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MP: Theoretische und Mathematische Grundlagen der Physik

MP 4: Quanteninformation, Quantenchaos

MP 4.2: Fachvortrag

Tuesday, March 25, 2003, 17:00–17:30, F309

Distinguishing Separable and Entangled States — •Oliver Rudolph — Dipartimento di Fisica “A.Volta,” Università di Pavia, via Bassi 6, 27100 Pavia, Italy

Entanglement of composite quantum systems is a key resource in many applications of quantum information technology. Accordingly the characterization and classification of entanglement is an important area of research in quantum information. In particular criteria to decide whether or not a given quantum state is entangled are of high theoretical and practical interest (so-called separability criteria).

We discuss recent progress within a novel mathematical approach to this problem that aims to characterize entanglement using tensor norms [1-3]. We discuss the wider mathematical context of the approach and its relation to known results. Notably within this approach a new powerful analytical computable separability criterion has been derived [1] that detects even bound entanglement and, quite surprisingly, also genuine multipartite entanglement [4]. So far this criterion is the only analytical computable criterion that is known to systematically detect these subtle forms of entanglement.

[1] O. Rudolph, quant-ph/0202121.

[2] O. Rudolph, J. Phys. A: Math. Gen. 33 3951 (2000).

[3] O. Rudolph, quant-ph/0212047.

[4] M. Horodecki, P. Horodecki and R. Horodecki, quant-ph/0206008.