Lorentz canoncial forms of two-qubit states
Quantum Physics
2025-07-08 v2
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.
Keywords
Cite
@article{arxiv.2402.09258,
title = {Lorentz canoncial forms of two-qubit states},
author = {Sudha and A. R. Usha Devi and B. N. Karthik and H. S. Karthik and Akshata Shenoy H and K. S. Mallesh and A. V. Gopala Rao},
journal= {arXiv preprint arXiv:2402.09258},
year = {2025}
}
Comments
12 pages, 8 figures, one table; typos in Example 2 corrected; Submitted to "Bound States and Quantum Correlations - ARP Rau special collection"