Lorentz canoncial forms of two-qubit states

Abstract

The Bloch sphere provides an elegant way of visualizing a qubit. Analogous representation of the simplest composite state of two-qubits has attracted significant attention. Here we present a detailed mathematical analysis of the real-matrix parametrization and associated geometric picturization of arbitrary two-qubit states - up to their local SL2C equivalence, in terms of canonical ellipsoids inscribed within the Bloch sphere.

12 pages, 8 figures, one table; typos in Example 2 corrected; Submitted to "Bound States and Quantum Correlations - ARP Rau special collection"

References in corpus (7)

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