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Neutrinos as qubits and qutrits

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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.

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Acknowledgements

AKJ acknowledges a project funded by SERB, India, with Ref. No. CRG/2022/003460, for partial support towards this research. AC would like to acknowledge the support from DST for this work through the project: DST/02/0201/2019/01488.

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Authors and Affiliations

  1. School of Physics, University of Hyderabad, Hyderabad, 500046, India

    Abhishek Kumar Jha, Akshay Chatla & Bindu A. Bambah

  2. Department of Physics, Indian Institute of Science, Bengaluru, 560012, India

    Abhishek Kumar Jha

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Correspondence to Abhishek Kumar Jha.

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Jha, A.K., Chatla, A. & Bambah, B.A. Neutrinos as qubits and qutrits. Eur. Phys. J. Plus 139, 68 (2024). https://doi.org/10.1140/epjp/s13360-024-04861-5

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