Jha, AK and Chatla, A and Bambah, BA (2024) Neutrinos as qubits and qutrits. In: European Physical Journal Plus, 139 (1).
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Abstract
We map neutrinos to qubit and qutrit states of quantum information theory by constructing the Poincaré sphere using SU(2) Pauli matrices and SU(3) Gell-Mann matrices, respectively. The construction of the Poincaré sphere in the two-qubit system enables us to construct the Bloch matrix, which yields valuable symmetries in the Bloch vector space of two neutrino systems. By identifying neutrinos with qutrits, we calculate the measures of qutrit entanglement for neutrinos. We use SU(3) Gell-Mann matrices tensor products to construct the Poincaré sphere of two qutrits neutrino systems. The comparison between the entanglement measures of bipartite qubits and bipartite qutrits in the two neutrino system are shown. The result warrants a study of two qutrits entanglement in the three neutrino system. © 2024, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.
| Item Type: | Journal Article |
|---|---|
| Publication: | European Physical Journal Plus |
| Publisher: | Springer Science and Business Media Deutschland GmbH |
| Additional Information: | The copyright for this article belongs to author |
| Department/Centre: | UG Programme Others |
| Date Deposited: | 01 Mar 2024 09:03 |
| Last Modified: | 01 Mar 2024 09:03 |
| URI: | https://eprints.iisc.ac.in/id/eprint/83956 |
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