Thermodynamics of Speed and Efficiency with Quantum Feedback

arXiv:2611.08564v1 Announce Type: new Abstract: Rapid thermodynamic operations generally entail irreversible dissipation, giving rise to trade-offs between operating speed and thermodynamic cost. Yet, how quantum feedback fundamentally reshapes these trade-offs remains elusive. Here, we derive a finite-time current--dissipation relation for continuously monitored open quantum dynamics with jump feedback. From this fundamental relation, we establish a quantum speed limit and a power-efficiency trade-off for stationary information engines, identifying how feedback affects state transformations and the performance of engines through both informational entropy and direct dynamical contributions.