DC Field | Value | Language |
---|---|---|
dc.contributor.author | Arienzo, Mirko | - |
dc.contributor.author | Heinrich, Markus | - |
dc.contributor.author | Roth, Ingo | - |
dc.contributor.author | Kliesch, Martin | - |
dc.date.accessioned | 2022-11-23T12:34:01Z | - |
dc.date.available | 2022-11-23T12:34:01Z | - |
dc.date.issued | 2022-11 | - |
dc.identifier.citation | arXiv:2211.09835v1 (2022-11) | de_DE |
dc.identifier.uri | http://hdl.handle.net/11420/14132 | - |
dc.description.abstract | Properties 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.iso | en | de_DE |
dc.subject | Quantum Physics | de_DE |
dc.subject | Quantum Physics | de_DE |
dc.title | Closed-form analytic expressions for shadow estimation with brickwork circuits | de_DE |
dc.type | Preprint | de_DE |
dc.type.dini | preprint | - |
dcterms.DCMIType | Text | - |
tuhh.abstract.english | Properties 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.institute | Quantum Inspired and Quantum Optimization E-25 | de_DE |
tuhh.type.opus | Preprint (Vorabdruck) | - |
dc.type.driver | preprint | - |
dc.type.casrai | Other | - |
dc.relation.project | Verifizierung und Charakterisierung von Quantentechnologie | de_DE |
dc.relation.project | Skalierbarer Quantencomputer mit Hochfrequenz‐gesteuerten gespeicherten Ionen | de_DE |
dc.relation.project | Effiziente Materialsimulation auf NISQ-Quantencomputern - Effizientes Auslesen von hybriden Quantencomputern | de_DE |
dc.identifier.arxiv | 2211.09835v1 | de_DE |
datacite.resourceTypeGeneral | Preprint | - |
item.creatorOrcid | Arienzo, Mirko | - |
item.creatorOrcid | Heinrich, Markus | - |
item.creatorOrcid | Roth, Ingo | - |
item.creatorOrcid | Kliesch, Martin | - |
item.grantfulltext | none | - |
item.creatorGND | Arienzo, Mirko | - |
item.creatorGND | Heinrich, Markus | - |
item.creatorGND | Roth, Ingo | - |
item.creatorGND | Kliesch, Martin | - |
item.mappedtype | Preprint | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.fulltext | No Fulltext | - |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en | - |
item.openairetype | Preprint | - |
crisitem.project.funder | Deutsche Forschungsgemeinschaft (DFG) | - |
crisitem.project.funder | Bundesministerium für Bildung und Forschung (BMBF) | - |
crisitem.project.funder | Bundesministerium für Bildung und Forschung (BMBF) | - |
crisitem.project.funderid | 501100001659 | - |
crisitem.project.funderid | 501100002347 | - |
crisitem.project.funderid | 501100002347 | - |
crisitem.project.funderrorid | 018mejw64 | - |
crisitem.project.funderrorid | 04pz7b180 | - |
crisitem.project.funderrorid | 04pz7b180 | - |
crisitem.project.grantno | KL 3047/1-1 | - |
crisitem.project.grantno | 13N15522 | - |
crisitem.project.grantno | 13N15578 | - |
crisitem.project.fundingProgram | Emmy Noether-Programm | - |
crisitem.project.fundingProgram | Quantum technologies – from basic research to market | - |
crisitem.author.dept | Quantum-Inspired and Quantum Optimization E-25 | - |
crisitem.author.orcid | 0000-0002-1191-7442 | - |
crisitem.author.orcid | 0000-0002-8009-0549 | - |
crisitem.author.parentorg | Studiendekanat Elektrotechnik, Informatik und Mathematik (E) | - |
Appears in Collections: | Publications without fulltext |
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