Quantifying memory capacity as a quantum thermodynamic resource (Phys. Rev. Lett. 122, 060601)

The Szilard Engine presented the iconic example that related information theory and thermodynamics. In this engine, it was shown that when a demon is supplied with a 'blank tape' to record information, he could use it as a resource to do work. Here, we looked at what happens to such a demon when he is given a general quantum state in some general energy landscape. This motivated the idea of 'thermal information capacity', capturing how good each state is at storing information when limited to operations that do require additional sources of free-energy.