You will have to contact a specialist pet relocator to get a restricted breed permit. It is not a huge problem with their guidance. The only two problems you may encounter is finding food that is suitable (you can get Royal Canin and Eukanuba only) and, a big problem is theft. these dogs are highly desired and you will have to make sure your garden is secure. Contact Qatar Pet relocators or Doha Vets for the permit and also pm Chelsea on Qatar Living for info, she knows everything you need to know about this. Remember that they must also be up to date with all their vaccinations and rabies must have been done 3 months before travel. Do not attempt to clear Customs without a relocator, my experience was that they prefer to deal with the professionals. That said, don't be put off, it sounds stressful but people bring their dogs in all the time.
Check with Chelsea about entry requirements, I used to work in a vet clinic here but the rule may have changed since I left a year ago. All the best. JJ