cosh|ξ|-e iϕ sinh|ξ| , and ⟨q c ⟩ α and ⟨p c ⟩ α are the same expectation values as the corresponding coherent state with a displacement of α. While this representation can be difficult to parse at a first glance, additional intuitive insight is gained by looking at the distribution of SCS states in phase space as shown in Fig. (ii). As the SCS name implies, Ŝ(ξ) "squeezes" the probability distribution of the state in phase space. Instead of equal uncertainties in X 1 and X 2 , now the distribution takes an elliptical form and is squeezed exponentially by |ξ| in a given direction. Additionally, the axes of this ellipse are rotated by the angle θ (not to be confused with the incident angle in Fig. ) such that the uncertainties are now squeezed in the Y 1 and Y 2 directions. This creates a more general class of minimal uncertainty states that redistribute the uncertainty across different pairs of observables (position and momentum, photon number and phase, etc.).