Generating and detecting bound entanglement in two-qutrits using a family of indecomposable positive maps

Bihalan Bhattacharya, Suchetana Goswami*, Rounak Mundra, Nirman Ganguly, Indranil Chakrabarty, Samyadeb Bhattacharya, A. S. Majumdar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

The problem of bound entanglement detection is a challenging aspect of quantum information theory for higher dimensional systems. Here, we propose an indecomposable positive map for two-qutrit systems, which is shown to detect a class of positive partial transposed (PPT) states. A corresponding witness operator is constructed and shown to be weakly optimal and locally implementable. Further, we perform a structural physical approximation of the indecomposable map to make it a completely positive one, and find a new PPT-entangled state which is not detectable by certain other well-known entanglement detection criteria.

Original languageEnglish
Article number065008
Pages (from-to)1-13
JournalJournal of Physics Communications
Volume5
Issue number6
DOIs
Publication statusPublished - 25 Jun 2021

Keywords / Materials (for Non-textual outputs)

  • Detecting entanglement
  • Entanglement
  • Positive map
  • Structural physical approximation
  • Weakly optimal

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