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

2004; Rinton Press; Volume: 4; Issue: 5 Linguagem: Inglês

10.26421/qic4.5-4

1533-7146

Hans Aschauer, John Calsamiglia, M. Hein, Hans J. Briegel,

Quantum Computing Algorithms and Architecture

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.