Quantifying Entanglement of Maximal Dimension in Bipartite Mixed States

Gael Sentís, Christopher Eltschka, Otfried Gühne, Marcus Huber, Jens Siewert

Research output: Contribution to journalArticleResearchpeer-review

18 Citations (Scopus)

Abstract

© 2016 American Physical Society. The Schmidt coefficients capture all entanglement properties of a pure bipartite state and therefore determine its usefulness for quantum information processing. While the quantification of the corresponding properties in mixed states is important both from a theoretical and a practical point of view, it is considerably more difficult, and methods beyond estimates for the concurrence are elusive. In particular this holds for a quantitative assessment of the most valuable resource, the forms of entanglement that can only exist in high-dimensional systems. We derive a framework for lower bounding the appropriate measure of entanglement, the so-called G-concurrence, through few local measurements. Moreover, we show that these bounds have relevant applications also for multipartite states.
Original languageEnglish
Article number190502
JournalPhysical Review Letters
Volume117
Issue number19
DOIs
Publication statusPublished - 4 Nov 2016

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