Legend of the Wandering King by Laura Gallego Garcia

From chapters.ca: The most dangerous magical object in the history of the world waits quietly in the treasury of a decaying Arabian palace. It knows your name and home and history and fate: it knows the past and future of the entire human race. It is a carpet, an impossible, dazzling carpet, and though a glance at it can drive a man mad, many will risk their lives to look into its pattern and discover their destinies.