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arXiv · 1901.02173

Equivalence Checking of Quantum Finite-State Machines

Qisheng Wang·Junyi Liu·Mingsheng Ying
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Abstract

In this paper, we introduce the model of quantum Mealy machines and study the equivalence checking and minimisation problems of them. Two efficient algorithms are developed for checking equivalence of two states in the same machine and for checking equivalence of two machines. As an application, they are used in equivalence checking of quantum circuits. Moreover, the minimisation problem is proved to be in $\textbf{PSPACE}$.

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Qisheng Wang, Junyi Liu, Mingsheng Ying. 2019-01-08. Equivalence Checking of Quantum Finite-State Machines. https://doi.org/10.1016/j.jcss.2020.08.004

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