Characterizing entanglement is an important issue in quantum information, as it is considered to be a resource for many applications such as quantum key distribution or quantum metrology. One useful tool to detect and quantify entanglement are witness operators. A standard way to construct them is based on the fidelity of pure states and mathematically relies on the Schmidt decomposition of vectors. In this book a method to build entanglement witnesses using the Schmidt decomposition of operators is presented. One can show that these are strictly stronger than the fidelity witnesses. Moreover, the concept can be generalized easily to the multipartite case, and one may use it to quantify the dimensionality of entanglement. Finally, this scheme will be used to provide two algorithms that can be combined to improve given witnesses for multiparticle entanglement.
The idea of race may be outdated, as many commentators and scholars, working in a broad range of different fields in the sciences and humanities, have argued over many years. Nevertheless, it remains one of the most persistent forms of human classification. Theories of race primitivism (the idea that there is a 'natural' racial hierarchy and ranking order of 'inferior' and 'superior' races), race biologism (the belief that people can be classified by genetic features which are shared by members of racial groups), and race essentialism (the notion that races can be defined by scientifically identifiable and verifiable cultural and physical characteristics) are deeply embedded in modern history, culture and politics. Historicizing Race offers a new understanding of this reality by exploring the interconnectedness of scientific, cultural and political strands of racial thought in Europe and elsewhere. It re-conceptualises the idea of race by unearthing various historical traditions that continue to inform not only current debates about individual and collective identities, but also national and international politics. In a concise format, accessible to students and scholars alike, the authors draw out some of the reasons why race-centred thinking has, in recent years, re-emerged in such shocking and explicit form in current populist, xenophobic, and anti-immigration movements.
Eine wilde Zusammenstellung von Gedichten, Kurzgeschichten und diversen Gedankenspielen. Navigiere dich durch einen Dschungel an Themen, der Vergangenes, wie Philosophisches, bis hin zu Beziehungen jeglicher Art umfasst, einen in Schicksalsschläge eintauchen und in Fantasien verlieren lässt. Dem Chaos zuliebe, sind manche Texte auf Deutsch, andere auf Englisch verfasst.
Characterizing entanglement is an important issue in quantum information, as it is considered to be a resource for many applications such as quantum key distribution or quantum metrology. One useful tool to detect and quantify entanglement are witness operators. A standard way to construct them is based on the fidelity of pure states and mathematically relies on the Schmidt decomposition of vectors. In this book a method to build entanglement witnesses using the Schmidt decomposition of operators is presented. One can show that these are strictly stronger than the fidelity witnesses. Moreover, the concept can be generalized easily to the multipartite case, and one may use it to quantify the dimensionality of entanglement. Finally, this scheme will be used to provide two algorithms that can be combined to improve given witnesses for multiparticle entanglement.
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