Created by acclaimed British choreographer Christopher Wheeldon for the Royal Ballet, the story is a modern take on the Lewis Carroll classic.
Wheeldon said he had taken some liberties with the story and used new technology in theatre, projection and puppetry to tell it.
"The look of it is unlike any Alice you've ever seen before," he said.
Alice herself has also changed.
"She's feisty. She's inquisitive. She's more of a young woman actually, our Alice," Mr Wheeldon said.