When discussing the conceptual issues of quantum mechanics, concepts like Bell's inequality, non-locality, and the Kochen-Specker theorem are often brought up. Many physicists have dedicated time to understanding how to interpret these theorems and what they imply on the limitation of what we can know about reality.
However, I've noticed that much less attention has been given to exploring the connection between the foundation of quantum theory and the laws of thermodynamics, especially the second and third laws.
Both theories impose strict limitations on what can be done and observed in our "reality," yet I haven't come across much work attempting to reconcile the two or utilize ideas from one theory in the other. While it's true that the development of these theories occurred in distinct contexts (microscopic physics and light-matter interactions for quantum mechanics, macroscopic bodies and many-body systems for thermodynamics), similar to the relationship between quantum mechanics and general relativity, there might be a physical level/scale in which the two theory might encounter and be incompatible, or partially compatible, or maybe even one can sustain the other. I’m particularly thinking of the the so-called measurement problem in quantum mechanics: a quantum theory expressed in the language of thermodynamics could naturally translate the second and third laws into the quantum realm and explain and constraint the non-linear axiom of quantum theory, i.e. the measurement update rule. Of course, all this makes sense unless one views these two theories as merely effective theories.
Are there any references available that address the problem of reconciling quantum mechanics with thermodynamics in the terms I have posed here? I believe this question is crucial for understanding the foundation of quantum mechanics and addressing the measurement problem. Perhaps a quantum theory expressed in the language of thermodynamics could naturally incorporate the second and third laws, leading to a resolution of this issue. Furthermore, this line of inquiry holds significance for practical applications such as quantum computing and other scalable systems that approach the thermodynamic limit.
Another question, more related to the foundation of quantum mechanics, is whether any work has been done on connecting quantum thermodynamics more directly with notion of non-locality, i.e. Bell scenario, Bell's inequalities or contextual inequalities.