DC FieldValueLanguage
dc.contributor.authorArienzo, Mirko-
dc.contributor.authorHeinrich, Markus-
dc.contributor.authorRoth, Ingo-
dc.contributor.authorKliesch, Martin-
dc.date.accessioned2022-11-23T12:34:01Z-
dc.date.available2022-11-23T12:34:01Z-
dc.date.issued2022-11-
dc.identifier.citationarXiv:2211.09835v1 (2022-11)de_DE
dc.identifier.urihttp://hdl.handle.net/11420/14132-
dc.description.abstractProperties of quantum systems can be estimated using classical shadows, which implement measurements based on random ensembles of unitaries. Originally derived for global Clifford unitaries and products of single-qubit Clifford gates, practical implementations are limited to the latter scheme for moderate numbers of qubits. Beyond local gates, the accurate implementation of very short random circuits with two-local gates is still experimentally feasible and, therefore, interesting for implementing measurements in near-term applications. In this work, we derive closed-form analytical expressions for shadow estimation using brickwork circuits with two layers of parallel two-local Haar-random (or Clifford) unitaries. Besides the construction of the classical shadow, our results give rise to sample-complexity guarantees for estimating Pauli observables. We then compare the performance of shadow estimation with brickwork circuits to the established approach using local Clifford unitaries and find improved sample complexity in the estimation of observables supported on sufficiently many qubits.en
dc.language.isoende_DE
dc.subjectQuantum Physicsde_DE
dc.subjectQuantum Physicsde_DE
dc.titleClosed-form analytic expressions for shadow estimation with brickwork circuitsde_DE
dc.typePreprintde_DE
dc.type.dinipreprint-
dcterms.DCMITypeText-
tuhh.abstract.englishProperties of quantum systems can be estimated using classical shadows, which implement measurements based on random ensembles of unitaries. Originally derived for global Clifford unitaries and products of single-qubit Clifford gates, practical implementations are limited to the latter scheme for moderate numbers of qubits. Beyond local gates, the accurate implementation of very short random circuits with two-local gates is still experimentally feasible and, therefore, interesting for implementing measurements in near-term applications. In this work, we derive closed-form analytical expressions for shadow estimation using brickwork circuits with two layers of parallel two-local Haar-random (or Clifford) unitaries. Besides the construction of the classical shadow, our results give rise to sample-complexity guarantees for estimating Pauli observables. We then compare the performance of shadow estimation with brickwork circuits to the established approach using local Clifford unitaries and find improved sample complexity in the estimation of observables supported on sufficiently many qubits.de_DE
tuhh.publication.instituteQuantum Inspired and Quantum Optimization E-25de_DE
tuhh.type.opusPreprint (Vorabdruck)-
dc.type.driverpreprint-
dc.type.casraiOther-
dc.relation.projectVerifizierung und Charakterisierung von Quantentechnologiede_DE
dc.relation.projectSkalierbarer Quantencomputer mit Hochfrequenz‐gesteuerten gespeicherten Ionende_DE
dc.relation.projectEffiziente Materialsimulation auf NISQ-Quantencomputern - Effizientes Auslesen von hybriden Quantencomputernde_DE
dc.identifier.arxiv2211.09835v1de_DE
datacite.resourceTypeGeneralPreprint-
item.creatorOrcidArienzo, Mirko-
item.creatorOrcidHeinrich, Markus-
item.creatorOrcidRoth, Ingo-
item.creatorOrcidKliesch, Martin-
item.grantfulltextnone-
item.creatorGNDArienzo, Mirko-
item.creatorGNDHeinrich, Markus-
item.creatorGNDRoth, Ingo-
item.creatorGNDKliesch, Martin-
item.mappedtypePreprint-
item.openairecristypehttp://purl.org/coar/resource_type/c_816b-
item.fulltextNo Fulltext-
item.cerifentitytypePublications-
item.languageiso639-1en-
item.openairetypePreprint-
crisitem.project.funderDeutsche Forschungsgemeinschaft (DFG)-
crisitem.project.funderBundesministerium für Bildung und Forschung (BMBF)-
crisitem.project.funderBundesministerium für Bildung und Forschung (BMBF)-
crisitem.project.funderid501100001659-
crisitem.project.funderid501100002347-
crisitem.project.funderid501100002347-
crisitem.project.funderrorid018mejw64-
crisitem.project.funderrorid04pz7b180-
crisitem.project.funderrorid04pz7b180-
crisitem.project.grantnoKL 3047/1-1-
crisitem.project.grantno13N15522-
crisitem.project.grantno13N15578-
crisitem.project.fundingProgramEmmy Noether-Programm-
crisitem.project.fundingProgramQuantum technologies – from basic research to market-
crisitem.author.deptQuantum-Inspired and Quantum Optimization E-25-
crisitem.author.orcid0000-0002-1191-7442-
crisitem.author.orcid0000-0002-8009-0549-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik (E)-
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