By Marco Tomamichel
This publication presents the reader with the mathematical framework required to totally discover the potential for small quantum info processing units. As decoherence will proceed to restrict their measurement, it's necessary to grasp the conceptual instruments which make such investigations possible.
A robust emphasis is given to info measures which are crucial for the learn of units of finite measurement, together with Rényi entropies and gentle entropies. The presentation is self-contained and comprises rigorous and concise proofs of crucial houses of those measures. the 1st chapters will introduce the formalism of quantum mechanics, with specific emphasis on norms and metrics for quantum states. this can be essential to discover quantum generalizations of Rényi divergence and conditional entropy, info measures that lie on the center of data idea. the sleek entropy framework is mentioned subsequent and offers a common ability to boost many arguments from info idea to the quantum setting.
Finally chosen purposes of the idea to stats and cryptography are discussed.
The e-book is aimed toward graduate scholars in Physics and data thought. Mathematical fluency is important, yet no earlier wisdom of quantum idea is required.