Quantum circuit synthesis using Householder transformations

• URL: http://arxiv.org/abs/2004.07710v1
• Date: Thu, 16 Apr 2020 15:38:24 GMT
• Title: Quantum circuit synthesis using Householder transformations
• Authors: Timoth\'ee Goubault de Brugi\`ere, Marc Baboulin, Beno\^it Valiron, Cyril Allouche
• Abstract summary: We propose a circuit synthesis method based on the QR factorization via Householder transformations. For a final quantum circuit twice as large as the one obtained by the best existing method, we accelerate the computation by orders of magnitude.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 first step we exploit the specific 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 final 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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