Rinse and halve the pepper. Remove the seeds and membranes and coarsely dice. Rinse the tomatoes, remove the cores, and coarsely chop. Process the tomatoes and pepper through a juicer.
Mix the paprika and olive oil into the juice. Season to taste with salt, cayenne pepper, and lemon juice. Pour into a cold glass, garnish with the ground szechuan peppercorn, and serve.