Landauer Versus Nernst: What is the True Cost of Cooling a Quantum System?

Thermodynamics connects our knowledge of the world to capability manipulate and thus control it. This crucial role is exemplified by third law thermodynamics, Nernst's unattainability principle, which states that infinite resources are required cool a system absolute zero temperature. But what these how should they be utilized? And does this relate Landauer's principle famously information thermodynamics? We answer questions providing framework for identifying enable creation pure quantum states. show perfect cooling possible with Landauer energy cost given time or complexity. However, such optimal protocols require complex unitaries generated an external work source. Restricting can run solely via heat engine, we derive novel Carnot-Landauer limit, along its saturation. generalizes fully thermodynamic setting, leading unification emphasizes importance in thermodynamics.