This textbook introduces the non-specialist reader to the concepts of quantum key distribution
and presents an overview of state-of-the-art quantum communication protocols and applications.
The field of quantum cryptography has advanced rapidly in the previous years not least because
with the age of quantum computing drawing closer traditional encryption methods are at risk.
The textbook presents the necessary mathematical tools without assuming much background making
it accessible to readers without experience in quantum information theory. In particular the
topic of classical and quantum entropies is presented in great detail. Furthermore the author
discusses the different types of quantum key distribution protocols and explains several tools
for proving the security of these protocols. In addition a number of applications of quantum
key distribution are discussed demonstrating its value to state-of-the-art cryptography and
communication. This book leads the reader through the mathematical background with a variety of
worked-out examples and exercises. It is primarily targeted at graduate students and advanced
undergraduates in theoretical physics. The presented material is largely self-contained and
only basic knowledge in quantum mechanics and linear algebra is required.