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Abstract
Quantum information theory has recently emerged as a flourishing area of research and quantum complexity, one of its powerful measures, is being applied for investigating complex systems in many areas of physics. Its application to practical physical situations, however, is still few and far between. Neutrino flavor oscillation is a widely studied physical phenomena with far reaching consequences in understanding the standard model of particle physics and to search for physics beyond it. Oscillation arises because of mixing between the flavor and mass eigenstates, and their evolution over time. It is an inherent quantum system for which flavor transitions are traditionally studied with probabilistic measures. We have applied quantum complexity formalism as an alternate measure to study neutrino oscillations. In particular, quantum spread complexity revealed additional information on the violation of charge-parity symmetry in the neutrino sector. Our results indicate that complexity favors the maximum violation of charge-parity, hinted recently by experimental data.
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Details
1 University of Johannesburg, Centre for Astro-Particle Physics (CAPP) and Department of Physics, Auckland Park, South Africa (GRID:grid.412988.e) (ISNI:0000 0001 0109 131X)
2 University of Cape Town, High Energy Physics, Cosmology and Astrophysics Theory Group and The Laboratory for Quantum Gravity and Strings, Department of Mathematics and Applied Mathematics, Cape Town, South Africa (GRID:grid.7836.a) (ISNI:0000 0004 1937 1151); Brac University, Department of Mathematics and Natural Sciences, Dhaka, Bangladesh (GRID:grid.52681.38) (ISNI:0000 0001 0746 8691); National Institute for Theoretical and Computational Sciences (NITheCS), Matieland, South Africa (GRID:grid.52681.38)
3 University of Johannesburg, Centre for Astro-Particle Physics (CAPP) and Department of Physics, Auckland Park, South Africa (GRID:grid.412988.e) (ISNI:0000 0001 0109 131X); The George Washington University, Department of Physics, Washington, USA (GRID:grid.253615.6) (ISNI:0000 0004 1936 9510); National Institute for Theoretical and Computational Sciences (NITheCS), Matieland, South Africa (GRID:grid.253615.6)