To make a jalapeno simple syrup, combine the water and sugar in a small saucepan and stir over medium heat until sugar has dissolved. Add jalapeno halves and increase the heat to bring to a boil. Reduce the heat and let the mixture simmer for 5-7 minutes or until the jalapeno turns a khaki green color. Remove from the heat and let cool.
Strain the syrup to remove the pepper and any seeds. (Can be stored in an airtight container for up to 2 weeks.)