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Bipartite Quantum Interactions: Entangling And Information Processing Abilities, Siddhartha Das
Bipartite Quantum Interactions: Entangling And Information Processing Abilities, Siddhartha Das
LSU Doctoral Dissertations
The aim of this thesis is to advance the theory behind quantum information processing tasks, by deriving fundamental limits on bipartite quantum interactions and dynamics. A bipartite quantum interaction corresponds to an underlying Hamiltonian that governs the physical transformation of a two-body open quantum system. Under such an interaction, the physical transformation of a bipartite quantum system is considered in the presence of a bath, which may be inaccessible to an observer. The goal is to determine entangling abilities of such arbitrary bipartite quantum interactions. Doing so provides fundamental limitations on information processing tasks, including entanglement distillation and secret key …
Information Theoretic Study Of Gaussian Graphical Models And Their Applications, Ali Moharrer
Information Theoretic Study Of Gaussian Graphical Models And Their Applications, Ali Moharrer
LSU Doctoral Dissertations
In many problems we are dealing with characterizing a behavior of a complex stochastic system or its response to a set of particular inputs. Such problems span over several topics such as machine learning, complex networks, e.g., social or communication networks; biology, etc. Probabilistic graphical models (PGMs) are powerful tools that offer a compact modeling of complex systems. They are designed to capture the random behavior, i.e., the joint distribution of the system to the best possible accuracy. Our goal is to study certain algebraic and topological properties of a special class of graphical models, known as Gaussian graphs. First, …