Title: Generalized Clausius inequality, error tolerant memory and the quantum null energy condition

Speaker: Prof. Ayan Mukhopadhyay, IIT Madras

Abstract: Quantum thermodynamics generalizes Clausius inequality stating that the irreversible entropy production is not only positive, but also has both a lower and an upper bound for a given physical process. We show that the study of the quantum null energy condition in holographic quenches gives explicit upper and lower bounds for the irreversible entropy production and also entanglement growth in two dimensional systems. We also apply these methods to obtain a refined version of Landauer principle, in which we compute the minimum irreversible entropy production needed to delete encoded quantum information, and obtain analytic results for a large number of encoding qubits. We find that, for certain forms of encoding, fast deletion is impossible if the encoded bits are squeezed over a sufficiently small length scale. This circumvents no-go theorems based on stabilizer codes.