Geometry of entanglement witnesses for two qutrits

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dc.contributor.author Chruściński, Dariusz
dc.contributor.author Wudarski, Filip A.
dc.date.accessioned 2012-11-30T08:46:16Z
dc.date.available 2012-11-30T08:46:16Z
dc.date.issued 2011-05-24
dc.identifier.citation Open Sys. Information Dyn. 18, 387 (2011)
dc.identifier.uri http://repozytorium.umk.pl/handle/item/167
dc.description.abstract We characterize a convex subset of entanglement witnesses for two qutrits. Equivalently, we provide a characterization of the set of positive maps in the matrix algebra of 3 x 3 complex matrices. It turns out that boundary of this set displays elegant representation in terms of SO(2) rotations. We conjecture that maps parameterized by rotations are optimal, i.e. they provide the strongest tool for detecting quantum entanglement. As a byproduct we found a new class of decomposable entanglement witnesses parameterized by improper rotations from the orthogonal group O(2).
dc.language.iso eng
dc.relation.uri http://arxiv.org/abs/1105.4821
dc.rights info:eu-repo/semantics/openAccess
dc.subject Quantum Physics
dc.subject Mathematical Physics
dc.title Geometry of entanglement witnesses for two qutrits
dc.type info:eu-repo/semantics/article

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