Computational resources and validation of a three-mode non-Gaussian hamiltonian

Abstract: This seminar will focus on a specific three-mode non-Gaussian trilinear hamiltonian which has been recently realized in superconducting platforms[Sandbo-Chang et al. PRX 10, 011011 (2020), Jarvis-Frain et al. ArXiv 2510.05405 (2025)].
This hamiltonian is of great interest because, besides being non-Gaussian and therefore enabling universal quantum computation, it represents the most natural three-mode generalization of the two-mode squeezing hamiltonian, a key workhorse in quantum optics.
Therefore, this seminar will present a comprehensive theoretical analysis of the computational resources generated by this hamiltonian, such as Wigner negativity and entanglement, and its capability to generate non-local correlations.
A strategy to efficiently detect these properties on superconducting platforms via displaced-parity measurement will be presented.
Building on this resource-based characterization, a fast and reliable protocol for the experimental validation of this hamiltonian, based on the measurement of nullifiers and stabilizers, which avoids the need for full Wigner-function tomography will be introduced.