An Introduction to the Formalism of Quantum Information with Continuous Variables

Carlos Navarrete-Benlloch (born 1983) was born and raised in Valencia, Spain, where he attended Universitat de Valencia for a six-year BSc+MSc degree in theoretical physics. During his studies, he became fascinated by several physical fields. One of these fields, which he later continued studying during his PhD, was quantum optics. Carlos completed his PhD degree in 2011 under the joint supervision of Eugenio Roldan and German J de Valcarcel, in the quantum and nonlinear optics group of the Universitat de Valencia, focusing on the quantum properties of multi-mode optical parametric oscillators. During his PhD studies, Carlos also maintained his interest in various other topics in quantum optics, which he had the opportunity to work on and become acquainted with during several long-term visits he made to other universities and research institutions. These included the Max-Planck Institute of Quantum Optics (MPQ) in Garching, Germany, where he worked under the supervision of J Ignacio Cirac; the Swinburne University of Technology in Melbourne, Australia, under the supervision of Peter D Drummond; and the Massachusetts Institute of Technology, USA, under the supervision of Jeffrey H Shapiro. After receiving his PhD, Carlos joined J Ignacio Cirac's theory division at MPQ as a postdoctoral researcher, including two years as the recipient of a postdoctoral research fellowship granted by the Alexander von Humboldt foundation. At MPQ, Carlos has mainly focused on dissipative quantum optics with nonlinear optical cavities, superconducting circuits, and optomechanical systems, as well as on quantum simulation with ultracold atoms, collaborating with several scientists inside and outside MPQ. In the field of quantum information with continuous variables, Carlos has contributed to the theory of non-Gaussian states and operations, as well as the characterization of the classical capacity of Gaussian channels, in collaboration with Raul Garcia-Patron, Nicolas J Cerf, Jeffrey H Shapiro, and Seth Lloyd. Apart from quantum optics and information, Carlos has studied and been interested in several other physical fields, such as gravitation, cosmology, quantum field theory, and particle physics. He has also studied modern guitar and is a founding member and composer of the Valencia-based progressive jazz band Versus Five.

Preface
Acknowledgments
Author's Biography
Quantum-mechanical description of physical systems
Bipartite systems and entanglements
Quantum operations
Quantum information with continuous variables
Bibliography