  Recently David Jennings and Terry Rudolph published two papers as reaction on
Maccone's paper "Quantum Solution to the Arrow-of-Time Dilemma". In these
papers, the authors suppose that second law of thermodynamics is not relevant
for quantum systems. Unfortunately, these papers did not get relevant reply
from Maccone. The reason of this is following. Both Maccone and the
above-mentioned authors use thermodynamic law and thermodynamic-like
terminology for non-thermodynamic systems, for example, microscopic system of
three qubits. However, big size of a system (quantum or classic) is also not an
enough condition for a system to be macroscopic. The macroscopic system must
also be chaotic and has small chaotic interaction with its environment/observer
resulting in decoherence (decorrelation). We demonstrate that for relevant
thermodynamic macroscopic quantum systems no objection appears.
