Quantum Information and Many Body Quantum Systems

In the last years a growing attention has been dedicated to many body quantum systems from the point of view of quantum information. Indeed, the need of understanding the characteristics of a realistic quantum information device leads necessarily to the study of many body quantum systems. This book gives a selection of current research topics in the field of quantum information for many body quantum systems together with open problems.

First book in this area

New paradigm of performing quantum information tasks, such as quantum information transfer, quantum cloning and others, without direct control of the whole quantum system but using our knowledge of it has increased the need of tools to understand in details the behaviour of many body quantum system as we find them in nature

New goals of the quantum information community lead to an unavoidable exchange of knowledge with other communities that already have the know-how and the insight to address such problems; for example the condensed matter, computational physics or quantum chaos communities

Applying known techniques and developing new ones from a quantum information perspective have already produced fast and unexpected developments in these fields

Inhalt

Preface.- Entanglement percolation in quantum networks.- Classical simulation of strongly correlated systems.- Quantum information and many body theory.- Electronic Hong-Ou-Mandel interferometer for multi-mode entanglement detection.- Energy, entanglement, and information transfer in many body systems.- Infinite spin chains and algebras.- New results on MPS.- A quantum approach to classical statistical mechanics.- Atom-light teleportation.- Lieb Robinson bounds in quantum spin systems and application to quantum information theory.- A metric approach to phase transitions.