Comment on 'Entanglement and the Thermodynamic Arrow of Time' and Correct Reply on 'Comment on 'Quantum Solution to the Arrow-of-Time Dilemma'' of David Jennings and Terry Rudolph

摘要

Recently David Jennings and Terry Rudolph published two papers as reaction onMaccone's paper "Quantum Solution to the Arrow-of-Time Dilemma". In thesepapers, the authors suppose that second law of thermodynamics is not relevantfor quantum systems. Unfortunately, these papers did not get relevant replyfrom Maccone. The reason of this is following. Both Maccone and theabove-mentioned authors use thermodynamic law and thermodynamic-liketerminology for non-thermodynamic systems, for example, microscopic system ofthree qubits. However, big size of a system (quantum or classic) is also not anenough condition for a system to be macroscopic. The macroscopic system mustalso be chaotic and has small chaotic interaction with its environment/observerresulting in decoherence (decorrelation). We demonstrate that for relevantthermodynamic macroscopic quantum systems no objection appears.