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The structure of quantum theory permits interference of indistinguishable paths. At the same time, however, it also limits such interference to certain orders and any higher-order interference is prohibited. This thesis develops and studies concepts to test quantum theory with higher-order interference using many-particle correlations, the latter being generally richer and typically more subtle than single-particle correlations. It is demonstrated that quantum theory in general allows for interference up to order 2M in M-particle correlations. Depending on the mutual coherence of the particles, however, the related interference hierarchy can terminate earlier. In this thesis, we show that mutually coherent particles can exhibit interference of the highest orders allowed. We further demonstrate that interference of mutually incoherent particles truncates already at order M+1, although interference of the latter is principally more multifaceted than their coherent counterpart. We introduce two families of many-particle Sorkin parameters, whose members are expected to be all zero when quantum mechanics holds. As proof of concept, we demonstrate the disparate vanishing of such higher-order interference terms as a function of coherence in experiments with mutually coherent and incoherent sources. Finally, we investigate the influence of exotic kinked or looped quantum paths, which are permitted by Feynman's path integral approach, in such setups.

Quantum mechanics. Quantumfield theory --- quantumfysica --- Quantum theory.

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This book highlights novel research work done on cold atom-based quantum networks. Given that one of the main challenges in building the quantum network is the limited entanglement distribution distance, this book presents some state-of-the-art experiments in tackling this challenge and, for the first time, establishes entanglement between quantum memories via metropolitan-scale fiber transmission. This achievement is accomplished by cooperating high-efficiency cold quantum memories, low-loss quantum frequency conversion modules, and long-fiber phase-locking techniques. In the book, the scheme design, experimental setup, data analyses, and numerous technical details are given. Therefore, it suits a broad readership that includes all students, researchers, and technicians who work in quantum information sciences.

Quantum mechanics. Quantumfield theory --- quantumfysica --- Quantum computing. --- Quantum entanglement.

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This book focuses on recent topics of quantum science in both physics and chemistry. Until now, quantum science has not been fully discussed from the interdisciplinary vantage points of both physics and chemistry. This book, however, is written not only for theoretical physicists and chemists, but also for experimentalists in the fields of physical chemistry and condensed matter physics, as collaboration and interplay between construction of quantum theory, and experimentation has become more important. Tips for starting new types of research projects will be found in an understanding of cutting-edge quantum science. In Part I, quantum electronic structures are explained in cases of strongly correlated copper oxides and heavy elements. In Part II, quantum molecular dynamics is investigated by computational approaches and molecular beam experiments. In Part III, after lithium problem in big bang nucleosynthesis scenario is considered using supersymmetric standard model, quantum theories in atomic and molecular systems are reviewed. Finally, in Part IV, the development of quantum computational method is introduced. .

Quantum mechanics. Quantumfield theory --- Experimental nuclear and elementary particle physics --- Nuclear physics --- quantumfysica --- atoomfysica --- Quantum theory.

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Generalized probabilistic theories (GPTs) allow us to write quantum theory in a purely operational language and enable us to formulate other, vastly different theories. As it turns out, there is no canonical way to integrate the notion of subsystems within the framework of convex operational theories. Sections can be seen as generalization of subsystems and describe situations where not all possible observables can be implemented. Jonathan Steinberg discusses the mathematical foundations of GPTs using the language of Archimedean order unit spaces and investigates the algebraic nature of sections. This includes an analysis of the category theoretic structure and the transformation properties of the state space. Since the Hilbert space formulation of quantum mechanics uses tensor products to describe subsystems, he shows how one can interpret the tensor product as a special type of a section. In addition he applies this concept to quantum theory and compares it with the formulation in the algebraic approach. Afterwards he gives a complete characterization of low dimensional sections of arbitrary quantum systems using the theory of matrix pencils. About the author Jonathan Steinberg studied physics and mathematics at the university of Siegen and obtained his M. Sc. in the field of quantum foundations. Currently he investigates the relation between tensor eigenvalues and the quantification of multipartite entanglement under the tutelage of Prof. Otfried Gühne.

Quantum mechanics. Quantumfield theory --- Computer. Automation --- quantumfysica --- quantumcomputers --- Quantum theory --- Probabilities. --- Mathematics.

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A New-Generation Density Functional: Towards Chemical Accuracy for Chemistry of Main Group Elements covers the most recent progress in the development of a new generation of density functional theory (DFT) for accurate descriptions of thermochemistry, thermochemical kinetics, and nonbonded interactions of main group molecules. In this book, the authors present the doubly hybrid density functionals (DHDFs), which dramatically improve the accuracy for predictions of critical properties by including the role of the virtual (unoccupied) orbitals. The authors not only discuss the theoretical bases of three classes of DHDFs but also demonstrate their performance using some well-established benchmarking data sets.

Quantum mechanics. Quantumfield theory --- Chemistry --- Biology --- Computer. Automation --- quantumfysica --- quantumtheorie --- biologie --- chemie --- informatica --- wiskunde --- ingenieurswetenschappen --- moleculaire biologie --- Density functionals.