Corrections to “Second-Order Asymptotics for Source Coding, Dense Coding, and Pure-State Entanglement Conversions”

In this correspondence, we correct a few errors in the proofs of intermediate results in
[1]
that were encountered during the preparation of the PhD thesis of the second author. We address these errors in their order of appearance. Equation numbers preceded by a ‘C’ refer to equations in this correspondence. All other equation numbers, as well as theorem numbers, refer to the corresponding equations and theorems in the paper
[1]
.