Thermal Operations in general are not memoryless

Understand

So-called Thermal Operations seem to describe the most fundamental and reasonable set of operations allowable for state transformations at an ambient inverse temperature $\beta$.

• However, a priori, they require experimentalists to manipulate very complex environments and have control over their internal degrees of freedom.
• For this reason, the community has been working on creating more experimentally-friendly operations.
• In [Perry, et al., Phys.