Neutrinos as qubits and qutrits
arXiv:2203.13485 · doi:10.1140/epjp/s13360-024-04861-5
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.
arXiv commentThis version of the paper was submitted to the journal. 33 pages and 3 figures
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