dc.contributor.author
Gluza, M.
dc.contributor.author
Kliesch, M.
dc.contributor.author
Eisert, Jens
dc.contributor.author
Aolita, Leandro
dc.date.accessioned
2019-02-28T11:47:45Z
dc.date.available
2019-02-28T11:47:45Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/23968
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-1743
dc.description.abstract
The experimental interest and developments in quantum spin-1/2 chains has increased uninterruptedly over the past decade. In many instances, the target quantum simulation belongs to the broader class of noninteracting fermionic models, constituting an important benchmark. In spite of this class being analytically efficiently tractable, no direct certification tool has yet been reported for it. In fact, in experiments, certification has almost exclusively relied on notions of quantum state tomography scaling very unfavorably with the system size. Here, we develop experimentally friendly fidelity witnesses for all pure fermionic Gaussian target states. Their expectation value yields a tight lower bound to the fidelity and can be measured efficiently. We derive witnesses in full generality in the Majorana-fermion representation and apply them to experimentally relevant spin-1/2 chains. Among others, we show how to efficiently certify strongly out-of-equilibrium dynamics in critical Ising chains. At the heart of the measurement scheme is a variant of importance sampling specially tailored to overlaps between covariance matrices. The method is shown to be robust against finite experimental-state infidelities.
en
dc.subject
Entanglement measures
en
dc.subject
Quantum benchmarking
en
dc.subject
Quantum simulation
en
dc.subject
Quantum Information
en
dc.subject.ddc
500 Natural sciences and mathematics::530 Physics::539 Modern physics
dc.title
Fidelity Witnesses for Fermionic Quantum Simulations
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.articlenumber
190501
dcterms.bibliographicCitation.doi
10.1103/PhysRevLett.120.190501
dcterms.bibliographicCitation.journaltitle
Physical Review Letters
dcterms.bibliographicCitation.number
19
dcterms.bibliographicCitation.volume
120
dcterms.bibliographicCitation.url
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.120.190501
dcterms.rightsHolder.note
Copyright des Verlages
dcterms.rightsHolder.url
http://journals.aps.org/copyrightFAQ.html#post
refubium.affiliation
Physik
refubium.affiliation.other
Institut für Theoretische Physik

refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.issn
1079-7114 (Online)
dcterms.isPartOf.issn
0031-9007 (Print)