Lorentz canoncial forms of two-qubit states

• URL: http://arxiv.org/abs/2402.09258v2
• Date: Sat, 17 Feb 2024 05:30:53 GMT
• Title: Lorentz canoncial forms of two-qubit states
• Authors: Sudha, A. R. Usha Devi, B. N. Karthik, H. S. Karthik, Akshata Shenoy H, K. S. Mallesh and A. V. Gopala Rao
• Abstract summary: The Bloch sphere provides an elegant way of visualizing a qubit. We show a detailed mathematical analysis of the real-matrix parametrization and associated geometric picturization of arbitrary two-qubit states.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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