Local invariants for multi-partite entangled states allowing for a simple entanglement criterion

Details Local invariants for multi-partite entangled states allowing for a simple entanglement criterion Local invariants for multi-partite entangled states allowing for a simple entanglement criterion

2003-06-06

arxiv.org/abs/quant-ph/0306048v3

Quant. Inf. Comp. 4, 383 (2004)

Physics

Quantum Physics

12 pages. Version 3: minor corrections

Scientific paper

We present local invariants of multi-partite pure or mixed states, which can be easily calculated and have a straight-forward physical meaning. As an application, we derive a new entanglement criterion for arbitrary mixed states of $n$ parties. The new criterion is weaker than the partial transposition criterion but offers advantages for the study of multipartite systems. A straightforward generalization of these invariants allows for the construction of a complete set of observable polynomial invariants.

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