He kidnaps Alice and got Alice stuck in Wonderland. He loves her and Alice does not.
Peter's role in the Country of Hearts is to be the Prime Minister. He is the representative of the Castle of Hearts while Queen Vivaldi is the figurehead. He is also the first one to love Alice.
He is created by Quin Rose and illustrated by Soumei Hoshino. Although he does not have notes regarding any inspirations used by the author to create him, it is assumed that he is loosely based off of Lewis Carrol's character, White Rabbit. However, it is only his name and his other appearances that match the White Rabbit from Alice in Wonderland. Peter White's personality is quite different from his counterpart.
Peter is obsessed with cleanliness, and he often resorts to using his guns to solve his problems. For example, Peter will almost always engage in violence with Ace and Boris when they put their "dirty hands" on Alice. He is also shown to be quite powerful and ruthless. Example of this would be when Queen Vivaldi states that she cannot threaten to decapitate Peter because he will just slaughter the servants and the executioner.
Peter loves Alice to the extent where he will do anything to get Alice to spend time with him or stay at the Castle of Hearts because he always wants her near him. Peter also has the ability to change into a "rabbit form" which Alice finds very cute. Knowing that Alice has a fetish for cute things, Peter begs Alice to let him sleep with her in the Castle of Hearts. Alice lets him on the condition that Peter stays in his rabbit form. However, that advantage has its limits because it is later shown that while Alice finds the form adorable, others do not. When Ace sees Peter in that form, he easily takes care of it and can reason with Alice to not be deceived.
He is expert marksman and can change objects into weapons.
Alice in the Country of Hearts: Wonderful Wonder World
This is the movie based on the Alice in the Country of Hearts otome games.