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# Quantum Physics Cheatsheet ## Basic Concepts - Quantum physics is the study of the behavior of matter and energy at the atomic and subatomic level. - Quantum mechanics is the mathematical framework used to describe quantum phenomena. - Quantum mechanics is based on the principles of superposition and entanglement. ## Wave-Particle Duality - The wave-particle duality is the concept that particles can exhibit both wave-like and particle-like behavior. - The de Broglie wavelength is the wavelength associated with a particle, given by λ = h/p, where h is Planck's constant and p is the particle's momentum. ## Uncertainty Principle - The uncertainty principle states that the more precisely the position of a particle is known, the less precisely its momentum can be known, and vice versa. - The uncertainty principle is a fundamental limit on the precision of measurements in quantum mechanics. ## Superposition - Superposition is the principle that a quantum system can exist in multiple states simultaneously. - The Schrödinger equation is the equation that describes the time evolution of a quantum system. ## Entanglement - Entanglement is the phenomenon where two or more particles can become correlated in such a way that the state of one particle is dependent on the state of the other(s). - Entanglement is a key feature of quantum computing and quantum communication. ## Quantum Computing - Quantum computing is the use of quantum-mechanical phenomena, such as superposition and entanglement, to perform computation. - Quantum computers are expected to be able to solve certain problems much faster than classical computers. - The most well-known quantum algorithm is Shor's algorithm, which can factor large numbers exponentially faster than classical algorithms. ## Resources - [Quantum mechanics on Wikipedia](https://en.wikipedia.org/wiki/Quantum_mechanics) - [Principles of Quantum Mechanics by R. Shankar](https://www.springer.com/gp/book/9781493929927) - [Quantum Computing for Computer Scientists by Noson S. Yanofsky and Mirco A. Mannucci](https://www.cambridge.org/core/books/quantum-computing-for-computer-scientists/7A8E4A1C30E4C4A9C7F4C4F4D7A4F4A3)