English

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.

Keywords

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

R2 v1 2026-06-22T15:11:05.682Z