The best I can find on it documentation-wise is this: https://hackage.haskell.org/package/vulkan-3.14.1/docs/Vulkan-Extensions-VK_AMD_display_native_hdr.html
and this: https://www.khronos.org/registry/vulkan/specs/1.2-extensions/man/html/VkHdrMetadataEXT.html
For linux support, wayland appears to be “working on it” but that’s likely to take years: https://gitlab.freedesktop.org/wayland/wayland-protocols/-/merge_requests/14
RedHat has said they’re prioritizing it for 2022, and Valve wants it for Proton, but we’ll see how that goes.
There does seem to be a workaround for Vulkan’s KMS-like mode:
Linux lacks support for HDR10 at the level of the display server (be it X.org or Wayland). Since the display server does not support HDR10, neither does the window system or the desktop environment. Although it is possible to bypass this HDR10-incompatible software stack under specific circumstances (e.g. in fullscreen using the Direct Display Mode feature of the open-source AMDVLK Vulkan drivers with a compatible AMD GPU)
EDIT: looks like nvidia proposed an extension to xorg for DeepColor back in 2017 but I can’t find anything about it more recent than the proposal: