Zeta function regularization is a mathematical technique used to assign values to certain divergent series or integrals that are typically undefined in the classical sense. This technique involves the use of the Riemann zeta function and related functions to provide a meaningful interpretation of these divergent expressions. ### Key Concepts 1. **Divergent Series**: Many series or integrals encountered in quantum field theory, number theory, or statistical mechanics can diverge.
Zitterbewegung is a term derived from German that translates to "trembling motion" or "jittery motion." It refers to a phenomenon in quantum mechanics, specifically in the context of relativistic quantum mechanics. The concept primarily arises in the study of the behavior of electrons as described by the Dirac equation, which accounts for both wave-like and particle-like properties of particles.
An Absolutely Maximally Entangled (AME) state is a special type of quantum state that represents a high degree of entanglement between multiple quantum systems. AME states are significant in the fields of quantum information and quantum computing, particularly in tasks that involve multipartite entanglement, such as quantum error correction and quantum communication.
The Bekenstein bound is a theoretical upper limit on the amount of information or entropy that can be contained within a finite region of space that has a finite amount of energy. It was proposed by physicist Jacob Bekenstein in the context of black hole thermodynamics and information theory.
The NOON state is a concept in quantum mechanics and quantum information science that refers to a specific type of entangled state of multiple particles, typically photons. The NOON state is defined as a superposition of two distinct states where the particles are in a defined number of particles in two modes.
The Centre for Quantum Technologies (CQT) is a research institute that focuses on the study and development of quantum technologies. Based in Singapore, CQT is part of the National University of Singapore (NUS) and was established in 2007. Its mission includes advancing the scientific understanding of quantum mechanics and its applications, promoting interdisciplinary research, and supporting the development of quantum technologies, such as quantum computing, quantum communication, and quantum sensing.
The Deferred Measurement Principle, commonly referred to in accounting and finance, relates to how certain items are recognized and measured in financial statements. Specifically, it addresses the timing of when revenues and expenses are recognized, distinguishing between cash accounting and the accrual basis of accounting. Under the Deferred Measurement Principle: 1. **Revenue Recognition**: Revenues are recognized when they are earned, not necessarily when cash is received.
Squashed entanglement is a measure of quantum entanglement introduced to provide a more nuanced understanding of the correlations between quantum systems. It is particularly useful in scenarios where entanglement is mixed or when systems are partially accessible. The concept of squashed entanglement arises from the need to quantify entanglement even when the total state is not a pure state.
The Leggett inequality is a type of inequality derived within the context of quantum mechanics and quantum information theory. It serves as a test for distinguishing between classical and quantum correlations, particularly in the context of the interpretation of quantum mechanics and the nature of reality. Proposed by the physicist Andrew Leggett in the context of his work on hidden variable theories, the inequality provides a mathematical framework to assess the predictions of quantum mechanics against those of classical physics.
Pulse programming generally refers to a type of programming used in the context of quantum computing, specifically in controlling quantum processors. It involves the precise manipulation of quantum bits (qubits) using carefully timed sequences of microwave pulses or other forms of control signals. In more detail: 1. **Quantum Control**: Pulse programming is essential for executing quantum algorithms because it enables the precise control necessary to manipulate qubits accurately.
Quantum Fisher Information (QFI) is a fundamental concept in quantum estimation theory, which quantifies the amount of information that an observable quantum state provides about a parameter of interest. It plays a crucial role in tasks such as quantum parameter estimation, quantum metrology, and quantum state discrimination.
"Quantum Theory: Concepts and Methods" is a widely referenced textbook authored by Nouredine Zettili. The book provides a comprehensive introduction to quantum mechanics, covering both foundational concepts and practical methods used in the field. Key features of the book typically include: 1. **Conceptual Foundations**: It explains fundamental principles of quantum mechanics, such as wave-particle duality, uncertainty principle, superposition, and entanglement.
QxBranch is a company focused on leveraging quantum computing and advanced analytics to solve complex problems in various sectors. Founded in the mid-2010s, QxBranch specializes in the development of tools and technologies that can harness the unique capabilities of quantum computing to improve data analysis, optimization, and machine learning. The company's offerings often include software platforms that facilitate the integration of quantum algorithms with classical computing environments, allowing organizations to explore solutions that were previously infeasible due to computational limitations.
Entanglement of formation is a concept in quantum information theory that quantifies the minimum amount of entanglement needed to create a given quantum state from a collection of unentangled states, typically referred to as product states. In simpler terms, it measures how much entanglement is required to prepare a particular mixed quantum state using a combination of pure entangled states.
The Schrödinger–HJW theorem, often referred to in the context of quantum mechanics and quantum information theory, typically relates to the process of state transformation in quantum systems. It combines elements of the Schrödinger picture of quantum mechanics with the idea of the Horn–Johnson–Wigner (HJW) theorem, which provides a characterization of when certain types of probabilistic mixtures can be represented in specific ways.
William A. Tiller is a physicist and professor emeritus at Stanford University, known for his work in the fields of materials science and applied physics. He has made significant contributions to the understanding of the interactions of electromagnetic fields and matter, particularly in the context of materials research. Tiller has also explored topics related to consciousness and its potential influence on physical reality, blending scientific inquiry with theoretical and philosophical considerations.
An exciton is a bound state formed by an electron and a hole that are attracted to each other by the Coulomb force. This phenomenon typically occurs in semiconductors and insulators when electrons in the valence band are excited to the conduction band, leaving behind holes in the valence band.
As of my last knowledge update in October 2023, "Phoniton" does not have a widely recognized definition or reference in mainstream technology, science, or culture. It might refer to various things depending on the context, such as a project name, product, or a concept in a niche field.
A phonon polariton is a quasiparticle that arises from the coupling of two different types of excitations: phonons, which are quantized modes of vibrations in a lattice (typically in solid materials), and polaritons, which are mixtures of light (photons) and matter excitations.
Radiation enteropathy is a condition that results from damage to the intestines due to exposure to ionizing radiation, often as a part of cancer treatment such as radiation therapy for abdominal or pelvic tumors. The condition can lead to both acute and chronic symptoms affecting the bowel. ### Acute Radiation Enteropathy: - This occurs soon after exposure to radiation and may present with symptoms like nausea, vomiting, diarrhea, abdominal pain, and cramping.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact