Papers › Quantum circuits of CNOT gates

Quantum circuits of CNOT gates

24 Sep 2020arXiv:2009.13247links table onlyarchive 2025-07-28

Marc Bataille

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We study in detail the algebraic structures underlying quantum circuits generated by CNOT gates. Our results allow us to propose polynomial-time heuristics to reduce the number of gates used in a given CNOT circuit and we also give algorithms to optimize this type of circuits in some particular cases. Finally we show how to create some usefull entangled states when a CNOT circuit acts on a fully factorized state.

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