Collective Neutrino Oscillations on a Quantum Computer
We calculate the energy levels of a system of neutrinos undergoing collective
oscillations as functions of an effective coupling strength and radial distance
from the neutrino source using the quantum Lanczos (QLanczos) algorithm
implemented on IBM Q quantum computer hardware. Our calculations are based on
the many-body neutrino interaction Hamiltonian introduced in Ref.\
\cite{Patwardhan2019}. We show that the system Hamiltonian can be separated
into smaller blocks, which can be represented using fewer qubits than those
needed to represent the entire system as one unit, thus reducing the noise in
the implementation on quantum hardware. We also calculate transition
probabilities of collective neutrino oscillations using a Trotterization method
which is simplified before subsequent implementation on hardware. These
calculations demonstrate that energy eigenvalues of a collective neutrino
system and collective neutrino oscillations can both be computed on quantum
hardware with certain simplification to within good agreement with exact
results.
Kübra Yeter-Aydeniz Shikha Bangar George Siopsis Raphael C. Pooser