Abstract for Talk 2:

Quantum platforms like circuit QED devices can utilize harmonic oscillator modes, instead of qubits, to store and process information. This talk highlights a framework to simulate anharmonic vibrational dynamics on these bosonic quantum devices. We leverage Lie algebraic properties of bosonic operators to decompose the vibrational Hamiltonian into solvable fragments. These fragments are constructed such that they can be easily exponentiated for Hamiltonian simulation using gates available on current bosonic devices. The approach is tested using a simulation of tunneling dynamics in a model two-dimensional double-well potential and calculations of vibrational eigenenergies for small molecules.