Geometrically induced singular behavior of entanglement

Details Geometrically induced singular behavior of entanglement Geometrically induced singular behavior of entanglement

2007-09-03

arxiv.org/abs/0709.0301v2

Phys. Rev. A 78, 012318 (2008)

Physics

Quantum Physics

v2: 4 pags, 4 figs. A discussion before the proof of Proposition 1 and tomographic results were included, Propostion 2 was rem

Scientific paper

10.1103/PhysRevA.78.012318

We show that the geometry of the set of quantum states plays a crucial role in the behavior of entanglement in different physical systems. More specifically it is shown that singular points at the border of the set of unentangled states appear as singularities in the dynamics of entanglement of smoothly varying quantum states. We illustrate this result by implementing a photonic parametric down conversion experiment. Moreover, this effect is connected to recently discovered singularities in condensed matter models.

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