By Marco Tomamichel
This e-book presents the reader with the mathematical framework required to totally discover the possibility of small quantum details processing units. As decoherence will proceed to restrict their dimension, it's necessary to grasp the conceptual instruments which make such investigations possible.
A powerful emphasis is given to details measures which are crucial for the examine of units of finite dimension, together with Rényi entropies and gentle entropies. The presentation is self-contained and comprises rigorous and concise proofs of an important 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 middle of data conception. the graceful entropy framework is mentioned subsequent and offers a typical potential to boost many arguments from info conception to the quantum setting.
Finally chosen purposes of the speculation to statistical data and cryptography are discussed.
The booklet is geared toward graduate scholars in Physics and knowledge thought. Mathematical fluency is important, yet no earlier wisdom of quantum conception is required.