Preheat the oven to 425F.
In a medium bowl, mix the shrimp, cheese, red peppers, olives and jalapenos.
Lay out each tortilla and spread 1/4 of the mixture on only one side of each tortilla.
Fold the tortillas over and press gently to even out the filling in each.
Place the quesadillas on a baking sheet, brush each with 1/2 tsp olive oil and sprinkle with black pepper.
Bake the quesadillas at 425F until they are golden brown (about 6-8 minutes).
Remove from the oven and let each cool for a minute or two before serving.