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dc.contributor.author
Tavakoli, Armin
dc.contributor.author
Bengtsson, Ingemar
dc.contributor.author
Gisin, Nicolas
dc.contributor.author
Renes, Joseph M.
dc.date.accessioned
2020-10-30T07:21:51Z
dc.date.available
2020-10-22T08:38:21Z
dc.date.available
2020-10-23T06:56:31Z
dc.date.available
2020-10-23T07:04:49Z
dc.date.available
2020-10-30T07:21:51Z
dc.date.issued
2020
dc.identifier.uri
http://hdl.handle.net/20.500.11850/447160
dc.description.abstract
Symmetric informationally complete measurements (SICs) are elegant, celebrated and broadly useful discrete structures in Hilbert space. We introduce a more sophisticated discrete structure compounded by several SICs. A SIC-compound is defined to be a collection of d3 vectors in d-dimensional Hilbert space that can be partitioned in two different ways: into d SICs and into d2 orthonormal bases. While a priori their existence may appear unlikely when d>2, we surprisingly answer it in the positive through an explicit construction for d=4. Remarkably this SIC-compound admits a close relation to mutually unbiased bases, as is revealed through quantum state discrimination. Going beyond fundamental considerations, we leverage these exotic properties to construct a protocol for quantum key distribution and analyze its security under general eavesdropping attacks. We show that SIC-compounds enable secure key generation in the presence of errors that are large enough to prevent the success of the generalisation of the six-state protocol.
en_US
dc.language.iso
en
en_US
dc.publisher
Cornell University
en_US
dc.title
Compounds of symmetric informationally complete measurements and their application in quantum key distribution
en_US
dc.type
Working Paper
dc.date.published
2020-07-02
ethz.journal.title
arXiv
ethz.pages.start
2007.01007
en_US
ethz.size
8 p.
en_US
ethz.identifier.arxiv
2007.01007
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-000447602
ethz.date.deposited
2020-10-22T08:38:31Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2020-10-23T06:56:43Z
ethz.rosetta.lastUpdated
2021-02-15T19:28:46Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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