Measure out the ingredients. Pour into a clean glass and mix. Garnish with lime.
For the syrup: Bring the Stevia and water to a boil over medium high heat. Add the sliced ginger and bring the mixture back up to a simmer. Remove from heat and allow to steep for at least 30 minutes. Strain syrup through fine mesh. Discard giner. Keep the syrup refrigerated in an airtight container.