For the Apple-Spiced Simple Syrup: Place all ingredients in small saucepan. Bring to boil. (Leftover simple syrup can be strained into airtight container, cooled and refrigerated. It will stay fresh for up to 2 weeks.)
Add 1/2 ounce of simple syrup, the vodka, lime juice and bitters in a cocktail shaker. Add ice and shake well. Strain into chilled coupe glass and garnish with apple.