<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-03991154v2</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-21T04:54:14+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Optimal Hadamard gate count for Clifford+T synthesis of Pauli rotations sequences</title>
            <author role="aut">
              <persName>
                <forename type="first">Vivien</forename>
                <surname>Vandaele</surname>
              </persName>
              <email type="md5">2a6ad3c2473e400ee5e56dd61c3fabd6</email>
              <email type="domain">atos.net</email>
              <idno type="idhal" notation="numeric">1227532</idno>
              <idno type="halauthorid" notation="string">2727488-1227532</idno>
              <affiliation ref="#struct-529408"/>
              <affiliation ref="#struct-1080036"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Simon</forename>
                <surname>Martiel</surname>
              </persName>
              <idno type="halauthorid">801959-0</idno>
              <affiliation ref="#struct-1080036"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Simon</forename>
                <surname>Perdrix</surname>
              </persName>
              <email type="md5">25818e6ddf8de226b9cdc04fd62bdd9f</email>
              <email type="domain">loria.fr</email>
              <idno type="idhal" notation="string">perdrix</idno>
              <idno type="idhal" notation="numeric">2116</idno>
              <idno type="halauthorid" notation="string">3904-2116</idno>
              <idno type="ARXIV">https://arxiv.org/a/perdrix_s_1</idno>
              <idno type="IDREF">https://www.idref.fr/204582636</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-1808-2409</idno>
              <affiliation ref="#struct-529408"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Christophe</forename>
                <surname>Vuillot</surname>
              </persName>
              <idno type="halauthorid">15568-0</idno>
              <affiliation ref="#struct-529408"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Vivien</forename>
                <surname>Vandaele</surname>
              </persName>
              <email type="md5">4cbbd09e1c2b86353caa2b5f51d4122e</email>
              <email type="domain">loria.fr</email>
            </editor>
            <funder ref="#projanr-57830"/>
          </titleStmt>
          <editionStmt>
            <edition n="v1">
              <date type="whenSubmitted">2023-02-15 16:25:40</date>
            </edition>
            <edition n="v2" type="current">
              <date type="whenSubmitted">2023-04-09 09:30:22</date>
              <date type="whenModified">2025-04-28 17:04:03</date>
              <date type="whenReleased">2023-04-24 08:11:11</date>
              <date type="whenProduced">2023-04-09</date>
              <date type="whenEndEmbargoed">2023-04-09</date>
              <ref type="file" target="https://hal.science/hal-03991154v2/document">
                <date notBefore="2023-04-09"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-03991154v2/file/main.pdf" id="file-4063480-3536711">
                <date notBefore="2023-04-09"/>
              </ref>
              <ref type="externalLink" target="http://arxiv.org/pdf/2302.07040"/>
            </edition>
            <edition n="v3">
              <date type="whenSubmitted">2024-02-24 14:21:22</date>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="1385479">
                <persName>
                  <forename>Vivien</forename>
                  <surname>Vandaele</surname>
                </persName>
                <email type="md5">4cbbd09e1c2b86353caa2b5f51d4122e</email>
                <email type="domain">loria.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-03991154</idno>
            <idno type="halUri">https://hal.science/hal-03991154</idno>
            <idno type="halBibtex">vandaele:hal-03991154</idno>
            <idno type="halRefHtml">2023</idno>
            <idno type="halRef">2023</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-4063480-3536711"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt/>
          <notesStmt/>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Optimal Hadamard gate count for Clifford+T synthesis of Pauli rotations sequences</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Vivien</forename>
                    <surname>Vandaele</surname>
                  </persName>
                  <email type="md5">2a6ad3c2473e400ee5e56dd61c3fabd6</email>
                  <email type="domain">atos.net</email>
                  <idno type="idhal" notation="numeric">1227532</idno>
                  <idno type="halauthorid" notation="string">2727488-1227532</idno>
                  <affiliation ref="#struct-529408"/>
                  <affiliation ref="#struct-1080036"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Simon</forename>
                    <surname>Martiel</surname>
                  </persName>
                  <idno type="halauthorid">801959-0</idno>
                  <affiliation ref="#struct-1080036"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Simon</forename>
                    <surname>Perdrix</surname>
                  </persName>
                  <email type="md5">25818e6ddf8de226b9cdc04fd62bdd9f</email>
                  <email type="domain">loria.fr</email>
                  <idno type="idhal" notation="string">perdrix</idno>
                  <idno type="idhal" notation="numeric">2116</idno>
                  <idno type="halauthorid" notation="string">3904-2116</idno>
                  <idno type="ARXIV">https://arxiv.org/a/perdrix_s_1</idno>
                  <idno type="IDREF">https://www.idref.fr/204582636</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-1808-2409</idno>
                  <affiliation ref="#struct-529408"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Christophe</forename>
                    <surname>Vuillot</surname>
                  </persName>
                  <idno type="halauthorid">15568-0</idno>
                  <affiliation ref="#struct-529408"/>
                </author>
              </analytic>
              <monogr>
                <imprint>
                  <date type="datePub">2023-02-14</date>
                </imprint>
              </monogr>
