Strong converse, reliability, and adaptive simulation behavior

Establish the strong-converse thresholds and reliability functions for the unassisted classical communication and parallel LOCC simulation tasks studied for qubit-to-qubit channels, and determine whether the parallel simulation conclusions extend to simulation against adaptive tests.

Background

The paper establishes vanishing-error results for unassisted classical communication and parallel LOCC simulation. Its finite-block Holevo deficit identity does not itself provide a strong converse for codes with nonvanishing error, and the simulation model approximates tensor-power channels in diamond norm without adaptive interleaving of channel uses.

The discussion explicitly identifies strong-converse thresholds, reliability functions, and adaptive-test simulation as unresolved. These questions seek performance characterizations beyond the asymptotic vanishing-error and nonadaptive parallel settings addressed by the paper.