Open Problems in Interplay between QM & 2nd Law of Thermodynamics?

Geremia
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What are some open problems in the interplay between Quantum Mechanics and the 2nd Law of Thermodynamics?

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I don't know any.
 
2nd law can be proved just fine via statistical physics, both in classical and quantum mechanics. For the latter you use thermal ensemble density matrices as states and the Liouville equation as their time evolution equation. In both cases (classical and qm) the entropy is a property of the macroscopic ensemble description of a physical system and behaves at it should.
 
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Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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