Mahou Shoujo Lyrical Nanoha ViVid

The series takes place four years after the events of Mahou Shoujo Lyrical Nanoha StrikerS, during which Nanoha Takamachi rescued and adopted a young girl named Vivio, who is the reincarnation of the Sankt Kaiser, Olivie Segbrecht. After entering her fourth year of elementary school, Vivio is given her own intelligence device, Sacred Heart, and gains the power to transform using her adult Sankt Kaiser mode. She soon comes across a girl named Einhart Stratos who, similar to Vivio, is the descendant of another Sankt Kaiser ruler, Claus G.S. Ingvalt. As Einhart becomes determined to prove her fighting style is the strongest, Vivio befriends her and, together with her friends, enters a martial arts tournament where they fight against various opponents and learn more about their past lives.

(Source: MU)

Included one-shot:
Volume 2: 5th Anniversary Collaboration Comic: Fate/stay night x Mahou Shoujo Lyrical Nanoha