Detecting entanglement harnessing Lindblad structure

• URL: http://arxiv.org/abs/2210.17204v1
• Date: Mon, 31 Oct 2022 10:36:31 GMT
• Title: Detecting entanglement harnessing Lindblad structure
• Authors: Vaibhav Chimalgi, Bihalan Bhattacharya, Suchetana Goswami, and Samyadeb Bhattacharya
• Abstract summary: We study a class of positive maps arising from Lindblad structures. Generalizing the transposition map to a one parameter family we have used it to detect genuine multipartite entanglement.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 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.

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