Gate-based quantum simulation of Gaussian bosonic circuits on exponentially many modes

Understand

We introduce a framework for simulating, on an $(n+1)$-qubit quantum computer, the action of a Gaussian Bosonic (GB) circuit on a state over $2^n$ modes.

• Specifically, we encode the initial bosonic state's expectation values over quadrature operators (and their covariance matrix) as an input qubit-state.
• This is then evolved by a quantum circuit that effectively implements the symplectic propagators induced by the GB gates.
• We find families of GB circuits and initial states leading to efficient quantum simulations.