Paul Bettany and Rebecca Hall will also be seen in the sci-fi thriller, which is produced by Christopher Nolan.
Although plot details are being kept under wraps, Depp is said to star as an assassinated scientist, who has his brain uploaded on a computer, the Hollywood Reporter said.
Kate's sister Rooney Mara was reportedly first approached to play Depp's wife and fellow scientist, which ultimately went to Hall.
Mara is known for her role in TV series 'House of Cards'. She also featured in 'Shooter' and 'Deadfall'.
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