I am on 16.04 with an Nvidia 760GTX which should be supported by vulkan.
I installed libvulkan-dev added this ppa https://launchpad.net/~canonical-x/+archive/ubuntu/vulkan
I also installed vulkan-utils mesa-vulkan-drivers
There should be a package called nvidia-graphics-drivers-364 in there but I only see nvidia-364 and nvidia 364-dev. I chose to install nvidia-364.
When I try to run vulkaninfo I get
/build/vulkan-1P8eOh/vulkan-1.0.8.0+dfsg1/demos/vulkaninfo.c:1156: failed with VK_ERROR_INITIALIZATION_FAILED
at the end
I also tried to install https://developer.nvidia.com/vulkan-driver but I get a distribution script failed error and the driver doesn't work.