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arXiv · 2402.09258

Lorentz canoncial forms of two-qubit states

Sudha·A. R. Usha Devi·B. N. Karthik·H. S. Karthik·Akshata Shenoy H·K. S. Mallesh·A. V. Gopala Rao
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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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Sudha, A. R. Usha Devi, B. N. Karthik, H. S. Karthik, Akshata Shenoy H, K. S. Mallesh, A. V. Gopala Rao. 2024-02-14. Lorentz canoncial forms of two-qubit states. https://doi.org/10.1139/cjp-2024-0039

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