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Quantum circuits of CNOT gates

Abstract : We study in details the algebraic structure underlying quantum circuits generated by CNOT gates. Our results allow us to propose polynomial heuristics to reduce the number of gates used in a given CNOT gates 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 using a CNOT gates circuit acting on a fully factorized state. *
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https://hal-normandie-univ.archives-ouvertes.fr/hal-02948598
Contributor : Marc Bataille <>
Submitted on : Tuesday, September 29, 2020 - 10:17:11 AM
Last modification on : Thursday, October 1, 2020 - 3:33:21 AM

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  • HAL Id : hal-02948598, version 2

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Marc Bataille. Quantum circuits of CNOT gates. 2020. ⟨hal-02948598v2⟩

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