Work Extraction from Classically Correlated States in Noisy Quantum Channels with Memory

Abstract: This study investigates the potential of local non-unital noise and quantum channel memory to enhance work extraction from classically correlated quantum states. Utilizing the framework of daemonic ergotropy, which incorporates measurement-based feedback via an ancillary system, we show that amplitude damping channels can induce quantum correlations that enable additional extractable work. Through analytical derivations and numerical simulations, we quantify the daemonic gain and demonstrate that channel memory significantly amplifies this advantage by preserving system-ancilla correlations. Our results reveal that non-unital noise can serve not as a limitation but as a valuable thermodynamic resource in quantum protocols.