Quantum Information and Many Body Quantum Systems

Atanu Rajak

芳史 中田

Marie Ericsson, Simone Montangero

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.

Remigiusz Augusiak, Fernando Cucchietti, Maciej Lewenstein

Gabriele De Chiara, Anna Sanpera

Quantum information theory has considerably helped in the understanding of quantum many-body systems. The role of quantum correlations and in particular, bipartite entanglement, has become crucial to characterise, classify and simulate quantum many body systems. Furthermore, the scaling of entanglement has inspired modifications to numerical techniques for the simulation of many-body systems leading to the, now established, area of tensor networks. However, the notions and methods brought by quantum information do not end with bipartite entanglement. There are other forms of correlations embedded in the ground, excited and thermal states of quantum many-body systems that also need to be explored and might be utilised as potential resources for quantum technologies. The aim of this work is to review the most recent developments regarding correlations in quantum many-body systems focussing on multipartite entanglement, quantum nonlocality, quantum discord, mutual information but also other non classical measures of correlations based on quantum coherence. Moreover, we also discuss applications of quantum metrology in quantum many-body systems.