In large dish, combine olive oil, lemon juice, rosemary, garlic, smoked paprika, salt and pepper. Add the lamb chops and turn to coat in the marinade. Cover the dish with plastic wrap and let marinate for 30-60 minutes at room temperature.
Preheat oven to 375ºF (190 C). Line baking sheet with aluminum foil, place metal rack on top.
Place chops in a single layer on the rack.
Bake uncovered until cooked through, about 12-15 minutes or until the internal temperature reaches 140 F (60 C) for medium-well doneness. Broil under the broiler for the last 3-5 minutes to caramelise the tops if desired. Allow to rest for 5-10 minutes before serving.
Serve with herb butter, lemon wedges and/or a dollop of mint yogurt or chimichurri.