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Separability of entangled q-bit pairs
Authors:Berthold-Georg Englert  Nasser Metwallys
Affiliation:1. Max-Planck-Institut fur Quantenoptik , Hans-Kopfermann-Strasse 1, 85748, Garching, Germany;2. TAbteilung fur Quantenphysik, Universitat Ulm , Albert-Einstein-Allee 1, 89081, Ulm, Germany;3. Sektion Physik, Universitat Munchen , TheresienstraBe 37, 80333, Munchen, Germany
Abstract:Abstract

The state of an entangled q-bit pair is specified by 15 numerical parameters that are naturally regarded as the components of two 3-vectors and a 3 × 3 dyadic. There are easy-to-use criteria to check whether a given pair of 3-vectors plus a dyadic specify a 2-q-bit state; and if they do, whether the state is entangled; and if it is, whether it is a separable state. Some progress has been made in the search for analytical expressions for the degree of separability. We report, in particular, the answer in the case of vanishing 3-vectors.
Keywords:
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