Quantum circuits synthesis using Householder transformations - Laboratoire de recherche en informatique. Équipe: Systèmes Parallèles
Journal Articles Computer Physics Communications Year : 2020

Quantum circuits synthesis using Householder transformations

Marc Baboulin
Cyril Allouche
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Abstract

The synthesis of a quantum circuit consists in decomposing a unitary matrix into a series of elementary operations. In this paper, we propose a circuit synthesis method based on the QR factorization via Householder transformations. We provide a two-step algorithm: during the rst step we exploit the speci c structure of a quantum operator to compute its QR factorization, then the factorized matrix is used to produce a quantum circuit. We analyze several costs (circuit size and computational time) and compare them to existing techniques from the literature. For a nal quantum circuit twice as large as the one obtained by the best existing method, we accelerate the computation by orders of magnitude.
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Dates and versions

hal-02545123 , version 1 (16-04-2020)

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Cite

Timothée Goubault de Brugière, Marc Baboulin, Benoît Valiron, Cyril Allouche. Quantum circuits synthesis using Householder transformations. Computer Physics Communications, 2020, 248, pp.107001. ⟨10.1016/j.cpc.2019.107001⟩. ⟨hal-02545123⟩
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