Bounds on the entanglement of two-qutrit systems from fixed marginals

Giuseppe Baio , Dariusz Chruściński , Paweł Horodecki , Antonino Messina , Gniewomir Sarbicki

Abstract

We discuss the problem of characterizing upper bounds on entanglement in a bipartite quantum system when only the reduced density matrices (marginals) are known. In particular, starting from the known two-qubit case, we propose a family of candidates for maximally entangled mixed states with respect to fixed marginals for two qutrits. These states are extremal in the convex set of two-qutrit states with fixed marginals. Moreover, it is shown that they are always quasidistillable. As a by-product we prove that any maximally correlated state that is quasidistillable must be pure. Our observations for two qutrits are supported by numerical analysis.
Author Giuseppe Baio
Giuseppe Baio,,
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, Dariusz Chruściński
Dariusz Chruściński,,
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, Paweł Horodecki (ICTQT) - [Politechnika Gdańska]
Paweł Horodecki,,
- International Centre for Theory of Quantum Technologies
- Politechnika Gdańska
, Antonino Messina
Antonino Messina,,
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, Gniewomir Sarbicki
Gniewomir Sarbicki,,
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Journal seriesPhysical Review A, ISSN 2469-9926, e-ISSN 2469-9934, (N/A 100 pkt)
Issue year2019
Vol99
No6
Pages1-10
Publication size in sheets0.5
Article number062312
ASJC Classification3107 Atomic and Molecular Physics, and Optics
DOIDOI:10.1103/PhysRevA.99.062312
URL https://doi.org/10.1103/PhysRevA.99.062312
Languageen angielski
Score (nominal)100
Score sourcejournalList
ScoreMinisterial score = 100.0, 28-01-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2017 = 0.886; WoS Impact Factor: 2018 = 2.907 (2) - 2018=2.723 (5)
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