, Volume 72, Issue 1, pp 35-42
Date: 27 Apr 2014

Remarks on 2–q-bit states

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Abstract.

We distinguish six classes of families of locally equivalent states in a straightforward scheme for classifying all 2–q-bit states; four of the classes consist of two subclasses each. The simple criteria that we stated recently for checking a given state’s positivity and separability are justified, and we discuss some important properties of Lewenstein–Sanpera decompositions. An upper bound is conjectured for the sum of the degree of separability of a 2–q-bit state and its concurrence.

Received: 17 July 2000 / Published online: 6 December 2000