This is a lovely, smooth and refreshing drink. You can purchase expensive Pomegranate Martini mixes, but there's no need to do that. Make your own, store in the refrigerator and you can enjoy these anytime.
Make a "simple syrup" of 8 oz. water and 8 oz. sugar. Heat in a small saucepan until sugar melts and let cool. Mix with 24 oz. POM Pomegranate Juice and store in the refrigerator.
To make the martini:
Mix equal parts of your favorite vodka and Pom mix (1.25 oz. is standard bar portion size) in a cocktail shaker with ice. Shake and strain into a martini glass.