Yes, the devices of the modern world are products of human ingenuity which discovered and applied quantum mechanics.
First you say, “heat is a transfer of energy”. That is not correct. Heat is the internal energy of a system. Heat energy can be transferred, but it is not itself a transfer of energy.
I never mentioned, “heat, or energy moving from a high entropy state to a lower entropy state.” You just made that up or are confused. That sentence makes no physical sense. Only a system (of matter for example) can exhibit entropy. Energy does not exhibit entropy and therefore cannot be in, or move from, a high or low entropy state. In thermodynamic equations entropy and energy are quite different concepts. You don't seem to have a good grasp of the thermodynamic concepts and variables.
“Laugh out loud”? That is not a very good defense of the science involved. Note that the caption at the lower left corner of the Georgia State U diagram reads, “Spontaneous flow of heat from a cold area to a hot area would constitute a perfect refrigerator, forbidden by the second law.” They did refer to heat, and did refer to energy.
I think what is confusing you is that heat is always energy, but energy is not always heat. For example a photon has energy, but the concept of heat, a hot or cold photon, makes no sense in a photon.
