Wash, clean and chop the strawberries. Mix with 2 tablespoons of sugar. Chill for about 1 hour. Grind the pistachios finely.
Stir curd, syrup, lime zest and juice until smooth. Whip the crème fraiche and 1 tbsp. sugar in a tall mixing bowl with the whisks of the mixer for 2-3 minutes. Fold into the quark. Divide the cream into small bowls.
Add strawberries and sprinkle with pistachios.