Uncertainty relation and inseparability criterion
Quantum Physics
2016-12-21 v1
Abstract
We investigate the Peres-Horodecki positive partial transpose (PPT) criterion in the context of conserved quantities and derive a condition of in- separability for a composite bipartite system depending only on the dimen- sions of its subsystems, which leads to a bi-linear entanglement witness for the two qubit system. A separability inequality using generalized Schrodinger- Robertson uncertainty relation taking suitable operators, has been derived, which proves to be stronger than the bi-linear entanglement witness operator. In the case of mixed density matrices, it identically distinguishes the separable and non separable Werner states.
Cite
@article{arxiv.1608.01177,
title = {Uncertainty relation and inseparability criterion},
author = {Ashutosh K. Goswami and Prasanta K. Panigrahi},
journal= {arXiv preprint arXiv:1608.01177},
year = {2016}
}
Comments
7 pages