Yin and yang speak to duality, or the thought that two inverse characteristics can exist in concordance and complement each other. It's the same thought behind cites like, "there can be no light without darkness." Yin (the black section) and yang (the white portion) each speak to different qualities.
Wearing a yin yang bracelet is therefore a symbol of harmony and balance. Yin & Yang bracelets represent the two parts of a single whole and cannot exist without each other. It is therefore a very good idea for a bracelet for couples.