Author Archives: anuj - Page 4
Information and Coding Theory
Concepts of Information: Information is defined in terms of probability and surprise. The less likely a message is, the more information it carries. Shannon's definition of information as the base-two…
The Halting Problem for Turing Machines
The Halting Problem for Turing Machines The Halting Problem is a fundamental concept in the theory of computation, specifically related to Turing machines. A Turing machine is a mathematical model…
Quantum vs. Classical States of a Combined System
A classical state doesn't require basis vectors - since it is a simple POINT in phase space. This is true even of combined states in classical physics. In QM, every…
Minkowski and Lorentz Transformations
Minkowski proposed that time itself should be considered as one of the coordinate axes, alongside the three spatial dimensions Lorentz Transformation: The concept of Lorentz transformations, which describe how…
Galois group of a polynomial
The Galois group of a polynomial is a concept in the field of algebra, specifically within Galois theory, which studies the relationship between field extensions and group theory. The Galois…
Boltzmann Entropy and Information Entropy
Boltzmann Entropy Overview Boltzmann entropy is a concept from statistical mechanics, introduced by the Austrian physicist Ludwig Boltzmann. It provides a statistical description of the thermodynamic entropy of a system.…
The Galois Group and Representation Theory
Galois Group Overview The Galois group is a concept from the field of algebra, specifically in the study of field theory and polynomial equations. It is named after the French…
Applications of Qubit Devices
The applications of qubit devices as outlined in the document are diverse and impactful, extending across various fields of science, technology, and industry. Here's a detailed exploration of these applications…
Quantum Gates and Operators in Qubit Devices
Quantum Gates and Operators in Qubit Devices The document provides an in-depth analysis of quantum gates and operators, which are fundamental components of quantum computing. Quantum Gates Quantum gates are…
Types of Qubit devices
Also read and applications of quantum devices Types of qubit devices used in quantum computing include Superconducting Qubits: Principle: Superconducting qubits are based on superconducting circuits, which exhibit quantum behaviors…