Detecting entanglement harnessing Lindblad structure

Vaibhav Chimalgi, Bihalan Bhattacharya, Suchetana Goswami*, Samyadeb Bhattacharya

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

The problem of entanglement detection is a long standing problem in quantum information theory. One of the primary procedures of detecting entanglement is to find the suitable positive but non-completely positive maps. Here we try to give a generic prescription to construct a positive map that can be useful for such scenarios. We study a class of positive maps arising from Lindblad structures. We show that two famous positive maps viz. transposition, reduction map and Choi map can be obtained as a special case of a class of positive maps having Lindblad structure. Generalizing the transposition map to a one parameter family we have used it to detect genuine multipartite entanglement. Finally being motivated by the negativity of entanglement, we have defined a similar measure for genuine multipartite entanglement.

Original languageEnglish
Article number115117
Pages (from-to)1-11
JournalPhysica scripta
Volume98
Issue number11
DOIs
Publication statusPublished - 19 Oct 2023

Keywords / Materials (for Non-textual outputs)

  • detecting entanglement
  • Lindblad master equation
  • multipartite entanglement
  • positive maps

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