Class of genuinely high-dimensionally-entangled states with a positive partial transpose

Research output: Contribution to journalArticle

Abstract

Entangled states with a positive partial transpose (so-called PPT states) are central to many interesting problems in quantum theory. On the one hand, they are considered to be weakly entangled, since no pure state entanglement can be distilled from them. On the other hand, it has been shown recently that some of these PPT states exhibit genuinely high-dimensional entanglement, i.e., they have a high Schmidt number. Here we investigate the (d×d)-dimensional PPT states for d≥4 discussed recently by E. Sindici and M. Piani [Phys. Rev. A 97, 032319 (2018)2469-992610.1103/PhysRevA.97.032319]. By generalizing their methods to the calculation of Schmidt numbers, we show that a linear d/2 scaling of its Schmidt number in the local dimension d can be attained.

Original languageEnglish
Article number012310
JournalPhysical Review A
Volume100
Issue number1
DOIs
Publication statusPublished - Jul 8 2019

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  • Atomic and Molecular Physics, and Optics

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Class of genuinely high-dimensionally-entangled states with a positive partial transpose. / Pál, K.; Vértesi, T.

In: Physical Review A, Vol. 100, No. 1, 012310, 08.07.2019.

Research output: Contribution to journalArticle

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