Lectures on General Quantum Correlations and their Applications

Felipe Fanchini is an Assistant Professor at the São Paulo State University in Brazil. Physicist with experience in the field of quantum information and computation, mainly studying open quantum systems and all forms of quantum correlations.Diogo de Oliveira Soares Pinto is an Assistant Professor at the São Carlos Institute of Physics, University of São Paulo in Brazil. His research interests are mainly in quantum information science. He has contributed to the characterization of quantum correlations in Nuclear Magnetic Resonance systems and in magnetic materials. His research further extends to information geometry, open system dynamics, and thermodynamics of nonequilibrium nanosystems.Gerardo Adesso is a Full Professor at the University of Nottingham in the United Kingdom. His research interests are mainly in the fundamental investigation of the border between classical and quantum world. He has contributed to the characterisation of all forms of quantum correlations and their operational applications to quantum technologies. His research further extends to quantum optics, condensed matter physics, and thermodynamics.

• 1)   Foundations of Quantum Discord.- Why should we care about quantum discord?.- From Discord to Entanglement.- Entanglement distribution and quantum discord.- Local Broadcasting of Quantum Correlations.- Quantum discord in quantum communication protocols.- Non-Classical correlations in information processing.- Discord, quantum knowledge and private communications.- Metrological measures of non-classical correlations.- Geometric measures of quantum correlations with Bures and Hellinger distances.- Quantum Correlations in Multipartite Quantum Systems.- Monogamy of quantum correlations - a review.- Quantum Discord and entropic measures of quantum correlations: Optimization and behavior in finite XY spin chains.- Measurement-induced nonlocality and quantum correlations under local operations.- The sudden change phenomenon of quantum discord.- Overview on the phenomenon of two-qubit entanglement revivals in classical environments.- The local detection method: Dynamical detection of quantum discord with local operations.- Frozen and Invariant Quantum Discord under Local Dephasing Noise.- Experimental investigation of the dynamics of quantum discord in optical systems.- Experimental investigation of quantum correlation in solid-state spin system.- Quantum Correlations in NMR systems.- NMR Contributions to the study of Quantum Correlations.- Quantum correlations and synchronization measures.- How does interference fall?