Distinguishing Random and Black Hole Microstates
Distinguishing Random and Black Hole Microstates
In this work, we study the distinguishability of random states drawn from the Wishart ensemble as well as black hole microstates. We compute the relative entropy and many generalizations, including the Petz Rényi relative entropy, sandwiched Rényi relative entropy, fidelities, and trace distances. These generalized quantities are able to teach …