Lorentz canoncial forms of two-qubit states
arxiv(2024)
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.
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