No it won't work, not without an updated module.
In order for companies like Quantaray (it's actually rebadged Sigma) to produce flash guns cheaply, they've separated the flash from the electronics that interface with the camera. This separated component is what I am referring to when I say an updated "module." Along with producing a standard flashgun that works with a variety of camera systems, Sigma is able to update the electronics as Canon changes them. Canon's E-TTL system is proprietary and as such, Sigma has to reverse engineer the flash interface).
Canon has updated their flash hotshoe interface so it is no longer compatible with older thirdparty flashguns. In order to make use of your flash, you will either need to use it in manual mode with a off-camera flash cord, or find an updated flash module (when I last checked this wasn't easy to find). I have the same exact problem with the Sigma DG500 Super and my 5D Mark II. My 5d2 cannot trigger the Sigma as is. I will have to send it to Sigma and have it rechipped