Group theoretical approach to entanglement

Details Group theoretical approach to entanglement Group theoretical approach to entanglement

2006-01-27

arxiv.org/abs/quant-ph/0601189v3

Phys. Rev. A 74, 022318 (2006)

Physics

Quantum Physics

Final version, REVTeX4 9 pages

Scientific paper

10.1103/PhysRevA.74.022318

We present a novel, universal description of quantum entanglement using group theory and generalized characteristic functions. It leads to new reformulations of the separability problem, and the positivity of partial transpose (PPT) criterion. The latter turns out to be intimately related to a certain reality condition for group representations. Within our formalism, we also show a connection between existence of entanglement and group non-commutativity.

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