              <idno type="arxiv">2302.07040</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="phys.qphy">Physics [physics]/Quantum Physics [quant-ph]</classCode>
              <classCode scheme="halTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
              <classCode scheme="halOldTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
              <classCode scheme="halTreeTypology" n="UNDEFINED">Preprints, Working Papers, ...</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>The Clifford+T gate set is commonly used to perform universal quantum computation. In such setup the T gate is typically much more expensive to implement in a fault-tolerant way than Clifford gates. To improve the feasibility of fault-tolerant quantum computing it is then crucial to minimize the number of T gates. Many algorithms, yielding effective results, have been designed to address this problem. It has been demonstrated that performing a pre-processing step consisting of reducing the number of Hadamard gates in the circuit can help to exploit the full potential of these algorithms and thereby lead to a substantial T-count reduction. Moreover, minimizing the number of Hadamard gates also restrains the number of additional qubits and operations resulting from the gadgetization of Hadamard gates, a procedure used by some compilers to further reduce the number of T gates. In this work we tackle the Hadamard gate reduction problem, and propose an algorithm for synthesizing a sequence of pi/4 Pauli rotations with a minimal number of Hadamard gates. Based on this result, we present an algorithm which optimally minimizes the number of Hadamard gates lying between the first and the last T gate of the circuit.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="researchteam" xml:id="struct-529408" status="VALID">
          <idno type="RNSR">201822770B</idno>
          <idno type="ROR">https://ror.org/03w9t3v76</idno>
          <orgName>Designing the Future of Computational Models</orgName>
          <orgName type="acronym">MOCQUA</orgName>
          <date type="start">2018-01-01</date>
          <date type="end">2024-12-31</date>
          <desc>
            <address>
              <addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.inria.fr/equipes/mocqua</ref>
          </desc>
          <listRelation>
            <relation active="#struct-129671" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-423084" type="direct"/>
            <relation active="#struct-206040" type="indirect"/>
            <relation active="#struct-411575" type="indirect"/>
            <relation active="#struct-413289" type="indirect"/>
            <relation name="UMR7503" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-1080036" status="VALID">
          <orgName>Atos Bull</orgName>
          <date type="start">1985-12-18</date>
          <desc>
            <address>
              <addrLine>1 rue de Provence - 38130 ECHIROLLES - FRANCE</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://atos.net/en/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-129671" status="VALID">
          <idno type="RNSR">198618246Y</idno>
          <idno type="ROR">https://ror.org/03fcjvn64</idno>
          <orgName>Centre Inria de l'Université de Lorraine</orgName>
          <desc>
            <address>
              <addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/nancy</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
          <orgName type="acronym">Inria</orgName>
          <desc>
            <address>
              <addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</ref>
          </desc>
        </org>
        <org type="department" xml:id="struct-423084" status="VALID">
          <orgName>Department of Formal Methods</orgName>
          <orgName type="acronym">LORIA - FM</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.loria.fr/en/research/departments/formal-methods/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-206040" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-411575" type="indirect"/>
            <relation active="#struct-413289" type="indirect"/>
            <relation name="UMR7503" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-206040" status="VALID">
          <idno type="IdRef">067077927</idno>
          <idno type="ISNI">0000000121795429</idno>
          <idno type="RNSR">198912571S</idno>
          <idno type="IdUnivLorraine">[UL]RSI--</idno>
          <idno type="ROR">https://ror.org/02vnf0c38</idno>
          <orgName>Laboratoire Lorrain de Recherche en Informatique et ses Applications</orgName>
          <orgName type="acronym">LORIA</orgName>
          <date type="start">2012-01-01</date>
          <desc>
            <address>
              <addrLine>Campus Scientifique BP 239 54506 Vandoeuvre-lès-Nancy Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.loria.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
            <relation active="#struct-411575" type="direct"/>
            <relation active="#struct-413289" type="direct"/>
            <relation name="UMR7503" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-411575" status="VALID">
          <idno type="IdRef">184443237</idno>
          <idno type="ROR">https://ror.org/019tcpt25</idno>
          <orgName>CentraleSupélec</orgName>
          <desc>
            <address>
              <addrLine>3, rue Joliot Curie,Plateau de Moulon,91192 GIF-SUR-YVETTE Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.centralesupelec.fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-413289" status="VALID">
          <idno type="IdRef">157040569</idno>
          <idno type="IdUnivLorraine">[UL]100--</idno>
          <idno type="ROR">https://ror.org/04vfs2w97</idno>
          <orgName>Université de Lorraine</orgName>
          <orgName type="acronym">UL</orgName>
          <date type="start">2012-01-01</date>
          <desc>
            <address>
              <addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-lorraine.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
      </listOrg>
      <listOrg type="projects">
        <org type="anrProject" xml:id="projanr-57830" status="VALID">
          <idno type="anr">ANR-22-PETQ-0006</idno>
          <orgName>NISQ2LSQ</orgName>
          <desc>From NISQ to LSQ: Bosonic and LDPC codes</desc>
          <date type="start">2022</date>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>