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arXiv · 2210.17204

Detecting entanglement harnessing Lindblad structure

Vaibhav Chimalgi·Bihalan Bhattacharya·Suchetana Goswami·Samyadeb Bhattacharya
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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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Vaibhav Chimalgi, Bihalan Bhattacharya, Suchetana Goswami, Samyadeb Bhattacharya. 2022-10-31. Detecting entanglement harnessing Lindblad structure. https://arxiv.org/abs/2210.17204

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