Geometry of entangled states

Details Geometry of entangled states Geometry of entangled states

2000-06-14

arxiv.org/abs/quant-ph/0006068v3

Phys. Rev A 63 032307-13 (2001)

Physics

Quantum Physics

16 latex pages, 4 figures in epsf, minor corrections, references updated, to appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.63.032307

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.

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