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This book explores two of the most striking features of quantum theory – contextuality and nonlocality – using a formulation based on graph theory. Quantum theory provides a set of rules to predict probabilities of different outcomes in different experimental settings, and both contextuality and nonlocality play a fundamental role in interpreting the outcomes. In this work, the authors highlight how the graph approach can lead to a better understanding of this theory and its applications. After presenting basic definitions and explaining the non-contextuality hypothesis, the book describes contextuality scenarios using compatibility hypergraphs. It then introduces the exclusivity graph approach, which relates a number of important graph-theoretical concepts to contextuality. It also presents open problems such as the so-called Exclusivity Principle, as well as a selection of important topics, like sheaf-theoretical approach, hypergraph approach, and alternative proofs of contextuality.
Mathematics. --- Quantum computers. --- Graph theory. --- Quantum physics. --- Quantum Computing. --- Graph Theory. --- Quantum Physics. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Computers --- Math --- Science --- Extremal problems --- Quantum theory.
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This book explores two of the most striking features of quantum theory – contextuality and nonlocality – using a formulation based on graph theory. Quantum theory provides a set of rules to predict probabilities of different outcomes in different experimental settings, and both contextuality and nonlocality play a fundamental role in interpreting the outcomes. In this work, the authors highlight how the graph approach can lead to a better understanding of this theory and its applications. After presenting basic definitions and explaining the non-contextuality hypothesis, the book describes contextuality scenarios using compatibility hypergraphs. It then introduces the exclusivity graph approach, which relates a number of important graph-theoretical concepts to contextuality. It also presents open problems such as the so-called Exclusivity Principle, as well as a selection of important topics, like sheaf-theoretical approach, hypergraph approach, and alternative proofs of contextuality.
Statistical science --- Discrete mathematics --- Mathematical statistics --- Quantum mechanics. Quantumfield theory --- Computer. Automation --- grafieken --- quantumfysica --- quantumtheorie --- quantumcomputers --- statistiek
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This book presents a concise framework for assessing technical and sustainability impacts of existing biorefineries and provides a possible road map for development of novel biorefineries. It offers a detailed, integrated approach to evaluate the entire biomass production chain, from the agricultural feedstock production and transportation, to the industrial conversion and commercialization & use of products. The Brazilian sugarcane biorefinery is used as a case study; however, the methods and concepts can be applied to almost any biomass alternative. Chapters explore the main issues regarding biorefinery assessment, including feedstock production and transportation modeling, biofuels and green chemistry products, as well as assessment of sustainability impacts. This book is a valuable source of information to researchers in bioenergy, green chemistry and sustainability fields. It also provides a useful framework for government agencies, investors and the energy industry to evaluate and predict the success of current and future biorefinery alternatives.
Mechanical Engineering - General --- Chemical Engineering --- Mechanical Engineering --- Chemical & Materials Engineering --- Engineering & Applied Sciences --- Biomass energy. --- Sugarcane industry --- Environmental aspects. --- Bio-energy (Biomass energy) --- Bioenergy (Biomass energy) --- Biofuels --- Biological fuels --- Energy, Biomass --- Microbial energy conversion --- Energy. --- Renewable energy resources. --- Fossil fuels. --- Renewable energy sources. --- Alternate energy sources. --- Green energy industries. --- Fossil Fuels (incl. Carbon Capture). --- Renewable and Green Energy. --- Green energy industries --- Energy industries --- Alternate energy sources --- Alternative energy sources --- Energy sources, Renewable --- Sustainable energy sources --- Power resources --- Renewable natural resources --- Agriculture and energy --- Fossil energy --- Fuel --- Energy minerals --- Energy conversion --- Energy crops --- Microbial fuel cells --- Refuse as fuel --- Waste products as fuel --- Sugar trade
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This book presents a concise framework for assessing technical and sustainability impacts of existing biorefineries and provides a possible road map for development of novel biorefineries. It offers a detailed, integrated approach to evaluate the entire biomass production chain, from the agricultural feedstock production and transportation, to the industrial conversion and commercialization & use of products. The Brazilian sugarcane biorefinery is used as a case study; however, the methods and concepts can be applied to almost any biomass alternative. Chapters explore the main issues regarding biorefinery assessment, including feedstock production and transportation modeling, biofuels and green chemistry products, as well as assessment of sustainability impacts. This book is a valuable source of information to researchers in bioenergy, green chemistry and sustainability fields. It also provides a useful framework for government agencies, investors and the energy industry to evaluate and predict the success of current and future biorefinery alternatives.
Thermodynamics --- Relation between energy and economics --- Environmental protection. Environmental technology --- Fuels --- biomassa --- energiemanagement (economie) --- thermodynamica --- biobrandstoffen --- alternatieve energie --- duurzame energie --- energie-economie --- hernieuwbare energie --- groene chemie --- duurzaamheid --- biorefinery --- bio-energie --- industrie --- energie (technologie) --- milieuproblematiek --- fossiele brandstoffen
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