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Superposition

The superposition principle in linear algebra and linear differential equations states that the results for any two or more interacting phenomena in a system will be the same as a sum of results which would have been caused by each phenomenon individually. The principle is applied in mathematics, physics, quantum physics and engineering primarily.

In quantum mechanics, the principle is used to achieve a solution to Schrodinger's wave equation, and in quantum computing it refers to a third state - AND - of an informational bit [qubit]. In classical reality a wave or particle may be only one thing, either wave OR particle. Before measurement (also known as decoherence or collapse of wavefunction), the system is considered to be maintained as both wave AND particle. This is a superpositional state.

The term superposition is also used in the practice of geology, archaeology and hydrology, describing either deposition of successive layers or concurrence of materials from differing sources.


Web Resources On Superposition

Superposition
Quantum superposition (Wikipedia)
Superposition principle (Wikipedia)


Book Resources On Superposition

Introduction to Quantum Computation by Ioan Burda
Principles of Linear Systems by Philip E. Sarachik

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