Quantum Resource Analysis of Collective Neutrino Simulations

Michael Hite, PhD

Neutrinos are a dominant energy transporter in type-II supernova because of their minimal interaction with matter. These neutrinos form a very large quantum many body system, so understanding the dynamics of this system will help to explain the larger explosion. With this type of simulation on quantum computers still being a way off, classical simulations with Matrix Product State (MPS) methods are still very useful. Simplifying the system to tens of two-flavor neutrinos with at most two body interactions, we measure quantum resources like entanglement entropy and stabilizer Renyi entropy that have a major effect on computational complexity. We show the effect on these resources for truncation of the MPSs and change of basis. Finally, we discuss possible improvements by incorporating the recent Stabilizer Tensor Network framework and or the inclusion of quantum computers in simulation.

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