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

• URL: http://arxiv.org/abs/2008.12971v2
• Date: Fri, 18 Sep 2020 11:51:37 GMT
• Title: Generating and detecting bound entanglement in two-qutrits using a family of indecomposable positive maps
• Authors: Bihalan Bhattacharya, Suchetana Goswami, Rounak Mundra, Nirman Ganguly, Indranil Chakrabarty, Samyadeb Bhattacharya, and A. S. Majumdar
• Abstract summary: We propose an indecomposable positive map for two-qutrit systems. A corresponding witness operator is constructed and shown to be weakly optimal. We find a new entangled state which is not detectable by certain other well-known entanglement detection criteria.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 generate 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.

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