Quantum Magic and Computational Complexity in the Neutrino Sector
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arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929580447629312 |
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| author | Chernyshev, Ivan Robin, Caroline E. P. Savage, Martin J. |
| author_facet | Chernyshev, Ivan Robin, Caroline E. P. Savage, Martin J. |
| contents | 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 $N_ν\le 8$ neutrinos. For $|ν_e\rangle^{\otimes N_ν}$ 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04203 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Magic and Computational Complexity in the Neutrino Sector Chernyshev, Ivan Robin, Caroline E. P. Savage, Martin J. Quantum Physics High Energy Physics - Phenomenology Nuclear Theory 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 $N_ν\le 8$ neutrinos. For $|ν_e\rangle^{\otimes N_ν}$ 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. |
| title | Quantum Magic and Computational Complexity in the Neutrino Sector |
| topic | Quantum Physics High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2411.04203 |