The aim of this course is for the student to acquire the basic fundamentals of quantum communications mechanisms as well as to introduce the most common procedures in practice for the application of quantum optics in communications. In order to achieve these objectives, the student must acquire a series of knowledge and skills. In terms of knowledge, at the end of the course the student will be able to: # Understand the basis of electromagnetic wave propagation and know the parameters that describe this propagation. # Understand the non-classical states of light. # Understand the fundamental role played by non-classical states of light in quantum communications. # Understand a quantum communications link. # Compare a quantum communications link with its classical counterpart. # To understand the role of the different elements involved in a radio link in order to be able to evaluate them. In terms of capabilities, these can be classified into two groups, one of specific capabilities and the other of more generic capabilities or skills. As for the specific capacities, at the end of the course the student will be able to: ¿ Understand the meaning of the parameters that characterise the propagation of electromagnetic waves in a homogeneous medium or by physical support. Interpret the parameters of a quantum communications link. Classify the different elements necessary in quantum communications. Analyse what happens with regard to the performance of a quantum communications link compared to a classical one. Feasibility and practical implementation of a quantum communications link.

1. Quantum Communications Classical and Quantum Communications Systems Scenarios of Classical Optical Communications Poisson Processes Optical Detection: Semiclassical Model Simplified Theory of Photon Counting and Implementation 2. Quantum Decision Theory: Analysis and Optimization Analysis of a Quantum Communications System Binary Optimization with Pure States State and Measurement Matrices with Pure States Holevo¿s Theorem Kennedy¿s Theorem The Geometrically Uniform Symmetry (GUS) 3. Quantum Decision Theory: Suboptimization Square Root Measurements (SRM) Performance Evaluation with the SRM Decision SRM with Mixed States SRM with Geometrically Uniform States (GUS) SRM with Mixed States Having the GUS Quantum Compression with SRM 4. Quantum Communications Systems Theory of Classical Optical Systems Quantum Decision with Pure States Quantum Binary Communications Systems Quantum Systems with OOK Modulation Quantum Systems with BPSK Modulation Quantum Systems with QAM Modulation Quantum Systems with PSK Modulation Quantum Systems with PPM Modulation Overview of Squeezed States Quantum Communications with Squeezed States

The following activities will be combined as described in the detailed program of the course: 1- Theory lectures in the blackboard and with slides. Resolution of small exercises 2- Problems 3- Labs (four labs in computer room and experimental laboratories) 4- Office hours 5- Proposed exercises with solutions will be published in each chapter for self-studying.