Berlin 2001 – scientific programme
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Q: Quantenoptik
Q 9: Poster: Quantum Information
Q 9.3: Poster
Tuesday, April 3, 2001, 12:30–15:00, AT2
The Schmidt measure as a tool for quantifying multi-particle entanglement — •Jens Eisert1,2 and Hans-J. Briegel3 — 1Institut für Physik, Universität Potsdam, 14469 Potsdam, Germany — 2Optics Section, Blackett Laboratory, Imperial College, London SW7 2BZ, United Kingdom — 3Sektion Physik, Ludwig-Maximilians-Universität München, 80333 München, Germany
We present a measure of quantum entanglement which is capable of quantifying the degree of entanglement of a general multi-partite quantum system. Based on a generalization of the Schmidt rank of a pure state, this measure is defined on the full state space and is shown to be an entanglement monotone. That is, it cannot increase on average under local quantum operations with classical communication and under mixing. Partly due to the fact that it is a non-continuous and coarse grained measure, it can be calculated exactly for a large class of mixed states. In particular, it provides a detailed classification of mixed states in the multi-party domain.