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

Authors:
Hans Aschauer;John Calsamiglia;Marc Hein;Hans J. Briegel
Affiliations:
Sektion Physik, Ludwig-Maximilians-Universität München, München, Germany;Institut für Theoretische Physik, Universität Innsbruck, Innsbruck, Austria;Sektion Physik, Ludwig-Maximilians-Universität München, München, Germany and Institut für Theoretische Physik, Universität Innsbruck, Innsbruck, Austria;Sektion Physik, Ludwig-Maximilians-Univ. München, München, Germany and Inst. für Theoretische Physik, Univ. Innsbruck, Innsbruck, Austria and Inst. für Quantenoptik und Quanten ...
Venue:
Quantum Information & Computation
Year:
2004

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Abstract

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