Introduction to Quantum Dynamics with a Classical Mechanical Flavor

Sara Bonella, Giovanni Ciccotti

Diptarka Das

The dynamics of a particle under damping could be generally derived by reappraisal of the relativistic aspects in the variational analysis of Lagrangian mechanics. The radiation damping force covariantly obtained from the general result is free from the shortcomings usually encountered in electrodynamics. The force characteristically evolves in a dynamic tetrad space having one base vector distinguishably non-local attributing to the matter-wave property in quantum mechanics. The meaning of the classically formulated world path with the quantum flavor is revealed.

Francesco Turro, Ivan A. Chernyshev, Ramya Bhaskar +1 more

We explore the utility of qutrits and qubits for simulating the flavor dynamics of dense neutrino systems. The evolution of such systems impacts some important astrophysical processes, such as core-collapse supernovae and the nucleosynthesis of heavy nuclei. Many-body simulations require classical resources beyond current computing capabilities for physically relevant system sizes. Quantum computers are therefore a promising candidate to efficiently simulate the many-body dynamics of collective neutrino oscillations. Previous quantum simulation efforts have primarily focused on properties of the two-flavor approximation due to their direct mapping to qubits. Here, we present new quantum circuits for simulating three-flavor neutrino systems on qutrit- and qubit-based platforms, and demonstrate their feasibility by simulating systems of two, four, and eight neutrinos on IBM and Quantinuum quantum computers.

Maciej Zworski

Walter Dittrich, Martin Reuter