Quantum circuits synthesis using Householder transformations - DAta science, TrAnsition, Fluid instabiLity, contrOl, Turbulence Accéder directement au contenu
Article Dans Une Revue Computer Physics Communications Année : 2020

Quantum circuits synthesis using Householder transformations

Marc Baboulin
Cyril Allouche
  • Fonction : Auteur
  • PersonId : 1028426

Résumé

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.
Fichier principal
Vignette du fichier
Householder_arxiv.pdf (524.15 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

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

Identifiants

Citer

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⟩
112 Consultations
420 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More