• Broadcasting of NPT entanglement in two qutrit systems

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/095/0060

• # Abstract

It is known that beyond $2\otimes 2$ and $2\otimes 3$ dimensional quantum systems, Peres–Hordecki criterion is no longer sufficient as an entanglement detection criterion as there are entangled states with both positive and negative partial transpose (PPT and NPT). Further, it is also true that all PPT entangled states are bound entangled states. However, in the class of NPT states, there exist bound entangled states as well as free entangled states. All free/useful/distillable entanglements are part of the class of NPT entangled states. In this article, we ask the question that given an NPT entangled state in $3\otimes3$ dimensional system as a resource, how much entanglement can we broadcast so that resource still remains NPT. We have chosen $3\otimes3$ system as a first step to understand broadcasting of NPT states in higher dimensional systems. In particular, we find out the range of broadcasting of NPT entanglement for two-parameter class of states (TPCS) and isotropic states (IS). Interestingly, as a derivative of this process we are also able to locate the existence of absolute PPT (ABPPT) states in $3 \otimes 3$ dimensional system. Here we implement the strategy of broadcasting through approximate cloning operations.

• # Author Affiliations

1. Centre for Computational Natural Sciences and Bioinformatics, International Institute of Information Technology-Hyderabad, Gachibowli 500 032, India
2. Centre for Security, Theory and Algorithmic Research, International Institute of Information Technology-Hyderabad, Gachibowli 500 032, India
3. Department of Mathematics, Birla Institute of Technology and Science Pilani, Hyderabad Campus, Hyderabad 500 078, India

• # Pramana – Journal of Physics

Volume 95, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019