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dc.contributor.author
Jandura, Sven
dc.contributor.author
Tan, Ying Zhe Ernest
dc.date.accessioned
2022-01-24T14:01:32Z
dc.date.available
2022-01-18T10:18:49Z
dc.date.available
2022-01-24T14:01:32Z
dc.date.issued
2021-08-18
dc.identifier.uri
http://hdl.handle.net/20.500.11850/526503
dc.identifier.doi
10.3929/ethz-b-000526503
dc.description.abstract
The aim of device-independent quantum key distribution (DIQKD) is to study protocols that allow the generation of a secret shared key between two parties under minimal assumptions on the devices that produce the key. These devices are merely modeled as black boxes and mathematically described as conditional probability distributions. A major obstacle in the analysis of DIQKD protocols is the huge space of possible black box behaviors. De Finetti theorems can help to overcome this problem by reducing the analysis to black boxes that have an iid structure. Here we show two new de Finetti theorems that relate conditional probability distributions in the quantum set to de Finetti distributions (convex combinations of iid distributions), that are themselves in the quantum set. We also show how one of these de Finetti theorems can be used to enforce some restrictions onto the attacker of a DIQKD protocol. Finally we observe that some desirable strengthenings of this restriction, for instance to collective attacks only, are not straightforwardly possible.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Cornell University
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.title
De Finetti Theorems for Quantum Conditional Probability Distributions with Symmetry
en_US
dc.type
Working Paper
dc.rights.license
Creative Commons Attribution 4.0 International
ethz.journal.title
arXiv
ethz.pages.start
2108.08251
en_US
ethz.size
30 p.
en_US
ethz.identifier.arxiv
2108.08251
ethz.publication.place
Ithaca, NY
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03781 - Renner, Renato / Renner, Renato
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03781 - Renner, Renato / Renner, Renato
en_US
ethz.relation.isPreviousVersionOf
10.3929/ethz-b-000633103
ethz.date.deposited
2022-01-18T10:18:55Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2022-01-24T14:01:39Z
ethz.rosetta.lastUpdated
2022-03-29T17:47:36Z
ethz.rosetta.versionExported
true
ethz.COinS
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