Hannover 2013 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 46: Quantum information: Concepts and methods IV
Q 46.5: Talk
Thursday, March 21, 2013, 12:00–12:15, E 001
A classification scheme of pure multipartite states — Markus Johansson1,3, •Andreas Osterloh2, Marie Ericsson3, and Eric Sjöqvist3 — 1Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore, Singapore. — 2Fakultät für Physik, Universität Duisburg-Essen, Lotharstr. 1, 47048 Duisburg, Germany. — 3Department of Quantum Chemistry, Uppsala University, Box 518, Se-751 20 Uppsala, Sweden.
We present a classification scheme based on balancedness of a state. Since the c-balanced states classify the SL-semistable states, a-balanced states are the bridge towards those states, which are characterized by unbalanced states. Together with U-invariants of bi-degree (m,n) which are known to have a topological phase, we have a complete characterization scheme from maximal genuinely entangled states that are representatives of the SL group (2n,0) down to the SU group (n,n). As a by-product we distill generalizations to the W-state, states that are entangled, but contain only globally distributed entanglement of parts of the systems.