Over the last few years, virtualization has become an essential tool for increasing security and dependability in computing systems. At the same time, GPUs have been finding their way into general purpose computing, where they can deliver unprecedented performance for certain classes of applications. However, present-day GPUs have proven hard to integrate into virtualized environments. Current virtualization stacks supporting GPUs either require exclusive access to the GPU or introduce considerable processing overhead -- up to 21~\% in case of the best previous solution (vCUDA). In my talk, I will present LoGV, a novel approach to virtualizing GPUs. LoGV enables secure sharing of GPUs between VMs as well as VM migration by leveraging protection mechanisms already present in modern GPU hardware. LoGV allocates resources securely in the hypervisor, which then grants guest VMs direct access to these resources, relying on GPU hardware features to guarantee mutual protection between VMs. Experiments with our prototype have shown an overhead of less than 4% compared to native execution.