Gaussian states and operations -- a quick reference

Understand

Gaussian quantum states of bosonic systems are an important class of states.

• In particular, they play a key role in quantum optics as all processes generated by Hamiltonians up to second order in the field operators (i.e.
• linear optics and quadrature squeezing) preserve Gaussianity.
• A powerful approach to calculations and analysis of Gaussian states is using phase-space variables and symplectic transformations.