Performance numbers produced by AMD internal testing show the performance benefits of Vulkan versus OpenGL implementation:
Up to 27% faster performance at 1920×1080 using Radeon Software 16.7.1 and DOOM Vulkan on Radeon™ RX480 than with Radeon Software 16.7.1 and DOOM OpenGL.1
Up to 23% faster performance at 2560×1440 using Radeon Software 16.7.1 and DOOM Vulkan on Radeon™ RX480 than with Radeon Software 16.7.1 and DOOM OpenGL.2
Disclaimer:
1. Testing conducted by AMD Performance Labs as of July 6th, 2016 on the AMD Radeon™ RX 480, on a test system comprising Intel i7 5960X CPU, 16GB DDR4-2666 Mhz system memory, Radeon Software Crimson Edition driver 16.7.1 and Windows 10 x64 using the game DOOM on the ultra preset. PC manufacturers may vary configurations, yielding different results. At 1920×1080, Radeon Software Crimson Edition 16.7.1 running DOOM OpenGL scored 106.40 and Radeon Software Crimson Edition 16.7.1 running DOOM Vulkan scored 135.65 on AMD Radeon™ RX 480, which is 27.5% faster performance. Performance may vary based on use of latest drivers. Test results are not average and may vary. RS-43
2. Testing conducted by AMD Performance Labs as of July 6th, 2016 on the AMD Radeon™ RX 480, on a test system comprising Intel i7 5960X CPU, 16GB DDR4-2666 Mhz system memory, Radeon Software Crimson Edition driver 16.7.1 and Windows 10 x64 using the game DOOM on the ultra preset. PC manufacturers may vary configurations, yielding different results. At 2560×1440, Radeon Software Crimson Edition 16.7.1 running DOOM OpenGL scored 68.51 and Radeon Software Crimson Edition 16.7.1 running DOOM Vulkan scored 84.34 on AMD Radeon™ RX 480, which is 23.1% faster performance. Performance may vary based on use of latest drivers. Test results are not average and may vary. RS-44
Source for the above: http://radeon.com/doom-vulkan/
Video from WCCFtechTv: Radeon RX 480 DOOM Vulkan vs OpenGL