Search results
12 hours ago · 1. Probability Theory: The Logic of Science by E. T. Jaynes. The book Probability Theory: The Logic of Science stands out at the top of my list. It goes beyond the conventional mathematics of probability theory by providing deeper and more intuitive explanations of the concepts rather than presenting them as axioms only.
5 days ago · A Basic Duality in the Exact Sciences: Application to QM. There is a fundamental subsets–partitions duality that runs through the exact sciences. In more concrete terms, it is the duality between elements of a subset and the distinctions of a partition. In more abstract terms, it is the reverse-the-arrows of category theory that provides a ...
1 day ago · In quantum information and computation, entanglement is a resource. When combining concepts, the application of entanglement outside of micro-physical systems is an useful tool. We suggest new cognitive image-based tests that do not need to be translated. No prior knowledge of terms related to the concepts is required, therefore the choice is more intuitive. We examine the merging of two ...
Jul 2, 2024 · Now, with expert-verified solutions from Principles of Quantum Mechanics 2nd Edition, you’ll learn how to solve your toughest homework problems. Our resource for Principles of Quantum Mechanics includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. With Expert Solutions for ...
Jun 23, 2024 · It is a common view that von Neumann laid the foundations of a “quantum probability theory” with his axiomatization of quantum mechanics (QM). As such, it is regarded a generalization of the “classical probability theory” due to Kolmogorov. Outside of quantum physics, however, Kolmogorov’s axioms enjoy universal applicability.
4 days ago · This book draft is an introduction to the logic of partitions on a set as well as the (quantum) logic of partitions (direct-sum decompositions or DSDs) on a vector space. Partitions of a set are categorically dual to subsets of a set. Thus the logic of partitions is, in that sense, the dual to the Boolean logic of subsets (usually presented as ...
Jun 18, 2024 · Linear algebra is the language of quantum computing. Although you don’t need to know it to implement or write quantum programs, it is widely used to describe qubit states, quantum operations, and to predict what a quantum computer does in response to a sequence of instructions. Just like being familiar with the basic concepts of quantum ...
