Quantum magic and computational complexity in the neutrino sector
We consider the quantum magic in systems of dense neutrinos undergoing coherent flavor transformations, relevant for supernova and neutron-star binary mergers. Mapping the three-flavor-neutrino system to qutrits, the evolution of quantum magic is explored in the single scattering angle limit for a s...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-06-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.023228 |
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| _version_ | 1850122956363005952 |
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| author | Ivan Chernyshev Caroline E. P. Robin Martin J. Savage |
| author_facet | Ivan Chernyshev Caroline E. P. Robin Martin J. Savage |
| author_sort | Ivan Chernyshev |
| collection | DOAJ |
| description | We consider the quantum magic in systems of dense neutrinos undergoing coherent flavor transformations, relevant for supernova and neutron-star binary mergers. Mapping the three-flavor-neutrino system to qutrits, the evolution of quantum magic is explored in the single scattering angle limit for a selection of initial tensor-product pure states for N_{ν}≤8 neutrinos. For |ν_{e}〉^{⊗N_{ν}} initial states, the magic, as measured by the α=2 stabilizer Renyi entropy M_{2}, is found to decrease with radial distance from the neutrino sphere, reaching a value that lies below the maximum for tensor-product qutrit states. Further, the asymptotic magic per neutrino, M_{2}/N_{ν}, decreases with increasing N_{ν}. In contrast, the magic evolving from states containing all three flavors reaches values only possible with entanglement, with the asymptotic M_{2}/N_{ν} increasing with N_{ν}. These results highlight the connection between the complexity in simulating quantum physical systems and the parameters of the Standard Model. |
| format | Article |
| id | doaj-art-89f01e092d094495aa4f96b64c962a7c |
| institution | OA Journals |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-89f01e092d094495aa4f96b64c962a7c2025-08-20T02:34:43ZengAmerican Physical SocietyPhysical Review Research2643-15642025-06-017202322810.1103/PhysRevResearch.7.023228Quantum magic and computational complexity in the neutrino sectorIvan ChernyshevCaroline E. P. RobinMartin J. SavageWe consider the quantum magic in systems of dense neutrinos undergoing coherent flavor transformations, relevant for supernova and neutron-star binary mergers. Mapping the three-flavor-neutrino system to qutrits, the evolution of quantum magic is explored in the single scattering angle limit for a selection of initial tensor-product pure states for N_{ν}≤8 neutrinos. For |ν_{e}〉^{⊗N_{ν}} initial states, the magic, as measured by the α=2 stabilizer Renyi entropy M_{2}, is found to decrease with radial distance from the neutrino sphere, reaching a value that lies below the maximum for tensor-product qutrit states. Further, the asymptotic magic per neutrino, M_{2}/N_{ν}, decreases with increasing N_{ν}. In contrast, the magic evolving from states containing all three flavors reaches values only possible with entanglement, with the asymptotic M_{2}/N_{ν} increasing with N_{ν}. These results highlight the connection between the complexity in simulating quantum physical systems and the parameters of the Standard Model.http://doi.org/10.1103/PhysRevResearch.7.023228 |
| spellingShingle | Ivan Chernyshev Caroline E. P. Robin Martin J. Savage Quantum magic and computational complexity in the neutrino sector Physical Review Research |
| title | Quantum magic and computational complexity in the neutrino sector |
| title_full | Quantum magic and computational complexity in the neutrino sector |
| title_fullStr | Quantum magic and computational complexity in the neutrino sector |
| title_full_unstemmed | Quantum magic and computational complexity in the neutrino sector |
| title_short | Quantum magic and computational complexity in the neutrino sector |
| title_sort | quantum magic and computational complexity in the neutrino sector |
| url | http://doi.org/10.1103/PhysRevResearch.7.023228 |
| work_keys_str_mv | AT ivanchernyshev quantummagicandcomputationalcomplexityintheneutrinosector AT carolineeprobin quantummagicandcomputationalcomplexityintheneutrinosector AT martinjsavage quantummagicandcomputationalcomplexityintheneutrinosector |