AppendixA Notation

It outputsZ q such that its distribution is approximatelyq in the sense thatDTV[ q,q] 1/12. Figure 1: A visualization of an example of the generalized uniform noise channel which can be implementedefficiently. The black dot corresponds to the coefficientsy and the orange dots are realizations of the randomvariabley+U. While theapproach discussed inthemain textisstatistically and computationally efficient, itonly allows us to communicate samples from a simple uniform distribution. Another possibility to obtain Gaussian noise would be the following.