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<p>In the paper we suggest a system of fuzzy Tsetlin automata for analog computations. The system deals with fuzzy analogs of qubits and models operations of quantum gates used for quantum computations. In contrast to the existing models, the suggested system directly emulates reversible operators and the “square root of not” operator which is a key operator in quantum computations. Fuzzy information units called f-bits are defined by matrix with fuzzy normalized rows and emulate qubits with complex elements. Operations with these units are conducted by fuzzy Tsetlin automata based on the uninorm and absorbing norm. It is demonstrated that the suggested system emulates basic quantum computations; hence, it can implement analog computations and can support analog emulations of quantum algorithms.</p>

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Fuzzy Tsetlin automata and their application in analog computing

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月29日

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  • Evgeny Kagan,
  • Alexander Rybalov

摘要

In the paper we suggest a system of fuzzy Tsetlin automata for analog computations. The system deals with fuzzy analogs of qubits and models operations of quantum gates used for quantum computations. In contrast to the existing models, the suggested system directly emulates reversible operators and the “square root of not” operator which is a key operator in quantum computations. Fuzzy information units called f-bits are defined by matrix with fuzzy normalized rows and emulate qubits with complex elements. Operations with these units are conducted by fuzzy Tsetlin automata based on the uninorm and absorbing norm. It is demonstrated that the suggested system emulates basic quantum computations; hence, it can implement analog computations and can support analog emulations of quantum algorithms.