Information and the second law of thermodynamics

The second law of classical thermodynamics, based on the positivity of the entropy production, only holds for deterministic processes. Therefore, the Second Law in quantum thermodynamics, which is a stochastic thermodynamics and contains quantum correlations, may not hold. By making a fundamental connection between thermodynamics and information theory we will introduce a new way of defining the Second Law which holds for both classical and quantum thermodynamics. Our work [1] incorporates information well into the Second Law and also provide a thermodynamic operational meaning for negative and positive entropy production.