arXiv:2409.12759 · Physical Review A
Informational nonequilibrium concentration
Chung-Yun Hsieh, Benjamin Stratton, Hao‐Cheng Weng, Valerio Scarani
Abstract
Informational contributions to thermodynamics can be studied in isolation by considering systems with fully degenerate Hamiltonians. In this regime, being in nonequilibrium (termed ) provides thermodynamic resources, such as extractable work, from the information content. The usefulness of informational nonequilibrium creates an incentive to obtain more of it, motivating the question of how to : can we increase the local informational nonequilibrium of a product state ρ ⊗ ρ under a global closed system (unitary) evolution? We fully solve this problem analytically, showing that it is for two-qubits, and it is always possible to find states achieving this in higher dimensions. Specifically for two-qutrits, we find that there is a single unitary achieving optimal concentration for state, for which we uncover a . We further discuss the notion of in this framework, initial global correlations' ability to concentration, and applications to concentrating purity and intrinsic randomness.