Upper Bounds on Device-Independent Quantum Key Distribution Rates in Static and Dynamic Scenarios

In this work, we develop upper bounds on key rates for device-independent quantum distribution (DI-QKD) protocols and devices. We study the reduced $\mathrm{cc}$-squashed entanglement show that it is a convex functional. As result, hull of currently known tighter bound standard Clauser-Horne-Shimony-Holt (CHSH)-based protocol. further provide DI-QKD achievable by any protocol applied to CHSH-based device. This based relative entropy optimized over decompositions into local nonlocal parts. dynamical scenario channels, obtain private capacity protocols. depolarizing erasure channels limited secret dephasing channels.