quantum computers. First, we compile the known theoretical results from the literature to reduce the number of CNOT gates. Second, we demonstrate techniques for modifying the algorithms based on the basis gates of available quantum hardware in order to reduce circuit depth. Lastly, we explore how the number of CNOT gates may be reduced further if the topology of the qubits is known.<|reference_end|>
@article{khadieva2024a,
    title={A Representative Framework for Implementing Quantum Finite Automata on
  Real Devices},
    author={Aliya Khadieva and "Ozlem Salehi and Abuzer Yakary{i}lmaz},
    journal={UCNC 2024, LNCS 14776, 2024},
    year={2024},
    doi={10.1007/978-3-031-63742-1_12},
    archivePrefix={arXiv},
    eprint={2406.11360},
    primaryClass={quant-ph cs.FL}
}