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Quantum Physics and Geometry
This book collects independent contributions on current developments in quantum information theory, a very interdisciplinary field at the intersection of physics, computer science and mathematics. Making intense use of the most advanced concepts from each discipline, the authors give in each contribution pedagogical introductions to the main concepts underlying their present research and present a personal perspective on some of the most exciting open problems. Keeping this diverse audience in mind, special efforts have been made to ensure that the basic concepts underlying quantum information are covered in an understandable way for mathematical readers, who can find there new open challenges for their research. At the same time, the volume can also be of use to physicists wishing to learn advanced mathematical tools, especially of differential and algebraic geometric nature.
Deformation of Artinian Algebras and Jordan Type
This volume contains the proceedings of the AMS-EMS-SMF Special Session on Deformations of Artinian Algebras and Jordan Type, held July 18?22, 2022, at the Universit‚ Grenoble Alpes, Grenoble, France. Articles included are a survey and open problems on deformations and relation to the Hilbert scheme; a survey of commuting nilpotent matrices and their Jordan type; and a survey of Specht ideals and their perfection in the two-rowed case. Other articles treat topics such as the Jordan type of local Artinian algebras, Waring decompositions of ternary forms, questions about Hessians, a geometric approach to Lefschetz properties, deformations of codimension two local Artin rings using Hilbert-Burch matrices, and parametrization of local Artinian algebras in codimension three. Each of the articles brings new results on the boundary of commutative algebra and algebraic geometry.
Fair Resource Allocation and Rationing at the Bedside
Priority setting and rationing contribute significantly to affordable and fair healthcare and clinicians play an indispensable role in these processes. This book offers practical strategies for clinicians to allocate resources fairly, to teach about it to students, and to discuss rationing more explicitly in the public arena and the doctor's office.
Decomposability of Tensors
This book is a printed edition of the Special Issue "Decomposability of Tensors" that was published in Mathematics
Geometry and Complexity Theory
This comprehensive introduction to algebraic complexity theory presents new techniques for analyzing P vs NP and matrix multiplication.
The Ethical and Legal Regulation of Human Tissue and Biobank Research in Europe
"Human tissue and biobank research is of increasing importance for understanding the causes of widespread diseases and developing effective therapies. However, while the success of biobank research depends on the availability of a large number of samples and the consolidation of collections across country borders is very desirable from the perspective of researchers, the legal and ethical requirements for the procurement, storage and use of human tissue samples are rather heterogeneous across different countries. Moreover, the lack of comprehensive supranational regulation on human tissue and biobanking can be seen as posing a serious threat to transnational biomedical research. Against this...
The Law of Off-label Uses of Medicines
This book examines the regulatory framework for untested and unapproved uses (off-label uses) of medicines in the EU, UK, and USA. Before reaching patients, medicines are extensively tested by manufacturers and approved by regulators to minimise the risk of adverse reactions. However, physicians can prescribe pharmaceuticals for off-label uses, widespread in paediatrics, oncology, rare diseases and, more recently, in treatment for Covid-19. While off-label uses may offer hope, they may also expose patients to risks and uncertainties. Clarification is therefore needed to improve the protection of patients' rights while enhancing legal certainty for health actors. To this end, this work clarif...
Quantum Computation and Quantum Information
This book presents the basics of quantum computing and quantum information theory. It emphasizes the mathematical aspects and the historical continuity of both algorithms and information theory when passing from classical to quantum settings. The book begins with several classical algorithms relevant for quantum computing and of interest in their own right. The postulates of quantum mechanics are then presented as a generalization of classical probability. Complete, rigorous, and self-contained treatments of the algorithms of Shor, Simon, and Grover are given. Passing to quantum information theory, the author presents it as a straightforward adaptation of Shannon's foundations to information...
Biobanks and Tissue Research
The research field of biobanks and tissue research is highly promising. Many projects around the globe are involved in the collection of human tissue and health data for research purposes. These initiatives are driven by the perspective of decisive breakthroughs in the knowledge of the genetic pathways involved in widespread diseases. However, there are considerable ethical and legal challenges to be considered as well. These challenges encompass the use of body material for research purposes, the misuse of genetic and other health data by third parties, trust in science and medicine, concerns regarding privacy, use of genetic data for forensic applications by the state and the police, and regulatory issues. This volume is divided into three parts: the inclusion of the public, the rights of donors and patients, examples and recommendations for the future of tissue research. It presents a comprehensive overview of the most important topics in the field by renowned scholars in medical ethics and biolaw.
