Geometry of entangled states
Quantum Physics
2009-11-06 v3
Abstract
Geometric properties of the set of quantum entangled states are investigated. We propose an explicit method to compute the dimension of local orbits for any mixed state of the general K x M problem and characterize the set of effectively different states (which cannot be related by local transformations). Thus we generalize earlier results obtained for the simplest 2 x 2 system, which lead to a stratification of the 6D set of N=4 pure states. We define the concept of absolutely separable states, for which all globally equivalent states are separable.
Cite
@article{arxiv.quant-ph/0006068,
title = {Geometry of entangled states},
author = {Marek Kus and Karol Zyczkowski},
journal= {arXiv preprint arXiv:quant-ph/0006068},
year = {2009}
}
Comments
16 latex pages, 4 figures in epsf, minor corrections, references updated, to appear in Phys. Rev. A