Peres-horodecki separability criterion for continuous variable systems
@article{Simn2000PereshorodeckiSC,
title={Peres-horodecki separability criterion for continuous variable systems},
author={Sim{\'o}n},
journal={Physical review letters},
year={2000},
volume={84 12},
pages={
2726-9
}
}The Peres-Horodecki criterion of positivity under partial transpose is studied in the context of separability of bipartite continuous variable states. The partial transpose operation admits, in the continuous case, a geometric interpretation as mirror reflection in phase space. This recognition leads to uncertainty principles, stronger than the traditional ones, to be obeyed by all separable states. For all bipartite Gaussian states, the Peres-Horodecki criterion turns out to be a necessary and… CONTINUE READING
Topics from this paper.
1,137 Citations
Families of bipartite states classifiable by the positive partial transposition criterion
- Computer Science, Physics
- 2009
3
Strong subadditivity for log-determinant of covariance matrices and its applications
- Mathematics, Physics
- 2016
13